Answer:
El soluccion es 20m.
Step-by-step explanation:
Para encontrar la base major necesitas saber el area, la altura, y el base menor.
Puedes usar la formula para la area de un trapecio: [tex]A=\frac{a+b}{2} *h[/tex]
Pero se puede cambiar por lo que es en términos de encontrar la base más grande:
[tex]b=2\frac{A}{h} -a\\A=Area\\h=altura\\a=base-menor\\b=base-major[/tex]
Y si conectas las variables que conoces, siempre podrás encontrar la que no tienes
[tex]b=2\frac{120}{8} -10\\b=20[/tex]
The width of a rectangle is the length minus 3 units. The area of the rectangle is 10
units. What is the width, in units, of the rectangle?
Answer:
w=2
Step-by-step explanation:
A=length times width (A=lw)
w= l-3
A=10
Substituting in, we get:
10= l(l-3)
Now, solve the equation.
10= [tex]l^{2}[/tex]-3l
[tex]l^{2}[/tex]-3l-10=0
(l+2) (l-5)=0 (factoring the equation)
Therefore, l= -2 or 5
Throw out the negative value because a length of rectangle will never be negative.
Now let's solve for width
Remember w=l-3
therefore
(5)-3=2
so, w=2
(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)
Answer:
w=2 l=5
Step-by-step explanation: I got it right
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?
[tex]\text{I don't know your answer choices, but general the first thing}\\\text{you would do is move the x variables to one side or the single variables}\\\text{Doign this will allow you to set up the equation to divide}\\\\\text{You need to find the x value, so having the x values on one side}\\\text{and the one values on the other side will allow you to solve for x}[/tex]
Aaron started at a height of 43 feet in the air. He jumped feet first from the cliff into the water below. The total
distance he traveled was 52 feet. How far underwater did Aaron travel?
Answer:
Aaron travelled about 9 feet underwater
Step-by-step explanation:
We need to work with the information we are given in the question.
there are two stages of Aaron's travel. the first distance was in the air, and the second distance was in the water.
We are given both the total distance travelled and the distance travelled in the air.
To get the distance travelled in water, we subtract the distance travelled in the air from the total distance.
This will be 52 feet - 43 feet = 9 feet
Hence Aaron travelled about 9 feet underwater
Plzzzzzzzxxz help me
Answer:
14 cups
Step-by-step explanation:
20-2.50= 17.50
17.50 = 1.20x
1.20 1.20
x=14.6 or 14 cups
Write a phrase for the algebraic expression:
s +7
There are many possible answers for this.
One example is below.
S = the number of stations included when a person orders basic cable, write an expression for the number of stations a person has if he ordered basic cable and 7 premium channels.
We can represent this as s + 7.
The value that we don't know is the number of
stations included when a person orders basic cable.
So we can represent that as s.
Then, since the person ordered 7 premium channels, that means he
is adding an additional 7 channels to his basic cable plan.
So we can represent this as s + 7.
Answer:
a number plus 7
Step-by-step explanation:
s+7
Let s represent an unknown number
a number plus 7
what is the equation of the line of best fit for the following data (4,3) (6,4) (8,9) (11,12) (13,17)
Answer:
The table of data is shown below
The equation of line best fit is given in the form y=mx+b
to find the slope 'm', follow these steps:
STEP 1
Mean (X) = \frac{4+6+8+13+11}{5}=8.4
Mean(Y)= \frac{17+12+9+4+3}{5}=9
STEP 2
Refer to Picture 2 and Picture 3 for the working out of ( x_{i} -mean(X)) and ( y_{i} -mean(Y))
( x_{i}-X)( y_{i}-Y) =(-4.4)(8)+(-2.4)(3)+(-0.4)(0)+(2.6)(-5)+(4.6)(-6)
( x_{i}-X)( y_{i}-Y) =(-35.2)+(-7.2)+0+(-13)+(-27.6)=-83
STEP 3:
( x_{i}-X) ^{2} = (-4.4)^{2}+ (-2.4)^{2}+ (-0.4)^{2}+ (2.6)^{2}+ (4.6)^{2}=53.2
STEP 4:
To find slope, divide answer in STEP 2 by the answer in STEP 3
m= \frac{-83}{53.2} =-1.56
STEP 5:
b=Mean(Y)-[slope*mean(X)]
b=9-(-1.56*8.4)=22.105
We have the slope, m=-1.56 and y-intercept of 22.105
The equation of line is
y=22.105-1.560x
Correct answer: Last statement
Step-by-step explanation:
Find Sn for the given arithmetic series.
01 = -40, d = -7, n = 22
Answer:
[tex]\large \boxed{-187}[/tex]
Step-by-step explanation:
The formula for the sum of n terms of an arithmetic sequence is
aₙ = a₁ + (n-1)d
If a₁ = -40, d = -7, and n = 22
[tex]\begin{array}{rcl}S_{22} & = & -40 + (22 - 1)(-7)\\& = &-40 + 21(-7)\\& = & -40 - 147\\& = & \mathbf{-187}\\\end{array}\\ \text{The sum of the first 22 terms is $\large \boxed{\mathbf{-187}}$}[/tex]
Over what interval is the function in this graph increasing?
Answer:
B. -4 ≤ x ≤ 1.
Step-by-step explanation:
The function is increasing when the slope of the line is rising to the right.
Each division on the x axis has a value of 2
Jack picked 60Apples from an apple tree he uses 12 of them to make applesauce replaces the remaining apples equally into six gift basket which equation can be used to determine the number of Apples place is in to each gift basket?
Answer
60 apples minus how many she picked (12) or 60-12 divided by 6 baskets. The answer will be 60-12=48. 48 divided by 6 equals 8. The ANSWER IS 8
Step-by-step explanation:
The formula used to calculate how many apples should be included in each gift basket is as follows:
6x = 48
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Jack has 48 apples left after using 12 of the 60 apples he took from the tree to make applesauce.
The leftover apples will be distributed equally among six gift baskets, he said. He puts x apples in each present basket, where x is the number of apples. Then he adds six times as many apples to each of the six gift baskets.
He has to fill the gift baskets with 48 apples, thus we can create an equation:
6x = 48
We may divide both sides of the equation by 6 after finding the value of x:
x = 8
Hence, Jack needs to fill each of the six gift baskets with 8 apples.
Learn more about Permutation and combination here:
https://brainly.com/question/15268220
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what would the sum be?
Answer:
-5|0|-7
-6|-4|-2
-1|-8|-3
I'm guessing it is addition
Hope this helps
Step-by-step explanation:
What is the factorization of the polynomial below?
- x2 - 15x - 56
A. (X + 8)(x + 7)
B. (x+3)(x - 7)
C. -1(x+8)(x + 7)
D. (-x+3)(x-7)
Answer:
C
Step-by-step explanation:
When you multiply -1(x+8)(x+7)
(-x-8)(x+7)
-x(x+7)-8(x+7)
[tex]-x^{2}-15x-56[/tex]
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $ 31,905 . The variable costs will be $ 8.50 per book. The publisher will sell the finished product to bookstores at a price of $ 19.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
Step-by-step explanation:
Let x = no. of books
:
Cost = 12.50x + 54150
:
Revenue = 25x
:
Rev = cost
25x = 12.5x + 54150
25x - 12.50x = 54150
12.5x = 54150
x = 54150%2F12.5
x = 4332 books need to be sold to cover production costs
:
:
Check:
c = 12.50(4332) + 54150
c = 54150 + 54150
c = 108300
:
r = 25(4332)
r = 108300
The upper-left coordinates on a rectangle are (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis, and the upper-right coordinates are (-3,8)(−3,8)left parenthesis, minus, 3, comma, 8, right parenthesis. The rectangle has an area of 151515 square units.
