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3 years ago

Solve for the missing angle

Mathematics

1 answer:

nata0808 [166]3 years ago

8 0

Answer:

15.9778

≈ 16

Step-by-step explanation:

Formula= a² + b² = c²

7.7² + 14² = 255.29

√255.29 = 15.9778 or ≈16

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A particular shade of paint is made by mixing 5 parts red paint and 7 parts blue paint. To make this shade, Shannon mixed 12 qua

Anika [276]

No, she didn't because 5:7 and 12:8 are not equivalent ratios

5 0

4 years ago

The volume of fuel in a tank changes at a rate given by the equation V'\left(t\right)=\frac{4t}{\sqrt[3]{t^2+3}},\:t\ge0 V ′ ( t

Ksju [112]

$V'(t)=\dfrac{4t}{\sqrt[3]{t^2+3}}$

The volume of fuel in the tank after 9 hours is given by

$\displaystyle\int_0^9V'(t)\,\mathrm dt=\int_0^9\dfrac{4t}{(t^2+3)^{1/3}}\,\mathrm dt$

To compute the integral, substitute $u=t^2+3$ , so that $\mathrm du=2t\,\mathrm dt$ . Then when $t=0$ , $u=0^2+3=3$ ; when $t=9$ , $u=9^2+3=84$ .

$\displaystyle\int_0^9V'(t)\,\mathrm dt=2\int_{t=0}^{t=9}\frac{2t}{(t^2+3)^{1/3}}\,\mathrm dt=2\int_{u=3}^{u=84}u^{-1/3}\,\mathrm du$
$=2\cdot\dfrac32u^{2/3}\bigg|_{u=3}^{u=84}=3(84^{2/3}-3^{2/3})\approx51.3$

So the volume of fuel after 9 hours is about 51.3 gallons.

8 0

4 years ago

This was on my homework 5 X-5 = 5x+7

KengaRu [80]

Answer:

No solution

Step-by-step explanation:

Original Equation:

5x - 5 = 5x + 7

Add 5 to both sides

5x = 5x + 12

So we already know that this equation is not true, making it no solution

Hope this helped

6 0

3 years ago

Please Help!! Asap!!

Brilliant_brown [7]

Answer:

A because it's most likely to be like that at tryouts

4 0

3 years ago

Need answeer ASAP. please

mario62 [17]

Answer:

The answer to your question is below

Step-by-step explanation:

Process

1.- Transform the inequality to a line

2x - y < 4

2x - y = 4

2.- Find the x and y-intercepts

If x = 0, 2(0) - y = 4

0 - y = 4

y = -4 (0, -4)

If y = 0 2x - 0 = 4

2x = 4

x = 2 (2, 0)

3.- Do not consider graphs 1 and 2 because do not go through (0, -4).

4.- The answer is graph three because of the inequality "<", we look for the shaded region below the line.

4 0

3 years ago