Please help me with my question!!!

Answer:

1). Surface area of the prism = 112 cm²

2). Area of the sphere = 615.8 cm²

Step-by-step explanation:

1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides

Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                          = [tex]\frac{1}{2}(3)(7)[/tex]

                                          = 10.5 cm²

Area of a rectangle = Length × width

Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)

                                                            = 15 + 40 + 35

                                                            = 90 cm²

Surface area of the prism = (2 × 10.5) + 90

                                           = 21 + 90

                                           = 112 cm²

2). Surface area of the sphere = 4πr²

                                                  = 4π(7)²

                                                  = 615.75

                                                  ≈ 615.8 cm²  

Answer:

6 cream puff and 4 ice creams

Step-by-step explanation:

i = ice cream

p = cream puff

p+i= 10

1.50p + 1.20 i = 13.80

Multiply the first equation by -1.2

-1.20p -1.20 i = -12.00

Add this to the second equation

1.50p + 1.20 i = 13.80

-1.20p -1.20 i = -12.00

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

.3p = 1.80

Divide each side by .3

p =6

Now find i

p+i = 10

6+i= 10

i= 10-6 =4

Answer.if breadth is 1 then length is 38 cm

v= l×b×h

342=l×1×9

342=9l

l=342/9

l=38

____________________________

Breadth=1 cm

Height=9cm

Volume=342cm^3

Length=?

Now,

Volume=l*b*h

or,342=l*1*9

or,342=9l

or,l=342/9

length=38 cm

So the length is 38 cm

Hope it helps

Good luck on your assignment.

_______________________________

Answer:

19

Step-by-step explanation:

We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.

Answer:

19

Step-by-step explanation:

(19^1/9)^9

19^(1/9*9)

19^1

19

Answer:

  (-2, 2)

Step-by-step explanation:

Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).

Answer:

(-2,2)

Step-by-step explanation:

Answer:

I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The number of guests is the independent variable and should be between 1 and 50.  We can use a scale of 10's

The cost is the dependent variable and the minimum cost is 100 and should rise from there

The scale would be from 100 's

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

[tex]\frac{80}{100} =.8[/tex]

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!

Answer:

SSS

Step-by-step explanation:

Given that the sides are equal and no angles are given

Answer:

A: SSS

Step-by-step explanation:

We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.

Answer:

34.5% probability that the jury returns a guilty verdict

Step-by-step explanation:

We have these following probabilities:

If the police can discredit the police department, 15% probability of a guilty verdict.

70% probability of the police department being discredited by the defense.

If the police can discredit the police department, 80% probability of a guilty verdict.

100 - 70 = 30% probability of the defense not discrediting the police.

What is the probability that the jury returns a guilty verdict?

15% of 70% and 80% of 30%. So

p = 0.15*0.7 + 0.8*0.3 = 0.345

34.5% probability that the jury returns a guilty verdict

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

Answer:

Step-by-step explanation:

Let the number be x

Take away 1: x -1

Then multiply the result by 3:  (x- 1) * 3 = (x-1)3 or 3x - 3

Answer:

Step-by-step explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]

r = 3.15 ft

Answer:

631 feet

Step-by-step explanation:

125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.

Answer:

(m-7[tex])^{2}[/tex]

Step-by-step explanation:

Answer:

C) 3x

Step-by-step explanation:

There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.

Answer:

The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

Answer:

It's B.

Step-by-step explanation:

I took the test.

<AED

Explanation:

B is the mid point of AD.( since AB=BD)

C is the mid point of AB( since AC=BC)

Therefore BC is parallel to DE.

Angle ACB= Angle AEB

Corresponding angles are equal.

And hence, they are congruent.

Hope it helps

Good luck on your assignment

The angle congruent to ∠ACB is B. ∠AED.

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

Congruent Angles have the same angle (in degrees or radians).

Now from the given figure,

In triangle  ABC and triangle AED

AC = CB

BC is parallel to DE

Thus, by law of congruent angles, interior angles are equal,

Thus, ∠ACB = ∠AED

this is the required congruent angle of ∠ACB.

Thus, the angle congruent to ∠ACB is B. ∠AED.

To learn more about congruent angles:

https://brainly.com/question/24887947

#SPJ2

Answer:

the answer is

Step-by-step explanation:

if we take a and b as two pupil to share the money,then a gets

$15 and b gets $75

sum of the ratio is=6

a =1/6×$90

=$15

b=5/6×$90

=$75

Answer:

Step-by-step explanation:

[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]

Answer: 7x-90/x-13

Step-by-step explanation:

f(x)= x+7

g(x)=1/x-13

(f•g)(x)=1/x+13+7

1+7(x-13)/x-13

1+7x-91/x-13

7x-90/x-13

Answer:

(-∞, 0)∪(0, ∞)

Step-by-step explanation:

You are given the functions f(x) and g(x).  Now, you have to find (f*g)(x).  To do this, you have to multiply the two functions.

f(x) = x + 7

g(x) = 1/x - 13

(f*g)(x) = (x + 7)(1/x - 13)

(f*g)(x) = -13x + 7/x + 1 - 91

(f*g)(x) = -13x + 7/x - 90

The domain has to include all of the x-values that will produce a rational number.  So, look at where the x's are locate

-13x:  You could put any rational number into this value and still have a rational number.

7/x:  For this value, you cannot have 0 as an x-value.  Every other number is fine.

This means that the domain will be (-∞, 0)∪(0, ∞).  

You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero.  There are no brackets on the infinity side because infinity isn't a number.  The ∪ symbol is used to combine domains.

Answer:

19/ 143

Step-by-step explanation:

There are 19 rock songs out of 143 total

P(rock) = number of rock songs/ total

            = 19/ 143

Answer:

Step-by-step explanation:

Answer:

x=1 y=-4

Step-by-step explanation:

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 1 → (1)

y = - x - 3 → (2)

Since both are expressed in terms of y, equate the right sides, that is

- x - 3 = - 5x + 1 ( add 5x to both sides )

4x - 3 = 1 ( add 3 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 1 - 3 = - 4

Solution is (1, - 4 )

Answer:

Your answer is B.

Have a great day!

Step-by-step explanation:

I'm so sorry that I do not have an explanation for you. I truly am.

Answer:

B

Step-by-step explanation:

Answer:

rotation then translation

Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.

It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.

Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.

Learn more about triangles on:

https://brainly.com/question/2644832

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

Answer:

2.1

Step-by-step explanation:

using cosine theorem or substraction of two vector

b = AC = 5

c = AB = 6

a² = b² + c² - 2bc cos A

a² = 5² + 6² - 2*5*6 cos 20°

a² = 4.62

a = √4.62

a = 2.149

a ≈ 2.1

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f + g)(x) = (5x - 2) + (2x + 1)

Combine like terms.

(f + g)(x) = 7x - 1

So, (f + g)(x) equals 7x - 1

Answer:

x =40

Step-by-step explanation:

x and 4x-20 form a straight line which means they add to 180

x+4x-20 = 180

Combine like terms

5x -20 =180

Add 20 to each side

5x = 200

Divide by 5

5x/5 = 200/5

x =40

Answer:

it just looks confusing sry

Step-by-step explanation:

but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck