The base of a triangle is 5 cm greater than the
height. The area is 33 cm². Find the height and
the length of the base.

Answers

Answer 1

Answer:

height= 13.2 cm

Step-by-step explanation:

h = 2 × A/b

h = 2 × 33 /5

= 13.2


Related Questions

Can someone please help me? I’ll give brainliest to the first person who gets it right

Answers

Answer:

128 degrees

Step-by-step explanation:

B = D

B = 128

Therefore, D = 128

This shape has these characteristics:

 ⇒ there are two sets of parallel sides

      ⇒ This shape is a parallelogram

Since this shape is a parallelogram:

  ⇒ meaning that angles opposite to each other

       ⇒ equal in measure

Since ∠B and ∠D are opposite each other

  ⇒ ∠D = 125°

Answer: ∠D = 125°

Hope that helps!

why is smallest possible angle of a 36-gon 5 degrees instead of 4.72222222222?

Answers

The smallest interior angle of the given regular polygon with 36 sides is; 170°

How to find the sum of interior angles of a polygon?

The formula for calculating the sum of interior angles of a regular polygon is; S = (n − 2) × 180°

where n is number of sides of the polygon

We are told that number of sides of ploygon is 36. Thus;

S = (36 - 2) × 180°

S = 6120°

Thus;

Smallest possible angle of polygon = 6120/36 = 170°

Sum of external angles of a regular polygon is;

S = 360/n

S = 360/36

S = 10°

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How many miles per hour does a sneeze travel? 1 10 100 1000

Answers

The average speed of sneeze is about 100 miles per hour.

What is the average speed of sneeze?

The average speed of sneeze is determined from the total distance traveled by the sneeze to the total time of motion of the sneeze.

Averagely a sneeze can travel as fast as 100 miles in an hour, which is equivalent to 44.7 m/s.

Thus, the average speed of sneeze is about 100 miles per hour.

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A building has a height of 40 feet and a length of 20 feet. On a scale drawing of the building, the height is 20 centimeters. What is the length of the building on the scale drawing in centimeters?

Answers

Answer:

10 centimeters

Step-by-step explanation:

For the height:

40 ft / 20 cm = 2 ft / cm

With this ratio, we find the length as follows:

2 ft / cm = 20 ft / x cm

[tex]2 = \frac{20}{x} [/tex]

[tex]2x = 20[/tex]

[tex]x = 10[/tex]

Answer:

10 cm

Step-by-step explanation:

Look at the answer

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 inches. Find the surface area. Round to the nearest tenth.

Answers

The surface area of the square pyramid will be 78.08 square inches.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

[tex]SA = P\times\dfrac{l}{2}[/tex]

[tex]SA = 25.6\times \dfrac{6.1}{2}[/tex]

SA = 78.08 square inches

Therefore the surface area of the square pyramid will be 78.08 square inches.

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If the ordered pair (-5/2, y) lies on the graph of y=7-2x, find the value of y.
19/2
012
02

Answers

The correct answer is option B which is the value of Y will be 12.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

If the ordered pair (-5/2, y) lies on the graph of y=7-2x,

The value of Y will be calculated as:-

Y = 7 - 2x

Y = 7 - 2 ( -5/2 )

Y = 7 - ( - 5 )

Y = 7 + 5

Y = 12

Therefore the correct answer is option B which is the value of Y will be 12.

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two variables x and y have corresponding values as shown in the table below. x=2,3,a and y=20,40,104 given that y varies directly as x power 2+1 find (a) value of k (b) value of a ​

Answers

The value of k is 4 and the value of a is 5

How to determine the value of k?

The table of values is given as:

x=2,3,a

y=20,40,104

The variation is given as:

[tex]y\ \alpha\ x^2+1[/tex]

Express as an equation

y = k(x^2 + 1)

When x = 2, y = 20.

So, we have:

[tex]20 = k(2^2 + 1)[/tex]

Evaluate the sum

20 = 5k

Divide by 5

k = 4

Hence, the value of k is 4

How to determine the value of a?

In (a), we have:

y = k(x^2 + 1)

Substitute 4 for k

y = 4(x^2 + 1)

When x = a, y = 104.

