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Andrej [43]
3 years ago
15

The sides of a triangle measure 7, 4 and 9. If the longest side if a similar triangle measures 36, what is the length of the sho

rtest side of this triangle?
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Answer:

16

Step-by-step explanation:

OK, this might sound a bit confusing but I'll give it my best shot.

1. We know all the sides of one triangle, the smaller one. We know that the largest side of the large triangle is 36, and the largest side of our small triangle is 9. This means that they are related.

2. If we take 36 and divide by 9, it gives us 4. This number tells us how much bigger the large triangle is compared to the smaller triangle.

3. Now, we can take the number we just got, 4 and use it to find the other sides of the large triangle.

4. We need the smallest side of the large triangle. We can get this by taking the smallest side of the small triangle, and multiplying it by 4, since we know that the big triangle is 4 times larger than the small one.

5. 4 is the smallest side of the small triangle. We can multiply by 4, which is 16, and your answer!



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Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P
ss7ja [257]

Answer:

\huge\boxed{\text{At least an } 87\%}

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

\displaystyle \frac{x_1+x_2+...x_n}{n}

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as x.

\displaystyle \frac{98+72+87+x}{4} \geq 86 (since we want AT LEAST an 86).

Let's solve this inequality for x.

  • \frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4
  • 98+72+87+x \geq 344
  • 257 + x \geq 344
  • 257 + x  - 257 \geq 344 - 257
  • x \geq 87

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0
3 years ago
The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle.
LuckyWell [14K]

We know that one regular hexagon is consist of the six equilateral triangles.

One of this is ΔAFM every angle in this triangle worth 60°, according to this

∡AFM=60°.

ΔABC is isosceles triangle with angle ∡ABC=120°, because every interior angle in regular hexagon worth 120°.

Angles ∡BAC=∡BCA=30°. Total sum of angles in one triangle is 180°.

∡ACF≅∡BCA=30° at the end we can conclud that angle ∡FAC=90° WHY?

Good luck!!!

5 0
4 years ago
The relation shown in the graph is a function. true or false​
exis [7]

Answer:

true.

Step-by-step explanation:

the line only passes through the y-intercept once.

6 0
3 years ago
What is the value of the constant in the equation that relates the height and width of the rectangle
GuDViN [60]

Answer:

2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2

5 0
3 years ago
Read 2 more answers
Georgia has some 4-inch cubes like the one shown below. Georgia will put the cubes in the box shown below.
marishachu [46]

The question is incomplete. The complete question is :

Georgia has some 4-inch cubes like the one shown below. Georgia will put the cubes in the box shown below. What is the total number of cubes that Georgia needs to exactly cover the bottom of the box with a layer one cube deep?

Solution :

It is given that :

There are small cubes that has a dimension of 4 in x  4 in x  4 in.

There is also a box which has a dimension of 24 in x 20 in x 12 in.

We need to find out how many small cubes will Georgia need to cover the bottom of the box.

So, we need to find out the surface area of the one cube and the box.

Therefore, the surface area of one cube = side x side

                                                                   = 4 inch x 4 inch

                                                                   = 16 square inches

Similarly the area of the box can be find by = length x breath

                                                                        = 24 in x 20 in

                                                                           = 480 square inches

Therefore, dividing the area of the box by the area of the cube, we get

$=\frac{480}{16}$

= 30

So Georgia will require exactly 30 cubes to cover the bottom of the box with a layer of one cube deep.

8 0
3 years ago
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