Answers
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
BC = [tex]\sqrt{225}[/tex] = 15 → A
Answer:
A
Step-by-step explanation:
Related Questions
Complete the
following patt
using the formula belowo:
Question 2: lf 2,5,8,11,14......is a sequence, Find:
8 th
• 11 th
15 th
• 22 th
• 18 th
Answers
Answer:
8th: 23
11th: 32
15th: 44
22nd: 65
18th: 53
Step-by-step explanation:
The pattern is adding 3 each time:
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65
Hope it helps!
complete the square
x²+8x
pls help lots of points and brainlist
Answers
Answer:
( x + 4 ) ²-16
Step-by-step explanation:
between which two integers that Square Root of 11 Lie?
Answers
Answer:
3 and 4
Step-by-step explanation:
Answer:
3 and 4
Step-by-step explanation:
Activity 1: Put me in the Box!
Direction: Determine the hypothesis and the conclusion of the given statement
the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Answers
Step-by-step explanation:
To find - Determine the hypothesis and the conclusion of the given
statement the hypothesis in Box A and the conclusion in Box B.
1. Vertical angles are congruent
2. Bats are mammals that can fly.
3. You are a good citizen when you obey rules and regulations.
4. A number is divisible by 10 if its last digit is a 0.
5. 3x + 6 = 21, because x = 5
Proof -
Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.
1.)
Given statement - Vertical angles are congruent
Conditional statement - If two angles are vertical , then they are congruent.
Hypothesis - Two angles are vertical
Conclusions - They are congruent.
2.)
Given statement - Bats are mammals that can fly
Conditional statement - If bats are mammals , then they can fly.
Hypothesis - Bats are mammals
Conclusions - They can fly.
3.)
Given statement - You are a good citizen when you obey rules and regulations.
Conditional statement - If you are a good citizen , then you obey rules and regulations.
Hypothesis - You are a good citizen
Conclusions - You obey rules and regulations.
4.)
Given statement - A number is divisible by 10 if its last digit is a 0.
Conditional statement - If a number is divisible by 10, then its last digit is a 0.
Hypothesis - A number is divisible by 10
Conclusions - Its last digit is 0.
5.)
Given statement - 3x + 6 = 21, because x = 5
Conditional statement - If 3x + 6 = 21, then x = 5
Hypothesis - 3x + 6 = 21
Conclusions - x = 5
I will mark you brainiest if right
Sarah buys a car for £32,000. It depreciates at a rate of 2% per year. How many years will it take to be worth less than £30,000?
Answers
Answer:
no f ing clue
Step-by-step explanation:
sym
Which expression is equivalent to 1/7 divided by 2/5
Answers
Answer:
is C
1/7 • 5/2
have a nice day!
HELLLLPPPPPP PLEASEEEEEEE
Answers
Answer:
(19,520-1,478) * 8
Step-by-step explanation:
Please help. Image below.
Answers
Answer:
a) 78
b) 1275.....
Step-by-step explanation:
.............
A group of people went to a coffee shop.
Each person chose a drink and a treat.
number of people who chose coffee: number of people who chose tea = 1:4
Of those who chose coffee,
number of people who chose a muffin number of people who chose a tart = 2:7
Of those who chose tea,
number of people who chose a muffin : number of people who chose a tart = 5:1
What fraction of the people chose a tart?
Answers
Answer:
Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
Step-by-step explanation:
Given - A group of people went to a coffee shop. Each person chose a
drink and a treat. number of people who chose coffee: number of
people who chose tea = 1:4. Of those who chose coffee, number of
people who chose a muffin number of people who chose a tart =
2:7. Of those who chose tea, number of people who chose a muffin
: number of people who chose a tart = 5:1.
To find - What fraction of the people chose a tart?
