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2 years ago

The three angles in a triangle have measures x, 3x, and 5x. Solve for x

Mathematics

1 answer:

sergejj [24]2 years ago

3 0

Three angles of the triangle:

$3x \\ 5x \\ x$

___________________________________________

3x + 5x + x = 180

9x = 180

x = 180/9

x = 20

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Calculate the y-intercept 9x - 6y = -36 ( write as ordered pair )

Lubov Fominskaja [6]

To calculate for the y-intercept, simply solve for an equation where x=0

9(0)-6y=-36
-6y=-36
divide both sides by -6
y=6

The y-intercept is 6

6 0

3 years ago

What has the same value as 3/4

ch4aika [34]

The decimal form, which is equivalent to 3/4, is .75

Other fraction forms of 3/4, would be also 6/8, 9/12, 12/16, 15/20, 18/24, 21/28

8 0

2 years ago

Read 2 more answers

A boat heads south at 120 mph while a steamer heads east at 50 mph. If they started from the same dock and at the same time, whe

Snezhnost [94]

Answer:

1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

√(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

8 0

2 years ago

Read 2 more answers

cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

2 years ago

Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if

aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

$I=P*r*T$