So, we have:

104 = 4(a^2 + 1)

Divide by 4

26 = a^2 + 1

Subtract 1 from both sides

a^2 = 25

Take the square root

a = 5

Hence, the value of a is 5

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The scatter plot shows the relationship between the mass of a tree and the total mass of the vegetation within 100 square meters of the tree.

Answers

The regression equation is given by [tex]\overline{y}=50-0.01x[/tex]

We have given that,

The scatter plot shows the relationship between the mass of a tree and the total mass of the vegetation within 100 square meters of the tree.

What is the formula for slope?

The slope =change in y/change in x

We have given the two points (100,40) and (25000,2)

Therefore the slope of the given point is,

[tex]=\frac{25-40}{2500-1000} \\=-0.01[/tex]

The y-intercept is the value of y when x=0 this implies that y=50

Therefore the regression equation is given by

[tex]\overline{y}=50-0.01x[/tex]

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Help me with this question please!! :)

Answers

Answer: 9516793/9765625

Step-by-step explanation:

We can subtract the probability none of them have been vaccinated from 1.

If 52% of people are vaccinated, then 48% of people are not vaccinated.

Thus, the probability is [tex]1-(0.48)^{5} =\frac{9516793}{9765625}[/tex]

Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.

What expression could she write to determine the perimeter of the triangle if s represents the length of the shortest side?

Answers

The garden's perimeter = 3+2s+12+s.

The simpler version of the expression = 15+3s.

The variable's frequency in the abbreviated statement is 3.

Calculation of a triangle's perimeter:

The triangle's perimeter is equivalent to the sum of its edges, where a, b, and c are its sides.

Let the triangle's longest edge be 'a'shorter one to be 's'the opposite side 'b'

With the information provided, the formula will become 'a = 3+2s'

and 'b' is also 12 ft.

Triangle perimeter =the total of its edges

= a + b + s                                                                    

= 3 + 2s + 12 + s

= 15 + 3s

As a result, the garden's perimeter = 3+2s+12+s.

Therefore,the simpler version of the formula is 15+3s.

The variable's coefficient in the abbreviated statement is 3.

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hello, please help me match these!

Answers

Answer:

1)x+1

2)x-1

3)x+1,R-1

Step-by-step explanation:

please mark me as brainlest

Alina has $20 in her account she wants to purchase a purse shoes that cost $45 if the line makes the purchase which ener will represent the amount of money in the line of the account

Answers

The line represent the amount of money in the line of the account will be x + y = 45.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has $20 in her account she wants to purchase a purse, shoes that cost $45.

If the line makes the purchase, Then the line represent the amount of money in the line of the account will be

x + y = 45

where x be the price of purse and y be the price of shoe.

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which of the following would be an acceptable first step in simplifying the expression tan^x/1+sec^x

Answers

The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.

Which is the first step to simplifying the given expression?

Here we have the expression:

[tex]\frac{tan(x)}{1 + sec(x)}[/tex]

Remember that:

[tex]tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}[/tex]

Replacing that would be the "step zero", we can write:

[tex]\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }[/tex]

The first step to simplify this, is taking the product between the denominators:

[tex]\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}[/tex]

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Answer:

tanx(1-secx)/(1+secx)(1-secx)

Step-by-step explanation:

aP E

Sketch the graph that has an area of 0.89 under the standard normal curve and to the right of the​ z-score. Then find the associated​ z-score.

Answers

The normal distribution is also known as the Gaussian distribution. The correct option is D, while the z-score is -2.29.

What is Normal Distribution?

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Since the normal distribution is symmetrical about the mean. Therefore, 0.89 area from the left will be equal to 0.11 area from the right. Therefore, the correct option is D, while the z-score is -2.29.

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3
The graphs below show measurements from cubes with
different side lengths.
Perimeter of 1 Face
24
2
10
2
40
36-
32-
8 28-
2
Side Length
Which pairs of variables have a linear relationship?
Select two options.
side length and perimeter of 1 face
perimeter of 1 face and area of 1 face
O surface area and volume
area of 1 face and surface area
Oside length and volume

Answers

The pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.

What is the Graph of a Linear Equation?

The graph of a linear equation that shows a linear relationship between two variables are straight line graphs.

The graph shown is a straight line graph, therefore, it shows a linear relationship. Therefore, the pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.

