1. the height of a right triangular prism is inches. each side of the triangular base measures 10 inches, and the height of the base is inches. the triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube. what is the surface area of the solid formed?

Answer: 224

Step-by-step explanation:

on the white boards

Answer:

i did it

Step-by-step explanation:

Answer: 64x + 30

Step-by-step explanation:

         Since this is an expression, we will simplify. Let � be x.

    Given:

32 + 4 * (16 * x) -2

    Simplify:

32 + 4(16x) -2

    Distribute / multiply:

32 + 64x - 2

    Combine like terms

64x + 30

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Answer:

X= -27

Step-by-step explanation:

X+12= -15

X= -15 -12

X= -27

Answer:

Thus, the total food can be eaten by the cat in 4 weeks.Total weight of a bag of cat food = 3 lbs.The number of lbs the cat eats the food = 3/4 lbs each week.We need to find the number of weeks does one bag that is 3 lbs last.Now, the total food we have is 3 and cats eat 1/4th of total food each week.Thus, the total food can be eaten by the cat in 4 weeks.To know more about it, please refer to the link:brainly.com/question/12457996

Step-by-step explanation:

Answer:

5/4 pounds

Step-by-step explanation:

Using unitary method:

4 days-------5 pounds

1 day---------5/4 pounds

Answer:

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

Step-by-step explanation:

End points of the diameter of the circle are:

[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]

[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]

Equation of circle in diameter form is given as:

[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]

Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:

[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]

[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]

[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

This is the required equation of circle in standard form.

Answer:

12.75

Step-by-step explanation:

12.75

Answer:

24 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let me see if I understand what you mean. Do you mean can you have 153 dollars in your pocket when all you have is 5 dollar bills?

If that is what you mean, then no that isn't possible. You can get 150 dollars or you can get 155 dollars, but you can't get 153.

In order to do the problem, using only 5 dollar bills, the number you choose must end in 0 or 5. If it ends in anything else, the task is impossible.

Answer:

x=85/5

x= 17

y=95/5

y=19

Step-by-step explanation:

vertically opp angles are equal

Answer:

vertical angles here make an X

1. 5y and 95 are vertical

2. 5x and 85 are vertical

3. x = 17

4. y = 19

.

Step-by-step explanation:

angles MPL and NPO are equal

5x = 85

x = 17

angles MPN and LPO are equal

5y = 95

y = 19

The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes

The number of bushes needed = perimeter of the backyard / 3 feet

The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.

Length of the third side : √30² - 12² = 27.50 feet

Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet

The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes

To learn more about triangles, please check: https://brainly.com/question/22949981

The ABC and XYZ statements are trigonometric statements

A. sin^2 ⁡θ

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

B. sin⁡(-θ)

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

C. tan⁡θ

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

Read more about trigonometry ratios at:

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Answer:

B. 2106 pi mm³

Step-by-step explanation:

the solution is attached,

Answer:

B.2106π mm^3

Step-by-step explanation:

here is the volume of a drill

[tex]\pi \: {r}^{2} h \: + \frac{1}{3} \pi \: {r}^{2} h[/tex]

[tex]\pi \times 81 \times 18 + \frac{1}{3} \times \pi \times 81 \times 24[/tex]

[tex] > > > 2106 \pi \: {mm}^{3} [/tex]

Answer:

0

Step-by-step explanation:

since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number

for example

2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder

Answer:

1- 34,000 Millimeters in 34 meters

2- 50 Millimeters in 5 Cm

3- 6mm is already in milimeter form

Step-by-step explanation:

1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters

10 millimeters are in 1 CM, so 50 millimeters make up 5 cm

Answer:

34m=34x10³mm=34000mm

5cm=5x10mm=50mm

6mm=6mm

Answer:

X/4 = 2

X=8

8 divided by 4 is 2 and 4x2 is 8

Answer:

Pencil is $15 and erasers are $5

Answer:

[tex]a_{16}=26.5[/tex]

Step-by-step explanation:

Arithmetic series:  [tex]a_n=a+(n-1)d[/tex]

Sum of arithmetic series:  [tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

