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3 years ago

FIND ST OF THIS CIRCLE.

Mathematics

1 answer:

ziro4ka [17]3 years ago

4 0

$\bigtriangleup RSP \cong\bigtriangleup RQT\Rightarrow \frac{RS}{RQ}=\frac{RP}{RT}\Leftrightarrow RS=3 \\ \Rightarrow ST=RT-RS=5$

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the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne

Sladkaya [172]

Answer:

a. 2116 miles

b. 105.8 gallons

c. $305.76

d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

round-trip distance = 2 × one-way distance

round-trip distance = 2 × 1058 miles = 2116 miles

The gas used will be the distance divided by miles per gallon.

gas used = round-trip distance / miles-per-gallon

gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

The cost of gas will be the product of cost per gallon and number of gallons.

cost of gas = cost-per-gallon × gallons

cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

(cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

cost-per-gallon = (cost of gas)/105.8

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2 years ago

A line passes through the point (-4,1) and has a slope of 3/2

anzhelika [568]

Answer:

y=3/2x+7

Step-by-step explanation:

y=mx+b

m=3/2

b=7

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3 years ago

How much is a gallon of milk in kg

AleksandrR [38]

Answer:

Weight per gallon of milk comes about 8.4 pounds for the milk that has 2% of fat and comes approximately to 8.6 pounds of whole milk.

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3 years ago

The corners of a square lie on a circle of diameter d = 0.35 m. each side of the square has a length l. find l.

sergeinik [125]

Refer to the attached image.

As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.

The diameter AC = 0.35 meter.

We have to find the side of square.

Let the measure of side of a square be 'l' meter

In triangle ABC,

By Pythagoras theorem, we get

$(AC)^2 = (AB)^2 + (BC)^2$

$(0.35)^2 = (l)^2 + (l)^2$

$(0.35)^2 = 2(l)^2$

$\frac{(0.35)^2}{2} = (l)^2$

$l^2 = 0.06125$

So, l = 0.25 meter

Therefore, the measure of side of the square is 0.25 meter.

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3 years ago

A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make

beks73 [17]

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ 
x= \frac{155}{sin(27)} \\ \\ 
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Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.

5 0

3 years ago