Proof -
Let the Total number of People went to a coffee shop = 5x
Now,
As given, number of people who chose coffee: number of people who chose tea = 1:4
⇒Total number of people who chooses coffee = [tex]\frac{1}{5}.5x[/tex] = x
Total number of people who chooses tea = [tex]\frac{4}{5}.5x[/tex] = 4x
Now,
As given,
Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7
⇒Total number of people who choose muffin after coffee = [tex]\frac{2}{9}x[/tex]
Total number of people who choose tart after coffee = [tex]\frac{7}{9}x[/tex]
Also,
Given that
Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1
⇒Total number of people who choose muffin after tea = [tex]\frac{5}{6}.4x = \frac{20}{6}x[/tex]
Total number of people who choose tart after tea = [tex]\frac{1}{6}.4x = \frac{4}{6}x[/tex]
∴ we get
Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea
⇒Total number of people who chooses tart = [tex]\frac{7}{9}x[/tex] + [tex]\frac{4}{6}x[/tex]
= [tex]\frac{7}{9}x + \frac{2}{3}x[/tex]
= [tex]\frac{7x + 6x}{9}[/tex]
= [tex]\frac{13}{9}x[/tex]
⇒Total number of people who chooses tart = [tex]\frac{13}{9}x[/tex]
Now,
Fraction of the people chose a tart = [tex]\frac{People choose tart}{Total people}[/tex]
= [tex]\frac{\frac{13}{9}x }{5x}[/tex]
= [tex]\frac{13}{45}[/tex]
⇒Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
24. $5.24 + 23¢ + 2¢ (53)
Answers
Answer:
$5.49
Step-by-step explanation:
Rewrite 23¢ and 2¢ as $0.23 and $0.02, and then combine them: $0.25. Now add this result to $5.24. We get $5.49
A number between 10 and 20 is both a foctor of 60 and
a multiple of 6.
What is the number?
Answers
Answer:
12
Step-by-step explanation:
List out factors of 60 =
1 x 60 = 60
2 x 30 = 60
3 x 20 = 60
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.
List out multiples of 6 from 10 to 20.
12 and 18.
Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.
Plss help......ASAP!!
Answers
Answer:1-12.5 feet, 2-10 feet, 3-13.75 feet, 4-8.125 feet,5-25 feet, 6-20 feet
Step-by-step explanation: All you have to do is break down the scale factor to 1:2.5 and multiply each measurement by 2.5.
pls hurry will give brainliesttt
Answers
Answer:
It's on the line x
Step-by-step explanation:
Draw the line over it
In 2003 a gallon of gas cost $1.75. The cost has risen $0.17 each year since then
Write an equation to represent the cost of gas (in gallons) as a function of years.
What would the cost of a gallon of gas be in 16 years?
Answers
Answer:
x + m × y
$4.47
Step-by-step explanation:
The equation and computation is shown below:
Let us assume the cost of gallon be x
Increase each year be m
And, the number of years be y
So, the equation is
= x + m × y
The cost of gallon of gas in 16 years is
= $1.75 + $0.17 × 16
= $1.75 + $2.72
= $4.47
A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of the width of the box is not taken up by pencils?
Answers
Answer:
Step-by-step explanation:
5.25 - 2.625 = 2.625 inches
Mai says that equations A and B have the same solution.
Equation A: –3(x + 7) = 24
Equation B:x + 7 = -8
Explain why this is true?
Answers
Answer:
Step-by-step explanation:
Equation A:
-3(x + 7) = 24
=> -3x -21 = 24
=> -3x = 45
=> x = -15
Equation B:
x + 7 = -8
=> x = -15
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
Multiply the fraction or 1/3 in the expression.[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
Multiply the whole Inequality by 3 to get rid of the denominator.[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
Solve the Inequality for v-term by making v as the subject.[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
(a)
Find the hypotenuse, c, of the triangle.
4
B
12
Figure not drawn to scale
Answers
Answer:
[tex]\sqrt{160}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\4^{2} +12^{2} =c^{2} \\16+144=c^{2} \\160=c^{2}\\\sqrt{160}=\sqrt{c^{2} }[/tex]
Hope this helps
I am stuck with the above question, please help
Answers
Answer:
D
Step-by-step explanation:
Two lines are parallel if they have the same slope.
the given equation is in the form
y=mx+b
where
m=-5/2
b=-7
m is the slope. You can see this by noting that if you increase x by 1 you increase y by m.
So, in this case, you are looking for a line with slope of -5/2.
You can solve each of the choice equations for y to see which one has the right slope.
A: y=(2/5)x-6 no good
B: y=-(2/5)x-1 no good
C: y=(5/2)x-4 no good
D: y=-(5/2)x-4 GOOD
34.2 was rounded to one decimal place. What is the upper and lower bound?
