The height of a tree is one-half of the height of a tower.
Let m be height of tower. Write a variable expression for the height of tree.

Answer/Step-by-step explanation:

Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides

Apply this knowledge to solve the problems given.

✔️Problem 1 (4-sided polygon):

Let the missing area be x cm²

Therefore,

[tex] \frac{x}{9} = \frac{8^2}{4^2} [/tex]

[tex] \frac{x}{9} = \frac{64}{16} [/tex]

[tex] \frac{x}{9} = 4 [/tex]

Multiply both sides by 9

x = 9*4

x = 36 cm²

✔️Problem 2 (3-sided polygon):

Let the missing area be y cm²

Therefore,

[tex] \frac{y}{240} = \frac{8^2}{32^2} [/tex]

[tex] \frac{y}{240} = \frac{64}{1,024} [/tex]

[tex] \frac{y}{240} = \frac{1}{16} [/tex]

Multiply both sides by 240

y = ¹/16 × 240

y = 15 cm²

✔️Problem 3 (5-sided polygon):

Let the missing area be z cm²

Therefore,

[tex] \frac{z}{40} = \frac{3^2}{2^2} [/tex]

[tex] \frac{z}{40} = \frac{9}{4} [/tex]

Multiply both sides by 40

[tex] z = \frac{9}{4} * 40 [/tex]

[tex] z = \frac{9}{1} * 10 [/tex]

z = 90 cm²

Hey there!

• A.

–5 + 7 – 2 = ?

–5 + 7 = 2

2 – 2 = 0

Answer: 0 ☑️

• B.

–4 * 3 = ?

“Guide”

• Negative & Negative = Positive

• Positive & Positive = Positive

• Negative & Positive = Negative

• Positive & Negative = Negative

• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!

–4 * 3 = –12

Answer: –12 ☑️

• C.

3.5 + 4.5 = ?

5 + 5 = 10

• CARRY your 1

3 + 4 + 1 = ?

3 + 4 = 7

7 + 1 = ?

Answer: 8 ☑️

You basically had to do ORDER OF OPERATIONS / PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

Answer:

[tex]\overline{SR}\sim \overline{NM}[/tex]

Step-by-step explanation:

In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.

Solution :

Given that :

Height of the cylinder, h = 21 cm

Diameter of the cylinder, d = 7 cm

Radius = 3.5 cm

Number of balls fits in the cylindrical container = 3

a). The volume of the container is given by

     [tex]$V = \pi r^2 h$[/tex]

         = 3.14 x 3.5 x 3.5 x 21

         = 807.76 cm cube

b). Volume of each tennis ball is given by :

     [tex]$V=\frac{4}{3}\pi r^3 $[/tex]

    [tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]

       =  179.50 cm cube

c). Volume of three tennis balls = 3 x 179.50

                                                    = 538.50 cm cube

    Therefore, percentage of the container taken up by the three tennis ball is :

[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]

= 50 %

the prime factorization of 140 is 2^2 x 5 x 7

the prime factorization of 80 is 2^3 x 5 x 2

Answer:

D

Step-by-step explanation:

Answer:

[tex]a.\: \frac{1}{12}[/tex]

Step-by-step explanation:

The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.

The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.

Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].

Answer:

3+5=5+3

Step-by-step explanation:

a+b=b+a

comunitive property

Answer:

3+5 = 5+3

Step-by-step explanation:

Communative Property states that the numbers on which we operate         (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

Answer:

thanks for the oints

Step-by-step explanation:

Answer:

D.) 0.075

Step-by-step explanation:

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

Answer:

360 km

Step-by-step explanation:

Let stream speed = x

Speed of water = 3km/hr

Therefore,

Upstream speed = (x - 3) km/hr

Downstream speed = (x + 3) km/hr

Time taken downstream = 15 hours

Time taken upstream = 20 hours

Recall:

Distance = speed * time

Upstream Distance = downstream distance

20(x - 3) = 15(x + 3)

20x - 60 = 15x + 45

20x - 15x = 45 + 60

5x = 105

x = 105 / 5

x = 21

Upstream speed = (21 - 3) = 18

Distance between the two towns :

18 * 20 = 360 km

Answer:

C on Edg

Step-by-step explanation:

<3

Answer:

360 ft^3

Step-by-step explanation:

plz brainliestt

Answer: $825 (B)

Step-by-step explanation:

it’s obvious

Answer: The answer is B!

Step-by-step explanation: It's on edge, hope this helped!

Answer:

16

Step-by-step explanation:

4^2 = 16

4×4=16 thats the answer

Answer:

10/10

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28

If you need more help, you can comment! :)

Answer:

x=29/90 or 0.3222222

Step-by-step explanation:

ok, rewrite the question as a ratio

18/0.29=20/x, cross multiply

18x=.29*20, evaluate x

18x=5.8

x=29/90 or 0.3222222

29

Step-by-step explanation:

29/90

Answer:

y = 3/2x + -14

Step-by-step explanation:

y = -2/3 x

has a slope of -2/3

We want a line perpendicular

Take the negative reciprocal to find the slope

- (1 / -2/3)

3/2

The slope of a line perpendicular is 3/2

Using the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = 3/2x +b

Substitute a point into the equation

-8 = 3/2(4) +b

-8= 6+b

Subtract 6 from each side

-8-6 = b

y = 3/2x + -14

Answer:

Option D

Step-by-step explanation:

Two lines given in the graph represent the system of linear equations.

Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.

Point of intersection of these lines → (1, -1)

Therefore, solution of the given system of equations will be (1, -1)

Option D is the answer.

Answer:

The house is 18.75 feet tall

Step-by-step explanation:

The triangles are similar by the AA postulate.  

We are given the length of the bottom sides of the triangles, 4 and 15 respectively.  

Thus, the ratio is 4:15

We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.

[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]

Thus, the house is 18.75 feet tall.

Answer:

The answer is B

Step-by-step explanation:

Answer is B

Answer:

The answer is B

Step-by-step explanation:

BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER

Answer:

4. C: 98 degrees because the angles are consecutive angles

5. E: None of the above

Explanation: 102 degrees because the angles are corresponding angles

6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.

Step-by-step explanation:

Answer:

4. C, 5. E, 6. C

Step-by-step explanation:

4.

Angles x and 82 degrees are supplementary (add up to 180).

x = 180 - 82 = 98

These angles are consecutive interior angles (they're on the inside).

5.

Angles x and 102 degrees are the exact same.

These angles are corresponding angles. So it's none of these, not vertical or alternate interior.

6.

103 degrees is vertical to <b and <b is corresponding to <x.

Hope this helps!

Answer:

its elastic i got it correct trust me also put brainliet plz

Step-by-step explanation:

Answer:

36pi

Step-by-step explanation:

Volume formula = 4/3 × pi × r^3