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3 years ago

What is the value of x? Enter your answer in the box. x = ___

Mathematics

1 answer:

lapo4ka [179]3 years ago

5 0

Answer:

x=8

Explanation:

The picture tells us that the triangle is equilateral (this means that each angle is 60°). We can assume this because each side has been marked with the same line.

Because each angle is equal to 60°, this means that:

7x+4=60

Now solve for x:

7x=56
x=8

You might be interested in

Evaluate the formula V = Bh3 V equals the quantity B multiplied by h end of quantity divided by 3 for B = 4 cm2 and h = 6 cm.

Marat540 [252]

Answer:

V = 8 cm³

Step-by-step explanation:

This is basically the formula for volume of pyramid:

Volume of Pyramid = 1/3 × Base Area x Height

Volume of Pyramid = (Base Area x Height)/3

V = Bh/3

Given:

B = 4 cm²

h = 6 cm

V = Bh/3

= (4 x 6) / 3

= 24 / 3

V = 8

Hence

V = 8 cm³

If you want to represent this into inches simply divide 8 with 2.54 as

1 cm = 2.54 inches So,

8 cm / 2.54 cm = 3.15 in

8 0

3 years ago

Yesterday, Jack drove 43.5 miles. He used 11 gallons of gasoline. What is the unit rate for miles per gallon?

Alexxx [7]

Answer:

the unit rate for miles per gallons = $3.95 miles$

Step-by-step explanation:

Let x be the unit rate for miles per gallon.

Given:

Jack drove 43.5 miles. He used 11 gallons of gasoline.

Find the unit rate for miles per gallon?

Jack used 11 gallons of gasoline for 43.5 miles.

11 gallons = 43.5 miles

The unit rate for miles per gallon is

unit rate of gallons = total miles divided by total used gallons of gasoline

$x=\frac{43.5}{11}$

$x=3.95miles$

Therefore, the unit rate for miles per gallons is 3.95 miles.

4 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

There are 8 brooms and 6 mops in a janitor's closet. What is the ratio of the number of mops to the total number of brooms and m

shepuryov [24]

B 3:7

If there are 6 mops, and 14 mops and brooms, you get 6:14, which simplifies to 3:7.

3 0

3 years ago

Read 2 more answers

Find x, y, and z x = 39 x = 29 y = 61 y = 29 z = 61 z = 29

nikdorinn [45]

answer:

x = 29

y = 29

z = 61

step-by-step explanation:

all angles in a triangle must equal 180 degrees.

we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.

the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.

so to figure out y,

we must add 61+90 and then subtract the sum of that from 180.

so, 61+90 = 150 and 180-151 = 29

therefore,

we can conclude that y = 29

now, to determine the degrees of x and z we do the same thing.

we already know one angle equals 90 degrees.

180-90 = 90

that concludes that x and z must have a sum of 90.

if we use our choices,

39+61 = 100 (no)

39+29 = 68 (no)

29+61 = 90 (CORRECT)

29+29 = 28 (no)

therefore, x = 29 and z = 61

so, in total :

x = 29

y = 29

z = 61

hope this helps :)

-audrey <3

5 0

3 years ago