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UkoKoshka [18]
3 years ago
9

Can someone help me?

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
I think the scale factor of one block to the arrangement would be 1/9, since the arrangement contains 9 blocks.

So if the length at the top is 12 cm, the length of the bottom of a trapezoid would be 12(1/9) = 4/3

Since we know that each trapezoid holds 3 equilateral triangles, the length of each side and the top of the trapezoidal would be 4/3 x 1/2 = 2/3 cm

The sum of the angles must equal 360 degrees, and because they are made of equilateral triangles, you know that each angle of the triangle must be 60 degrees. So the bottom two angles of the trapezoid are each 60 degrees, and the top two are 360- 120 = 240 divided by 2 angles = 120 degrees each.
You might be interested in
Two acute triangles are similar. Which of the following must the similar triangle have?
abruzzese [7]
B is the only one that makes sense if you break them each down. An Acute doesnt have every Pair of angles congruent, the don't have to have proportional side lengths, and it can't have a right angle or it would be a right triangle.
7 0
3 years ago
Read 2 more answers
Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is
joja [24]

Answer:

$16

Step-by-step explanation:

This method is probbaly working backwards. I'm not sure.

12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)

8 x 2 = 16 (They mentioned she spent half of her weekly allowance)

6 0
3 years ago
The sum of two consecutive integers is 91. Find the integers.
Reil [10]

Answer:

Let the smaller integer be x and greater integer be (x+1)

x+(x+1)=91

2x+1=91

2x=91-1=90

x=90/2

x=45

7 0
2 years ago
Read 2 more answers
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
anastassius [24]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

It is clear that h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

4 0
3 years ago
A quarter is 1/4 of a dollar. Victor has 32 quarters. how much money does he have
Vikentia [17]

Answer:

its actually a 1/4 of a dollar so it would be 8 dollars

Step-by-step explanation:

32 divided by 4 = 8

hope i helped

8 0
3 years ago
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