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natka813 [3]
2 years ago
7

A triangle has area 42 cm squared find the height in centimeters if it is 5 cm shorter than the base

Mathematics
1 answer:
topjm [15]2 years ago
3 0
<span>Base = 12cm
Height = 7cm</span>
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Explain please with details
lesya [120]

Answer:

Step-by-step explanation:

She has 36 yards of material.

She needs 1 1/3 + 1/6 for each place setting

1/3 + 1/6 = 1/2

She needs 1 1/2 yards of material for each setting

1 1/2 = 1.5

She has to divide 36 by 1.5. If there is anything left over, it becomes scrap to be used for her next project.

You can use the following formula

  • # settings = Total material/setting length
  • # settings = 36/1.5 = 24

She can make 24 settings with nothing left over.

6 0
2 years ago
(99 POINTS) Using similarity solve for x. Show all work
ki77a [65]

General Idea:

In any right triangle,

1. The altitude to the hypotenuse is the geometric mean between the segments into which is separates the hypotenuse.

2. Each leg is a geometric mean of the hypotenuse and the segment of the hypotenuse adjacent of the leg.

Applying the concept:

Step 1: We need to label the given diagram and set up a proportion by comparing the similar triangles as provided in attached figure.

Setting up the proportion, we get...

\frac{Shorter \; Leg}{Hypotenuse}=\frac{AB}{AC}=\frac{AD}{AB}\\\\\frac{x}{9+16}=\frac{9}{x}\\Cross \; Multiplying \; we \; get...\\\\x^2=9(9+16)\\x^2=9(25)\\x^2=225\\Take \; square \; root \; on \; both \; sides\\\\\sqrt{x^2}=\sqrt{225}\\x=15

Conclusion:

x=15 \; cm


4 0
3 years ago
Read 2 more answers
The diameter of a circle is 19 find the circumference to the nearest tenth
Bad White [126]

Answer:

Step-by-step explanation:

59.69

6 0
3 years ago
Bianca deposited $1500 into asavings account for whichsimple interest is calculatedquarterly. If her $1500 grew to$1509 after 3
Furkat [3]

Solution:

Given;

P=1500,A=1509,t=3months=0.25year\begin{gathered} A=P(1+\frac{r}{4})^{4t} \\  \\ 1509=1500(1+\frac{r}{4})^{4(0.25)} \\  \\ \frac{1509}{1500}=1+\frac{r}{4} \\  \\ 1.006-1=\frac{r}{4} \\  \\ r=4(0.006) \\  \\ r=0.024 \end{gathered}

Thus, the yearly interest rate on Bianca's account is 2.4%

6 0
1 year ago
The sum of two numbers is -7. Five times the first number plus the second number is 1. What are the numbers?
arlik [135]

Answer:

Step-by-step explanation:

Well you only want the two equations so here they are.

x + y = -7

5*x + y = 1

I should give you the answer.

x = 2

y = -9 I think. These answers were done in my head.

4 0
2 years ago
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