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alex41 [277]
3 years ago
15

Look at the formula for the area of a triangle. a = 1 2 bh which is a solution for h?

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
Answer: h = 2a/b


Explanation:

a =  \cfrac{1}{2} bh

2a = bh

bh = 2a

h =  \cfrac{2a}{b}
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Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.
vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

W = \dfrac{1}{2}kx^2

x = 0.39 - 0.30 = 0.09 m

5 = \dfrac{1}{2}k\times 0.09^2

k = \dfrac{5\times 2}{0.09^2}

k = 1234.568 N/m

a) work when spring is stretched from  32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

W = \dfrac{1}{2}k(x_2^2-x_1^2)^2

W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2

W = 0.741 J

b) F = k x

  25 = 1234.568 × x

     x = 0.0205 m

     x = 2.05 cm

3 0
3 years ago
Use complete sentences to describe how to graph -6 on a number line.
Katen [24]

First of all u draw a number line, then u labbel it, then go to zero, n count 6 negative steps, ok in simple terms move backwards thrice

4 0
3 years ago
Read 2 more answers
4.) Pizza Hut has a sale. Two large one topping pizzas for $12.99 + tax (7%).
Ivahew [28]

Answer:

Tax=$0.91

Step-by-step explanation:

Tax=$12.99(.07)=$0.9093

Tax=$0.91

8 0
3 years ago
Read 2 more answers
The formula for the volume of a cone is V = jarh, where V is the volume, r is the radius, and h Is the heightWhat is the volume
olga nikolaevna [1]

Given:

The radius, r=4x

The height,

h=21xy^2

To find the volume of the cone:

The volume of the cone formula is,

V=\frac{1}{3}\pi r^2h

Substitute the values of r and h in the above formula we get,

\begin{gathered} V=\frac{1}{3}\pi\times(4x)^2\times21xy^2 \\ =\frac{1}{3}\pi\times16x^2\times21xy^2 \\ =\pi\times16x^2\times7xy^2 \\ =112\pi x^3y^2 \end{gathered}

Hence, the volume of the cone is

V=112\pi x^3y^2

Thus, the correct option is option D.

7 0
1 year ago
Question is shown below.
Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11}  = 220

\frac{2140 + x}{11}  = 220

2140 + x = 2420

x = 2420 - 2140

x = 280

We convert 280 seconds to minutes.

\frac{280}{60}  = 4 \frac{2}{3}  = 4mins : 40 sec

The correct choice is D

3 0
3 years ago
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