Draw the rectangle on the coordinate plane below.
Answer:
The other two co-ordinates are (-3, 5) and (-8, 5).
Step-by-step explanation:
Consider the rectangle ABCD.
A = upper-left coordinates = (-8, 8)
B = upper-right coordinates = (-3, 8)
C = lower-left coordinates
D = lower-right coordinates
Let the side AB form the length of the rectangle.
Compute the distance between the points A and B as follows:
[tex]AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(-3+8)^{2}+(8-8)^{2}}\\=\sqrt{(5)^{2}}\\=5[/tex]
The length of the rectangle ABCD is 5 units.
The are of ABCD is given as 15 square units.
Compute the breadth of the rectangle as follows:
[tex]\text{Area}=\text{l}\times\text{b}\\15=5\times\text{b}\\b=3[/tex]
So, the breadth of the rectangle is 3 units.
Then from point B, 3 units below would be (-3, 5).
And from point A, 3 units below would be (-8, 5).
The rectangle on the coordinate plane is attached below.
Answer: look downer
Step-by-step explanation: The other answer makes no sense, so here is a better view.
The figure consists of a chord, a secant, and a tangent to the circle. The diagram is not drawn to scale.What is the value of x? Round the answer to the nearest unit.
Answer: 8.46 ✌️
Pythagorean’s theorem
Maria invests 1500$ into an account with a 2% annual rate. Compounded annually the value of her account is given by A=1500(1.02)t, where t is the number of years invested. If interest is compounded monthly which of the following represents the value of Maria’s investment.
Answers are the pic
Answer:
D
Step-by-step explanation:
Pls brainliest!!
Brainliest question please help me please
Answer:47 units
Step-by-step explanation:Gay
AG is congruent to what? In the picture
Answer:
D
Step-by-step explanation:
If 2 tangents are drawn to a circle from the same external point then they are congruent.
AG and AE are tangents to the circle from the same external point, thus
AG is congruent to AE
AG is congruent to AE. Then the correct option is D.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
If two tangents are drawn to a circle from the same external point then they are congruent.AG and AE are tangents to the circle from the same external point.
Hence, the correct option is D.
To know more about congruency follow
https://brainly.com/question/2938476
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pls help for brainliest
Answer:
70cm2
Please mark
Step-by-step explanation:
Answer:
396 cm²
Step-by-step explanation:
The figure is composed of 2 rectangles.
The vertical rectangle on the left has area (A) calculated as
A = 27 × 10 = 270 cm²
The horizontal rectangle on the right has area (A) calculated as
A = 9 × (24 - 10) = 9 × 14 = 126 cm²
Thus area of figure = 270 + 126 = 396 cm²
Solve 10x^2=6+9x
Help please
Answer:
B
Step-by-step explanation:
If f(x) = 1-x2 and g(x) = 1 - x which is the rule of function (f – g)(x)?
Answer:
-x^2 +x
Step-by-step explanation:
f(x) = 1-x^2
g(x) = 1 - x
f(x) - g(x) = 1-x^2 - (1 - x )
Distribute the minus sign
= 1-x^2 -1 +x
Combine like terms
= -x^2 +x
What is the value of x in the equation-5/8 x=-160
Answer:
256
Step-by-step explanation:
Just divide each side by -0.625.
x = 256
I will mark it as brainliest John, Yenni, Peter and Amber have a total of 1026 marbles. If Yenni gives away 60 of her marbles, she will have 1/4 of the marbles John has. If Peter buys another 150 marbles, he will have 1/2 the number of marbles John has. If Amber doubles what she has, she will have the same number of marbles as John. How many marbles did Yenni have? I will mark it as brainliest
Answer:
2,172
Step-by-step explanation:
not too sure sorry
Answer:
184
Step-by-step explanation:
y + j + p + a = 1026
y - 60 = j/4 -------> y = (j/4) + 60
p + 150 = j/2 -----> p = (j/2) - 150
2a = j -------> a = j/2
y = ?
y + p + j + a = 1026
(j/4) + 60 + (j/2) - 150 + j + (j/2) = 1026
(j/4) + j + j - 90 = 1026
(j/4) + 2j = 1116
9j/4 = 1116
9j = 4464
j = 496
y = (496/4) + 60 = 184
Simplify
2 * (3 - 1) + 3
7
8.
