What is the perimeter of triangle PQR?

Answer:

D is the correct answer

Step-by-step explanation:

V=πr2h

3=π·52·12

3≈314.15927

Thank me later

Hope this helps!!!

Answer:

Step-by-step explanation:

The given lines are

[tex]2x-4y=8[/tex]

[tex]4x+2y=8[/tex]

Let's rewrite each equation in the form [tex]y=mx+b[/tex]

[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]

[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]

Now, let's use the perpendicular rule

[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]

As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.

Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

Step-by-step explanation:

I took the test and the dot is 1/2

Answer:

[tex] \dfrac{53}{8} [/tex]

Step-by-step explanation:

[tex] \dfrac{5}{8} = \dfrac{x - 1}{9} [/tex]

Cross multiply.

[tex]8(x - 1) = 9 \times 5[/tex]

[tex] 8x - 8 = 45 [/tex]

[tex] 8x = 53 [/tex]

[tex] x = \dfrac{53}{8} [/tex]

Answer: x = 53/8

Step-by-step explanation:

5/8 = x-1 / 9

45 = 8(x-1)

45 = 8x - 8

-8x = -8 - 45

x = 53/8

Answer:

The lenght is 8 cm

Step-by-step explanation:

Answer:

8 cm.

Step-by-step explanation:

The area of the square base = volume / height

= 960/15

= 64 cm^2.

So the length of each side of the square base = √64

= 8 cm.

Answer:

1/2 and 50%

Step-by-step explanation:

5/10 is equal to 1/2 and 50%

Oml fellow FLVS student here, it would be C.:)

Explanation: I got it right lol

In the given graph, interval C could be described as linear decreasing.

"An  interval is a set of real numbers that contains all real numbers lying between any two numbers of the set."

In the given graph,

A is the interval(0, 2) where the graph is linear increasing.

B is the interval(2, 4) where the graph is constant.

C is the interval(4, 5) where the graph is linear decreasing.

D is the interval(5, 8) where the graph is linear increasing.

Therefore, the required interval is C.

Learn more about an interval here: https://brainly.com/question/1643786

#SPJ2

Answer:

x=15(1/3√y)

Step-by-step explanation:

X varies indirectly with the cube root of y

x=k/3√y

x=3 when y=125

3=k/3√125

3=k/5

3=k(1/5)

k=3÷1/5

k=3×5/1

k=15

x=15(1/3√y)

Answer:

f(x) = 4x, g(x) = [tex]\frac{1}{4}x[/tex]

Step-by-step explanation:

Inverse function is when you switch the x and the y and solve for x

f(x) = 4x

y = 4x

x = 4y

Now solve for x

y = [tex]\frac{1}{4}x[/tex]

g(x) = [tex]\frac{1}{4}x[/tex]

If you try that with the other functions, none of them work.

Answer:

C. f(x)= 4x, g(x)= 1/4x

Step-by-step explanation:

inverse functions are flipping x and y corrdinates so let's plug in x=1 into f(x) and get y = 4

now plug in x = 4 into g(x) and check if the answer is 1 - yes ,it is!

Answer:

what is the math?

Step-by-step explanation:

Answer:

The bottom left one

Step-by-step explanation:

it has a positive slope

Answer:

I’m pretty sure it’s the bottom left corner one

Step-by-step explanation:

The line increases from left to right, so it has a positive slope

Answer: I cant tell which one is a or b or c or d but ill say its b

Answer:

Step-by-step explanation:

As two angles of the triangle are 60° and 55°, the measure of ∠A is:

So the angles C and B measure 60° and 55°.

∠C is opposite to 60°, so is 60° as well, therefore m∠B = 55°

Statements:

mAngleB + mAngleC + 55° = 180°

mAngleA + 60° + 55° = 180°

mAngleC = 55°

mAngleA = 55°

Answer: its b

Step-by-step explanation: on edge.

Answer:

Step-by-step explanation:

You'll need to use parentheses here to remove ambiguity regarding what's in your denominators:

          x - 8                   x - 8

y = ------------------  =  -----------------

      x^2 + 6x - 7        (x + 7)(x - 1)

This last result becomes undefined at x = -7 and x = 1, and thus its graph is discontinuous at those x- values.

The points of discontinuity is x = -7, x = 1

Use parentheses to remove ambiguity considering the denominators

[tex]y=x-8/x^{2} +6x-7[/tex]

= x-8 ÷ (x+7)(x-1)

The result becomes undefined at x = -7

and x = 1,  

thus its graph is discontinuous at those x values.