Answers
Answer:
lower=34.15 upper=34.25
Step-by-step explanation:
Felipe and Makayla each tried to solve the same equation for x.
Original equation: 2x + 6= 3x - 8
The result of Makayla’s first
step was 6 = x - 8
Describe the first step Makayla made to the equation.
Answers
2x + 6 = 3x - 8
2x - 2x + 6 = 3x - 2x - 8
Thus 6 = x - 8
HELP ASAP!!
Find the length of side a
Answers
Given:
b= 6cm
c= 10cm
To find: Side a
Solution:
By Pythagoras’ theorem:
a^2+b^2=c^2
a^2+6^2=10^2
a^2+36=100
a^2=100-36
a^2=64
a= root of 64
a=8cm
Answer:
d. 8
Step-by-step explanation:
by Pythagoras theorem:
(Hypo)² = (Perp)² + (Base)²
(Perp)²= (Hypo)² - (Base)²
= 10 × 10 - 6 × 6
= 100 -36
=(underroot) 64
= 8
pls help me with this question
Answers
Answer:
height = 12 feet
Step-by-step explanation:
r (radius of circle) = 7 ft
pi = 3.14 (in this context)
v = 1/3 * [tex]πr^{2}[/tex] (or pi * radius squared) * h
r squared = 49 ft
v = 1/3 3.14 * 49 * h
v = 1/3 153.86 * h
3v = 153.86 * h
v = 196π
v = 615.44
3v = 1,846.32
1,846.32 = 153.86 * h
h = 12 ft.
Find an equation in point-slope for the line having the slope m m = - 6 and containing the point (8,6)
Answers
Answer:
y-6 = -6(x-8)
Step-by-step explanation:
Here, we want to get the equation of the line in point-slope form
The point slope form is;
y-y1 = m(x-x1)
(x1,y1) represents the slope
We have this as ;
y-6 = -6(x-8)
What is the value of ry' when x = 5 and y = 10?
Answers
Answer:
135
Step-by-step explanation:
Answer:
1250
Step-by-step explanation:
X^3 • Y^1
Since X=5 & Y=10,
Substitute
5^3 •10^1
simplify
5*5*5*10=1250
A sketch of a rectangular patio is shown below. A concrete triangular section is planned for an outdoor fireplace. What is the area of the concrete section, in square units? A rectangle has a width of 69. A segment is drawn from the top left corner down to a point on the bottom side, creating a right triangle. The segment, which is the hypotenuse of the triangle, is 115 units long. From the segment to the bottom left corner is 100 units. A. 517.5 square units B. 1,587 square units C. 3,174 square units D. 7,935 square units
Answers
Answer:
3,174
Step-by-step explanation:
Answer: 3,174
Step-by-step explanation:
115^2-69^2= sqrt8464=92
100+92=whole leg=192
192*69=13248= whole area
69*92=6348
6348/2
=3174
PLS HURRY WILL GIVE BRAINLIEST
Answers
Answer:
C. y= 6x-5
Step-by-step explanation:
Given Information :
Slope (m) = 6
y-intercept (b) = -5
Equation of a line :
y=mx+b
Where :
m = slope
b = y-intercept
So , with the given the information , the equation is :
[tex]y = 6x - 5[/tex]
Point A (2, -3) is translating five units to the left and 4 units up. What is thenew point? *
(-3, 1)
(-5, 4)
(7, 1)
(-3,-7)
Answers
when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?
Answers
Let the required number be "x"
According to the statement:
x(6) - 29 = 37
6x - 29 = 37
6x = 37 + 29
6x = 66
x = 66/6
x = 11
Therefore, the required number is 11.
when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?
SOLUTION:▶️Let the required number be x.
According to the question the equation will form like:
▶️6x - 29 = 37
▶️6x = 37+29 (transposing x to RHS)
▶️6x = 66
▶️x = 66/6 (transposing 6 to RHS)
▶️x = 11
VARIFICATION:According to the question :
▶(️11×6) - 29
▶️ 66 - 29
▶️37
Hence varified..
ANSWER:11
Which is a better buy, 5 for $4.25 or 8 for $6.88?
Answers
Answer:
5 for $4.25
Step-by-step explanation:
First you find how much of one each cost
4.25 divided by 5 = 0.85
6.88 divided by 8 = 0.86
The one for 5 for $4.25 is one cent less
one cent is still money
