Find the volume of the prism.

A. 578.8 ft
B. 552.9 ft
C. 598.1 ft
D. 591.5 ft

Answer:

r = 9

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Answer:

reflection, translation

Step-by-step explanation:

I can explain it if you want if you reply to this but since you are in a hurry that'll take too long to type right now haha

Answer: 541.32 miles

Step-by-step explanation:

First find the speed of the train in miles per hour.

1 hour 20 minutes needs to be converted to decimal:

= 1 20/60

= 80/60

= 1.33 hours

Speed is:

= Distance / Time

= 120/ 1.33

= 90.22 miles an hour

If the train is traveling 6 hours at the above speed, it will travel:

= Speed * time

= 90.22 * 6

= 541.32 miles

Answer:

The answer is 9.0909

Step-by-step explanation:

n=1  p=.11

mean = 1/0.11 = 9.0909

The mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.

The mean refers to "the average set of values".

According to the question,

The percentage of patients experiencing injection- site reactions with the current needle is 11%.

Mean = [tex]\frac{sum of the all values}{Total number of values}[/tex]

Total number of values = 11% = 0.11 and  n = 1.

Mean = [tex]\frac{1}{0.11}[/tex]

=9.0909.

Hence, the mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.

Learn more about mean here

https://brainly.com/question/13191507

#SPJ2

Answer:

solution given :

centre (h,k)=(3,-2)

another point (a,b)=(4,-6)

now

radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17

We have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x-4)²+(y+6)²=17 is a required equation.

Answer:

the answer is 1/4

Step-by-step explanation:

2/5 × 5/8

2× 5/ 5 × 8

= 10/40

=1/4

Answer:

1/4

Step-by-step explanation:

You would do 2/5 times 5/8 which would equal 10/40 cause 5 times 2 is 10 and then 5 times 8 is 40 and then you would simplify the fraction 10/40 which would make it 1/4

Answer:

C.

(I did the quiz aswell, i scored 100)

Answer:

Conjunction

Step-by-step explanation:

Have a good day :)

Answer:

[tex]Conjuction[/tex] (๑・ω-)～♥”

Answer:

[tex]\sqrt 50[/tex]

Step-by-step explanation:

Answer:

AH = [tex]\sqrt{51}[/tex]

Step-by-step explanation:

The opposite sides of a rectangle are congruent , so

GH = RA = 7

Using Pythagoras' identity in right Δ GHA

AH² + GH² = GA²

AH² + 7² = 10²

AH² + 49 = 100 ( subtract 49 from both sides )

AH² = 51 ( take the square root of both sides )

AH = [tex]\sqrt{51}[/tex] ≈ 7.14 ( to 2 dec. places )

Answer:

√51 (or in LaTeX $sqrt51$)

Step-by-step explanation:

We know that Triangle GRA is a right triangle because Angle GRA is one of the angles of rectangle GRAH, and all interior angles of a rectangle are right.

We also know the lengths of two sides of GRA, so we can use the Pythagorean Theorem to solve for the third side. Specifically, the Pythagorean Theorem tells us that

(GR)^2 + (RA)^2 = (GA)^2.Plugging in RA=7 and GA=10, we get

(GR)^2 + 49 = 100,so (GR)^2=51. We know that GR is positive, so we conclude that $GR=\sqrt{51}$. Finally, since GRAH is a rectangle, its opposite sides have equal length. Thus AH = GR, and so AH = √51, which cannot be simplified.

Answer:

(7, 5)

Step-by-step explanation:

Right = movement on the x axis

X coordinate - 1

+6 units to the right = 7,5

(Keep y axis)

Answer:

(7,5)

Step-by-step explanation:

Answer:

10.5 I think

Step-by-step explanation:

the platform is 42ft so if you divide 42 by 4 you get 10.5

Answer:

1

Step-by-step explanation:

2#&&#&÷&7*÷**#*×*×*÷(×(×¥=111

Answer:

Scalene right

Step-by-step explanation:

It has a right angle, and two 45 degree angles as well as two sides of equal length

Answer:

I believe its scalene obtuse

so sorry if I'm wrong

Answer:

X=-2, y=-7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 distinct real number zeros

Step-by-step explanation:

The discriminant b^2 - 4ac

= (-17)^2 - 4*4*3

= 241

So it has 2 distinct roots.

Answer:

Step-by-step explanation:

Answer:

The correct answer is 2 which is ;

C. 2.

Answer:

C

Step-by-step explanation:

When multiplying scalars and matrices, just distribute the scalar to every component of the matrix. So 4*6=24, -2*6= -12, 6*6 = 36, 7*6 = 42, 3*6 = 18, and 0*6 = 0.

Answer:

4.2

Step-by-step explanation

Delta

The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².

area of the triangle = 1 / 2 tu sin S

where

Therefore,

t = 3.4 cm

u = 6.9 cm

∠S = 21°

Hence,

area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°

area of the triangle = 23.46 sin 21 / 2

area of the triangle = 23.46 × 0.35836794954 / 2

area of the triangle = 8.40731209633 / 2

area of the triangle = 4.20365604817

area of the triangle = 4.2 cm²

learn more on triangle here: https://brainly.com/question/22252675

Answer:

A

Step-by-step explanation:

correct on edge

Answer:

A) [-1,1]

Step-by-step explanation:

The function of y=cos⁻¹(x) has a domain of [-1,1] and a range of [0,π]. Observe the graph.

Answer: 80

Step-by-step explanation:

Let the number of students be represented by x

Let the number of faculty be represented by y.

Based on the information in the question, we can form an equation which will be:

x + y = 100 ..... i

10x + 25y = 1300 ....... ii

From equation i,

Make y the subject of the formula

y = 100 - x ...... iii

Put the value of equation iii into ii

10x + 25y = 1300

10x + 25(100 - x) = 1300

10x + 2500 - 25x = 1300

10x - 25x = 1300 - 2500

-15x = -1200

x = 1200/15

x = 80

There were 80 students who attended the museum opening

Answer:

3 1/8 divided by 3/4 = 4 1/6. basically 5 containers.

Answer:

5,4 and 4,4

Step-by-step explanation:

here: :)

I did the work, and basically i solved for the area of the faces and then multiplied that by two to get the total surface area of the faces. Then I added in the areas of the sides connecting the two faces:

just as a referral: the formulas to find the faces are as follows:

rectangle: length times width

circle: pi x r^2

trapezoid: h(base1 + base2)

and triangle: (b x h)/2

Answer:

16

Step-by-step explanation:

(b/2)^2

(8/2)^2 = (4)^2 = 16

(x^2+8x+16) = -3+16

(x+4)^2 = 13

so on so forth, but basically you add 16 which completes the square

Answer:

[tex]\sqrt[3]{x-8}[/tex]

Step-by-step explanation:

y-8 = x^3

// -8 on both sides

[tex]\sqrt[3]{y-8}[/tex] = x

// cube root both sides

// then just switch x and y

Answer:

Step-by-step explanation:

[tex]f^{-1}(x)=\sqrt[3]{x-8}}[/tex]