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Masteriza [31]
3 years ago
13

PLZ HELP SCALE FACTOR TRIANGLE A. 10.5 cm B. 31.5 cm C. 63 cm D. 189 cm

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

54:18=\dfrac{54}{18}=3:1

Area of the smaler triangle = x

Area of the larger triangle = 567 cm²

Therefore we have the equation:

567:x=3^2:1^2\\\\\dfrac{567}{x}=\dfrac{9}{1}\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63

<h3>Answer: C. 63 cm²</h3>
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Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
Arada [10]

Answer:

Below is the sample response

Step-by-step explanation:

The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

3 0
3 years ago
Read 3 more answers
the table shows ingredients needed to make 1 batch of fruit salad. Mr. Weakland has enough ingredients to make 2 1/2 batches of
Juli2301 [7.4K]

The number of cups of fruit salad that will be in each container is; 3³/₄ cups of fruit salad

<h3>How to divide fractions?</h3>

We are given the table showing the amount of cups of each ingredient as attached.

From the table we see that;

Amount of cups of Pineapple = 2³/₄

Amount of cups of Strawberries = 2¹/₂

Amount of cups of Bananas = 1¹/₂

Amount of cups of Blueberries = 2¹/₄

Now, converting each of the given fractions to improper fractions gives;

11/4, 5/2, 3/2, 9/2

Summing up all the fractions will give us;

11/4 + 5/2 + 3/2 + 9/2

(1/4)(11 + 10 + 6 + 18) = 45/4

Now, since this total amount will be divided by 3, we will have;

45/4 ÷ 3

= 45/4 * 1/3

= 15/4 = 3³/₄ cups of fruit salad

Read more about Dividing Fractions at; brainly.com/question/1622425

#SPJ1

5 0
1 year ago
What is the surface area of a tennis ball with a diameter of 6.7?? With full work please.
Sedbober [7]
So the formula you have to do is A= (pie)(radius)(squared)


divide 6.7 by 2 to find the radius which is 3.35


now do 3.35 * 3.35 ( we are squaring it) which = 11.225

now 11.225 times PIE is 35.264377537


so the answer is 35.264377537

hope that helped!
6 0
3 years ago
Can I have some help?
lisabon 2012 [21]

Answer:

x =  \sqrt{58}

Step-by-step explanation:

first, you should draw a line to separate the triangle from the rectangle

You can get the height if the triangle by saying 16-9

This will give you 7

The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal

Now that we have the measurements of the triangle we can use the Pythagorean theorem

{c}^{2}  =  {a}^{2}  +   {b}^{2}

{x}^{2}  =  {7}^{2}  +  {3}^{2}

{x}^{2}  = 49+ 9

{x}^{2}  = 58

x =  \sqrt{58}

3 0
2 years ago
The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?
Kitty [74]
In five hours the temperature would be -13 degrees F. Hope this helps.
4 0
3 years ago
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