In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=25°, and OP = 5.6 feet. Find the length of PQ to the nearest tenth of a foot.

If you vertically stretch the absolute value parent function, f(x) = |x|, by a factor of 5, which is the equation of the new fun

faltersainse [42]

I believe it is f(x)=5|x|
I suggest you get a second opinion, though

3 0

3 years ago

On average, Haley is able to read 4 5/6 Chapters in the her book each week . How many weeks will it take Haley to read 9 2/3 Cha

Step2247 [10]

Answer:

2 weeks

Step-by-step explanation:

y = mx + b

y = total number of chapters read = $9\frac{2}{3}$

m = number of chapters read per week = $4\frac{5}{6}$

x = number of weeks = what we're solving for

b is not needed to find this solution

$9\frac{2}{3}$ = $4\frac{5}{6}$ x divide $4\frac{5}{6}$ from both sides

x = 2 weeks

6 0

3 years ago

Jessica is measuring two line segments. The first line segment is 30 cm long. The second line segment is 500 mm long. How long a

ElenaW [278]

Answer:

80 cm

Step-by-step explanation:

To find the length of both segments together, convert the lengths into one unit measure. Convert 500 mm into centimeters by dividing it by 10. 500/10 = 50 cm. Now add 30 + 50 = 80 cm. The segment is 80 cm long.

7 0

3 years ago

Read 2 more answers

What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

8 0

3 years ago

Read 2 more answers

Michael read 135 pages in 1 1/2 hours, Select all of the rates that are equivalent to this rate

devlian [24]

The rates that are equivalent to this rate is 90 pages/hr

<h3>Rate of change</h3>

The rate is the number of pages Michael read in 1 hour.

If he read 135 pages in 1 1/2 hours then;

135 pages = 1.5 hours

To determine the rate, we will have:

x = 1 hour

Divide both expressions:

135/x = 1.5/1

1.5x = 135

x = 135/1.5

x = 90

Hence the rates that are equivalent to this rate is 90 pages/hr

Learn more on rate here: brainly.com/question/119866

6 0

2 years ago