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3 years ago

In APQR, p = 690 cm, a = 290 cm and r=450 cm. Find the measure of ZQ to the

Mathematics

1 answer:

katen-ka-za [31]3 years ago

3 0

9514 1404 393

Answer:

16.8°

Step-by-step explanation:

The Law of Cosines can be rearranged to give the angle measure.

angle Q = arccos((p² +r² -q²)/(2pr))

angle Q = arccos((690² +450² -290²)/(2×690×450))

angle Q = arccos(594500/621000) ≈ 16.7985°

The measure of angle Q is about 16.8°.

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In one day, Ricardo hiked 2_ 2 3 times as far as Bernie and Chloe hiked before they ate lunch. How far did he hike?

umka21 [38]

Complete question :

Bernie and Chloe hiked the Tremont Trail to the end and back. Then they hiked the Wildflower trail to the end before stopping to eat lunch. Before Ricardo ate his lunch, he hiked 2 2/3 times as far as Bernie and Chloe. How far did he hike?

Required diagram is attached below

Answer:

25 miles

Step-by-step explanation:

Tremont Trail = 3 1/2 miles

Wildflower trail = 2 3/8 miles

Distance covered ; Tremont Trail and back : (3 1/2 * 2). = 7/2 * 2 = 14 /2 = 7 miles

Total distance covered by Bernie and Chloe before stopping for lunch /

(7 miles + 2 3/8 Miles) = 9 3/8 miles = 75/8 miles

Ricardo's distance = 2 2/3 * Bernie and Chloe's total distance

Ricardo's distance = 8/3 * 75/8 = 600 /24 = 25 miles

6 0

3 years ago

A student measured the volume of an iron nail to be 0.880 cm3. She found its mass was 6.92grams. What is the density of iron?

Natali [406]

Answs,dv

Step-by-step explanation:

8 0

3 years ago

What is the value of y2 – x2 when y = 6 and x = 5?

Papessa [141]

Answer:

y^2 - x^2 = 11

Step-by-step explanation:

y^2 - x^2 = ?

Substitute.

y = 6

x = 5

Becomes:

6^2 - 5^2 = ?

Solve.

6^2 = 6 x 6

6 x 6 = 36

5^2 = 5 x 5

5 x 5 = 25

36 - 25 = 11

8 0

3 years ago

Explain how to find the mean of a data set.

Elenna [48]

Answer:

to find the mean you must add all of the numbers in a data set together and then divide by how many numbers there are.

3 0

2 years ago

Read 2 more answers

A(c−b)=d solve for c

Rainbow [258]

Answer:

The solution to this equation could not be determined.

Step-by-step explanation:

Simplifying

a(c + -1b) = d

Reorder the terms:

a(-1b + c) = d

(-1b * a + c * a) = d

(-1ab + ac) = d

Solving

-1ab + ac = d

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Combine like terms: d + -1d = 0

-1ab + ac + -1d = 0

The solution to this equation could not be determined.

4 0

3 years ago