(where a is the first term and d is the common difference)

Given:

[tex]\implies a_{25}=44.5[/tex]

[tex]\implies a+(25-1)d=44.5[/tex]

[tex]\implies a+24d=44.5[/tex]

[tex]\implies S_{30}=765[/tex]

[tex]\implies \dfrac{30}{2}[2a+(30-1)d]=765[/tex]

[tex]\implies 30a+435d=765[/tex]

Rewrite [tex]a+24d=44.5[/tex] to make a the subject:

[tex]\implies a=44.5-24d[/tex]

Substitute found expression for a into [tex]30a+435d=765[/tex] and solve for d:

[tex]\implies 30(44.5-24d)+435d=765[/tex]

[tex]\implies 1335-285d=765[/tex]

[tex]\implies 285d=570[/tex]

[tex]\implies d=2[/tex]

Substitute found value of d into [tex]a=44.5-24d[/tex] and solve for a:

[tex]\implies a=44.5-24(2)=-3.5[/tex]

Therefore:

[tex]\implies a_{16}=-3.5+(16-1)2=26.5[/tex]

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

=========================================================

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

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

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

Answer:

1.28 in³

Step-by-step explanation:

Volume of Amy's cone

Volume of Don's bowl

Difference

Answer:

So obviously in the context of this question you are meant to find the volume. Since Don's bowl already has a given value of 5 cubic inches we will use that same unit when calculating amy's ice cream cone volume.

Step-by-step explanation:

You are given that amy has a cone and need to find the volume. The formula for the volume of a cone is (V=πr^2*h/3).

π = pi or 3.14......

r = radius (in this case the opening/ diameter of the ice cream cone is given as 2 inches and the radius is half of diameter so d/2 = r (r=1)

h = height (in this case it is given that height is 6 inches)

Remember all variable units must be kept the same so in this case all units are inches.

Now Plug in and solve V = [tex]3.14*(1)^{2} *\frac{(6)}{3}[/tex]

Remember order of operations / PEMDAS (in this case, do exponent first then just multiply from left to right and at the end divide that number by 3.

V= 6.28 cubic inches (since all our units were inches and we are finding cubic volume of a cone)

Now Amy volume of cone - Don volume of bowl = your answer. 6.28-5 = 1.28 cubic inches

Step-by-step explanation:

the volume is 4/3 × pi × r^3

4/3 × 3 × 4^3

the volume is 256 cm cubed.

the radius is 4 cm.

Answer:

Step-by-step explanation:

question doesnt make sense

Answer:

18

Step-by-step explanation:

Given expression:

[tex]2 \times (6 \div 2 + 8) - 4[/tex]

Step-1: Simplify the expression in the parenthesis using PEMDAS

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]                                  

 [tex]\implies 2 \times (3 + 8) - 4[/tex]                                  D - Division

 [tex]\implies 2 \times (11) - 4[/tex]                                      A - Addition

 [tex]\implies2 \times 11 - 4[/tex]

Step-2: Simplify the expression obtained from step-1

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times 11 - 4[/tex]

 [tex]\implies 22 - 4[/tex]                                          M - Multiplication

 [tex]\implies 18[/tex]                                                  S - Subtraction

area square= side²

= (x-6)²

= x²-12x+36

Answer:

36

Formula:
Side² = Area
Step-by-Step Explanation
-6 x -6 = 36

Answer:

4x - 5y = 25

Step-by-step explanation:

The total earning of the month be $4325 .

We have given that the Max has a monthly salary of $1,100 and also

earns 7.5% commission on his sales.

When Max had $43,000 in sales last month .

He earns  7.5% is commission

We have convert it into  the decimal form.

[tex]\frac{7.5}{100}=0.075[/tex]

Commission Max earns = 0.075 × Total sales of the last month

Commission Max earns= 0.075 × 43000

Commission Max earns  = $ 3225

Total earning of a month = Monthly salary + Commission earning

Total earning of a month  = $1100 + $3225

Total earning of a month  = $ 4325

Therefore the total earning of the month be $4325 .

The Option (c) is correct.

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]