Therefore the points of discontinuity is x =-7 and x = 1.

Learn more about discontinuity points, refer:

#SPJ2

Answer: A is correct

Step-by-step explanation:

They’re the only lines perfectly parallel, I got this correct

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

13-15 year olds:

Range: 13

Mean: 27.4

16-18 year olds:

Range:24

Mean: 28.05

Therefore,

1) the range is greater for set two

2) the mean is greater for set two as well

Answer:

1. B

2. C

Step-by-step explanation:

Answer:

1.182 meters.

Step-by-step explanation:

We have that the initial height is 3 meters, we know that after each rebound it recovers 83% of the original height, therefore:

First bounce:

3 * 0.83 = 2.49

Second bounce:

2.49 * 0.83 = 2.0667

We can deduce a formula here:

hn = 3 * (0.83) ^ n

where is the bounce number, we know that the bounce number that we want to find the height is 5, therefore:

h5 = 3 * (0.83) ^ 5

h5 = 1.182

which means that at the fifth bounce, the height is 1.182 meters.

Answer:

Step-by-step explanation:

That one is a hard one, I dunno tho

Answer:

Yes, the equation selected is correct :)

Explanation:

This might look kinda complicated, but the black line is your answer & the green points are from the table. The black line is the closest to all the points and has a slope that keeps it with the trend of the table.

Answer:

See below;

Step-by-step explanation:

Consider the steps below;

[tex]1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair ) m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\[/tex]

[tex]\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7. By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees[/tex]

Thus, we derive such a solution;

m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145°

Answer:

a) modal number of teachers in a car is 3

b) median number of teachers in a car is 3

c) mean number of teachers in a car is 2.5

Step-by-step explanation:

Answer:

a:  1.8          b: 11.8       c: 23.6

Step-by-step explanation:

Answer:

m arc AJ = 78°

Step-by-step explanation:

If angle A is 101° that means arc LKJ is 202° (the measure of an arc that an inscribed angle intercepts is twice the angle measure).  If arc LKJ is 202° and arc LK is 122°, then arc KJ is 80° (m arc LK + m arc KJ = m arc LKJ).

If angle L is 79°, then the m arc AJK = 158° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If m arc AJK = 158° and m arc KJ is 80°, then the m arc AJ is 158 - 80 = 78º

edit: i think im right but im not completely sure

edit#2: i checked my answer portal after turning it in and yeah im right

Answer:

1. 5 times

2. 60 times

Step-by-step explanation:

there is only one a so its 1/4 times 20 and 4 because that is the total

20/4= 5

there is 3 because there is letters that are not a

3/4 times 80

240/4

1. The number of times expected that should be landed on A should be 5 times.

2. The number of times expected should be 60 times.

1. Since A spinner has four equal sections, with one letter from the word "MATH" in each section.

So, here the number of times should be

= [tex]20\div 4[/tex]

= 5

2. The number of times should be

[tex]= 3/4 \times 80\\\\= 240\div 4[/tex]

= 60

Learn more about spinner here: https://brainly.com/question/9222927

Answer:

(2a + 1)

----------------

(2 - a^2)

Step-by-step explanation:

(2 + 1/a)

----------------

(2/a - a)

Multiply by a/a

(2 + 1/a)  *a

----------------

(2/a - a) *a

(2a + 1)

----------------

(2 - a^2)

Answer:

70 feet

Step-by-step explanation:

This problem can be answered by using proportions based on similar triangles.

Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)

The same runs for the tree and its shadow.

Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.

We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)

[tex]\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft[/tex]

Answer:

42

Step-by-step explanation:

6÷(1/7) equals forty two.

Solution,

6/1/7

=6*7/1

=42

Hope it helps

Good luck on your assignment

Answer:

I THINK its D and E because C can simplify to 2/3 and 1/2 making C wrong.

Step-by-step explanation:

Answer:

B  C  

Step-by-step explanation:

Find the common denominators

For example: 1/3 [tex]\leq[/tex]4/12

It is 12

3 goes into 12 4 times

so now its

?/12[tex]\leq[/tex]4/12

4*1 is 4 so its

4/12[tex]\leq[/tex]4/12

Answer:

92.4 m^2

Step-by-step explanation:

Area of Trapezoid: h(b1+b2)/2

6.6 (14.2 + 7.6 + 6.2) / 2

= 6.6 (28) / 2

= 184.8/2

= 92.4 m^2

Answer:

x = 8

Step-by-step explanation:

5x - 10 + 7 = 37

5x - 3 = 37

5x = 40

x = 8