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PLEASE HELP
The function
shown.
Select from the drop-down menus to correctly describe the end
f (x).
behavior of
f(x) = -2(0.25) + 1is
As x decreases without bound, the graph of
Choose...
Choose...
As x increases without bound, the graph of
f (x)
‹ƒ (x)
f(x)
1 2
5
4
3
2
1
-4-3-2-11.
3
1
2 3
4 5
4
6
5 6
7 8

Answers

Mmm try 12 and 5 I think

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closest to the mean of this distribution?

A.3
B.5
C.7
D.9
E.4

Answers

I think the answer is be

A rope is broken up into 3 pieces. The first piece is three times bigger than the second piece and the third piece is eight feet more than the first piece. How big is each piece if the sun of all pieces is 64 feet ?

Answers

The first piece is 24 feet, the second piece is 8 feet, and the third piece is 32 feet

x² +5-x when x = 5

Jamaymaykgajwnammagmaganhsnagm

Answers

Answer:

25

Step-by-step explanation:

you first solve for the expontes. 5 to the power of 2 is 25 plus 5 is 30. subtract 5 from that and we're back at 25

Answer:

25

Step-by-step explanation:

When we plug in 5 for x, we get 25+5-5=25.

A rectangular garden is 15 ft longer than it is wide. Its area is 450
ft^2
. What are its dimensions?

Width equals =------

Length equals=-----

Answers

Answer:

Width= 15ft and Length= 30 ft

Step-by-step explanation:

Length=15+w

Area=450 ft square

(15+w)(w)=450

w²+15w=450

w²+15w-450=0

(w+30)(w-15)=0

w= -30, 15

width can't be negative so possible answer is 15 ft

Length = 15+15=30 ft

what is the general term for sequence -6;3;15;30?​

Answers

Answer:

[tex] \frac{3}{2} n {}^{2} + \frac{9}{2} n - 12[/tex]

Step-by-step explanation:

This sequence is a quadratic sequence meaning that we should find the difference and the constant second difference.

The difference between the 4 terms is in the sequence:

9;12;15

The constant second difference is 3.

Use your method of finding the general term:

2a=3 3a+b=9 a+b+c=-6

a=3/2 3(3/2)+b=9 3/2+9/2+c=-6

b=9/2 c=-12

Standard form for quadratic sequence:

[tex] {an}^{2} + bn + c[/tex]

Therefore your general term is the one stated above in the answer.

Hope that helps!

S
Which triangle is similar to ABC if sin(A) = cos(A)=√15, and tan(A)=√1
R
5
12
13
T
D
3
12
f
3√15
O
2
K
√15
Σ.
M
O
3
L√6 N
X
6√15
N
O
24
6

Answers

Answer: Option 4

Step-by-step explanation:

Similar triangles have congruent angles, so this means that the sines, cosines, and tangents should be the same.

Thus, the side lengths of the triangle we want to find should be multiples of  [tex]1, \sqrt{15}, 4[/tex].

This eliminates options (1) and (3).

Between options 2 and 4, we know that the Pythagorean theorem is not satisfied by option (2), thus we should eliminate it.

This leaves us with option (4)

The distance AB= [?] Round to the nearest tenth.

Answers

Answer:

3.6Step-by-step explanation:

A = ( -2, 1 )

B = ( 1, -1 )

[tex]\boxed{\bf x_1 : - 2}[/tex] [tex]\boxed{\bf x_2 : 1}[/tex]

[tex]\boxed{\bf y_1 : 1}[/tex] [tex]\boxed{\bf y_2 : - 1}[/tex]

______________________________

[tex]\sf d = \sqrt{(x_2 -x_1) ^{2} + ( y_2 - y_1) ^{2} } [/tex][tex]\sf d = \sqrt{(1 - ( - 2)) ^{2} + ( - 1 - 1) ^{2} } [/tex][tex]\sf d = \sqrt{ {3}^{2} + {( - 2)}^{2} } [/tex][tex]\sf d = \sqrt{(9 + 4)} [/tex][tex]\sf d = \sqrt{13} [/tex][tex]\sf d = 3.6[/tex]

______________________________

Fill in the blank. In the triangle below, y=? Round your answer to two decimal places.

