MATHEMATICS MIDDLE SCHOOL

In triangle PQR, PR = 23mm, QR = 39mm, and m<R = 163 degrees. Find the area of the triangle to the nearest tenth.

Answers

Answer 1

Answer:

Answer: 131.1287 square mm (approx)

Step-by-step explanation:

The area of a triangle,

$A=(1)/(2) * s_1* s_2* sin \theta$

Where $s_1$ and $s_2$ are adjacent sides and $\theta$ is the include angle of these sides,

Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

$s_1 = PR= 23\text{ mm}$ , $s_2=QR=39\text{ mm}$ and $\theta = 163^(\circ)$ ,

Thus, the area of the triangle PQR,

$A=(1)/(2) * 23* 39* sin163^(\circ)$

$A=(262.257419136)/(2) = 131.128709568\approx 131.1287\text{ square mm}$

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Answers

Answer:

A. 3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x.

Step-by-step explanation:

12x − 8x + 3 is equal to 3 + 4x.

it is 3+4x because (12x+3)+3=4X+3=3+4x

jimmy and his family are on their way to visit some family friends who live 780 miles away from them.based on the route they chose they expect to complete their trip in three days. the distances and average speeds for the first two days driven are shown below. first day 4 hours at an averge speed of 60 miles per hour second day 6 hours at average speed of 65 miles per hour if the average speed on the third day is 60 miles pe hour how many more hours willit tak foe them to reach their family friends home

Answers

If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.

4 hours at 60 miles per hour = 4*60 = 240 miles

6 hours at 65 miles per hour = 6*65 = 390 miles

This is a total of 630 miles. There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.

A clock tower has a circular clock face with an area of 144pi square feet. What is the diameter of the clock face? Teacher wants to see method using square root and showing step by step work. Please help.

Answers

Answer:

d = 24

Step-by-step explanation:

The area of a circle is given by A = π * r²

We are told the area of the clock is 144π.

Let's clear the formula for the radius:

r² = A / π

r² = 144π / π

r² = 144

r = √144

r = 12

The diameter is two times the radius, d = 2r = 2*12 = 24.

Final answer:

To find the diameter of the clock face, we can use the formula A = πr² and solve for r using the given area. The diameter can then be found by multiplying the radius by 2.

Explanation:

To find the diameter of the clock face, we need to find the radius of the clock first. The area of a circle is given by the formula A = πr², where A is the area and r is the radius. Given that the area of the clock face is 144π square feet, we can set up the equation as follows:

144π = πr²

To solve for r, we divide both sides of the equation by π:

144 = r²

Taking the square root of both sides, we find:

r = √144 = 12

Since the diameter is twice the radius, the diameter of the clock face is 2 times 12, which is 24 feet.

Learn more about Finding the diameter of a circular clock face here:

brainly.com/question/30062137

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In 2010, Dario Franchitti won the indy 500 with a race speed of over 160 miles per hour. The race is 500 miles long. What is the length of the race in yards? In feet?

Answers

(500 miles) x (1,760 yards/mile) = 880,000 yards

(500 miles) x (5,280 feet/mile) = 2,640,000 feet

(500 miles) x (1.609 km/mile) = 804.67 km (rounded)

500 miles =880,000 yards and feet =2,640,000

Sam has 9 yellow pencils in his desk. Three fourths of his pencils are yellow How many pencils does Sam have in his desk

Answers

Sam has 12 pencils in total.

Sam has exactly 12 pencils in his desk.

Demonstration:

2/3 of 9 is 3. add 3 to 9, you get 12.

Determine the ordered pair that satisfies the equation, 2x - 8y = -9.

Answers

you need another equation, other wise x can be anything, and y can be infinitely different solutions.

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