10
11
Answer:
7.
Step-by-step explanation:
Follow the order of operations.
We do the operation in the bracket first. So we are left with:
2 * (2) + 3
We multiply before we add, so:
4 + 3.
Finally, we add.
7.
I hope this helps!
I want to know what is 600 minutes to days
Answer:
Not even a whole day. To be exact, it is .416667 of a day
Step-by-step explanation:
Since 60 minutes are in 1 hour, than 600 minutes would be 10 hours.
24 hours in a day, so you are 14 hours short, about 840 minutes.
Answer:
~0.42 days
Step-by-step explanation:
60 minutes in one hour
60 times 24 = 1440 minutes in a day
600 minutes divided by 1440 = 0.4166666667...
Rounded up to 0.42
technically not a whole day but yeah
Zak paid 450 dorllarsfor a motor at discount of 10% find the actual selling price of the motor I need it ASAP
Answer:
hey. Answer is $495 as the actual price of the motor without discount.
Step-by-step explanation:
So you would multiply 450 by .10 and you get 45. So he got $45 off. Then add 450 to 45. Yoy get $495!
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3? (-1, ___)
Answer:
the y value is 5. (-1,5)
Step-by-step explanation:
first you plug in -1 to the equation where the x is. f(-1)=-2(-1)+3. then solve with a calculator and you will get 5 as your y value. plug the equation in Desmos.
Answer:
the y value is 5. (-1,5)
Step-by-step explanation:
first you plug in -1 to the equation where the x is. f(-1)=-2(-1)+3. then solve with a calculator and you will get 5 as your y value. plug the equation in Desmos.
the average newborn baby weighs 7.9 lbs with standard deviation of approximately 0.5lbs. if this is normal distribution then what percentage of babies would be at least 9.4 lbs.
Answer:
99.87%
Step-by-step explanation:
We would be using the Z score formula to solve this question. The formula is given as:
z = (x-μ)/σ,
Where :
x = observed value = 9.4lbs
μ = mean or average value = 7.9lbs
σ = Standard deviation = 0.5lbs
z = (9.4- 7.9)/0.5
z = 3
The z score = 3
Using the normal distribution table to find which percentage of babies would be at least 9.4lbs
P(x<Z) = 0.99865
Converting this to percentage = 0.99865 × 100 = 99.865%
Approximately = 99.87%
Therefore, the percentage of babies would be at least 9.4 lbs = 99.87%
The line AB has midpoint (2, 5).
A has coordinates (1, 7).
Find the coordinates of B.
Answer:
(3,3)
Step-by-step explanation:
Answer:
(3,3)
Step-by-step explanation:
To find the midpoint add the x coordinates together and divide by 2
(1+ xb)/2 = 2
1+ xb = 4
xb = 4-1
xb =3
To find the midpoint add the y coordinates together and divide by 2
(7+ yb)/2 = 5
7+ yb = 10
yb = 10-7
yb =3
What is the variance with the data 8 2 4 3 5
Answer:
The variance is approximately equal to 5.3
8 points + big brain!
Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!
Answer:
Whole number= n
n= a²- b²= (a+b)(a-b)There are infinitely many numbers satisfying this condition. Providing some examples:
a=50, b= 13 ⇒ n= (50+13)(50-13)= 2331a= 8, b=4 ⇒ n= (8+4)(8-4)= 48a= 15, b= 12 ⇒ n= (15+12)(15-12)= 81a= 6, b= 1 ⇒ n= (6+1)(6-1)= 35a= 70, b= 20 ⇒ n= (70+20)(70-20)= 4500