Answers

Answer:

z= 38°

Step-by-step explanation:

z= 90(from right angle)+52=142

180-142=38°

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?

y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20

Answers

Answer:

y=2x+20

Step-by-step explanation:

x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20

Hope this helps :)

The function y=(x-4)2+3 is a transformation of the function y=x2. How is the functions vertex affected by the transformation?

Answers

It is shifted 4 units right and 3 units up.

The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.

Answers

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The function g is related to one of the parent functions g(x) = |x − 1| + 5.

Then the parent function f(x) will be

f(x) = |x|

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).

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can someone please help me?!? 25 points

please write wether each one is a function or a growth rate!!!

Answers

Answer:

See below

Step-by-step explanation:

There are 52 weeks in a year, so divide t by 52

= 120 (1.016)^(t/52)

      then the % for one week =   1.016^1/52 = 1.0003  = .03%

which function has an asymptote at x=5 and an x-intercept of (6,0)?

Answers

The function is f(x) = log(x - 5).

What is Asymptotes?

A line or curve that acts as the limit of another line or curve.

The complete question is

Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5

let us take,

f(x) = log(x - 5)

y = 0, then

0 = log(x-5)

x - 5 = [tex]e^{0}[/tex]

x - 5 = 1

x = 6

So, it can be conclude that the x-intercept is at (6, 0)

Hence, the function is f(x) = log(x - 5).

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The blue dot is at what value on the number line -3 -1

Answers

Answer:

It's +2

Step-by-step explanation:

As the positive occurs on the right side of the negatives in the number line so if we keep extending on the right side so we get +2

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Me no like this meth and me is not smart halp Diamond Line is a distributor of everything a florist needs to create a beautiful arrangement except the flowers. It sells to 10,000 flower and gift shops and 3,000 supermarkets nationwide. Each florist is called on four times a month, and each supermarket is called on twice a month. A sales call to a florist takes one hour, and a sales call to a supermarket takes two hours of selling time. An average salesperson spends 1,000 hours per year making sales calls. Calculate the number of salespeople Diamond Line needs to cover its account base for a year. John and Sarah are standing______ the sunA underB inC onD below Organisms with the most beneficial traits will survive. This is commonly known as. Which list places the three types of radiation in order from least penetrating to most penetrating? a.gamma, alpha, beta b.gamma, beta, alpha c.alpha, beta, gamma d.alpha, gamma, bet The function f(x) is shown on the graph.-181x1512-Hr)-9-6-3--3T3912-1018+If f(x) = 0, what is x?O 0 onlyO -6 onlyO-2, 1, or 3 onlyO-6, -2, 1, or 3 only Someone or anyone pls help me, I just want the answers pls its so urgent People would come from all over the greater city lines for Sami's Sushi until the owner of Sami's decided to expand to some of the well-populated suburbs. This decision was a corporate-level strategy referred to as ______. 1.write the chemical equation for transpiration 2.what is translocation ??,give the chemical equation for translocation plss help will mark brainlest.. If f(x) = 3x 1 and g(x) = x + 2, find ( g)(x) Please help, been stuck on this for ages! factorise x - 2xz - 2xy + 4y. Show all the steps. What is the value of the expression 24 + 3? What is the value of the expression 24 + 3 ? During the Gilded Age, industrialists got rich as the price of manufacturing products 6x -8=16 solve equation Barrys Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barrys will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barrys will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.) the suffix ose indicates what 9. What happens to the food in the mouth? Sharon Bohnette owns 1,000 shares of Northern Chime Company. There are fourseats on the board of directors up for election and Ms. Bohnette is one of the nominees.Under the traditional method of voting, how many votes may she cast for herself? Howmany votes may she cast for herself under the cumulative method of voting? ANSWER ALL QUESTIONS QUESTION 1 (a) List and Explain the FIVE elements of financial statements as defined in the IASB'S Framework. (5 marks) (b) Explain TWO fundamental qualities of financial information. (c) Explain SIX subsidiary books of Book-keeping accounting. Total = (15 marks) (4 marks) (6 marks) ANSWER ALL QUESTIONS QUESTION 1 ( a ) List and Explain the FIVE elements of financial statements as defined in the IASB'S Framework . ( 5 marks ) ( b ) Explain TWO fundamental qualities of financial information . ( c ) Explain SIX subsidiary books of Book - keeping accounting . Total = ( 15 marks ) ( 4 marks ) ( 6 marks )