What is the lateral surface of the prism shown here

If you know the answer pls help I’ll give brainliest

Answer:

Part A

The two figures, ΔABC and ΔPQR are congruent by the SSS rule of congruency

Part B

The rigid motion that maps ΔABC to ΔPQR are a 180° clockwise rotation about the origin, followed by a horizontal shift of 1 unit to the right

Step-by-step explanation:

Part A

The given coordinates of the vertices of triangle ABC are;

A(-8, -2), B(-3, -6), C(-2, -2)

The length of side AB = √((-6 - (-2))² + (-3 - (-8))²) = √41

The length of side AC = √((-2 - (-2))² + (-2 - (-8))²) = 6

The length of side BC = √((-6 - (-2))² + (-3 - (-2))²) = √17

The given coordinates of the vertices of triangle PQR are;

P(9, 2), Q(4, 6), R(3, 2)

The length of side PQ = √((6 - 2)² + (4 - 9)²) = √41

The length of side PR = √((2 - 2)² + (3 - 9)²) = 6

The length of side RQ = √((6 - 2)² + (4 - 3)²) = √17

Given that the length of the three sides of triangle ABC are equal to the lengths of the three sides of triangle PQR, we have;

ΔABC ≅ ΔPQR by Side Side Side rule of congruency

Part B

Whereby AB and PQ, and BC and RQ are pair of corresponding sides, the rigid motion that maps ΔABC to ΔPQR are;

1) A 180° clockwise (or counterclockwise) rotation about the origin followed by

2) A shift of 1 unit to the right.

Answer: 7 1/2 cubic yards

Step-by-step explanation: sorry if this is wrong lol

Answer:

m<ADC= 117

Step-by-step explanation:

Answer:

Open points on 1 and 3 with ray connecting them

Step-by-step explanation:

Because it's right.

Answer:

Step-by-step explanation:

Answer. it is 5 or letter i

Answer:

The value of x is 5

Step-by-step explanation:

Using the linear pair theorem, both angles are supplementary and add up to 180 degrees. 180 minus 140 is 40. and 8 times 5 = 40. So x = 5.

Answer:

Not similar

Step-by-step explanation:

Answer:

10.10 15.15

Step-by-step explanation:

25.30 15.12 25.13

Answer:

(5,6)

Step-by-step explanation:

I'm guessing you mean the coordinates for the point where the lines intersect

Answer:

I believe it is b: (5,6)

Explanation:

The point (5,6) is the only point on the graph that both lines go through.

Answer:

yes cs its a orange juice

Step-by-step explanation:

Answer:

taking back the answer spot that is rightfully mine!

Step-by-step explanation:

Answer:

Least Likely: Arrow lands on a section labeled with an odd number.

_____: Arrow lands on a section labeled with the number 1.

Most Likely: Arrow lands on a section labeled with a number less than 4.

Step-by-step explanation:

The spinner:

There are 8 sections, 4 labeled with the number 1, 2 labeled with the number 3, 1 labeled with the number 3, and 1 labeled with the number 4.

Probabilities of the spinner:

The options:

A - Arrow lands on a section labeled with an odd number.

B - Arrow lands on a section labeled with the number 1.

C - Arrow lands on a section labeled with a number less than 4.

Answer:

2) $1797

3) $152

4) $5,378

Answer:

−4x2−2

Step-by-step explanation:

Answer:

42 units²

Step-by-step explanation:

Answer:5.7

Step-by-step explanation:

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the point Q and the ground is h-[L cos(80°)].

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The Base is the adjacent smaller side of the angle θ.

Let the height of the support be h and the height between the point q and the ground is x. Also, the distance between point Q and the support of the seesaw is L.

Now if we look at the ΔQAR, the measure of the ∠QRA is 80°, therefore, the sine of ∠QRA can be written as,

[tex]\rm Cos(\theta)=\dfrac{Base}{Perpendicular}\\\\Cos(\angle QRA) = \dfrac{AR}{QR}\\\\Cos(\angle QRA) = \dfrac{h-x}{L}\\\\L \times Cos(80^o)=h-x\\\\x=h-[L\ Cos(80^o)][/tex]

Hence, the distance between the point Q and the ground is h-[L cos(80°)].

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Answer:

who mows the lawn for 7 dollars :/

Step-by-step explanation:

Answer:

y = x -3

Step-by-step explanation:

Answer:

hope this helps you out question 4 and 3 are the same

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

The statement and reason for each equation is written below:

Multiplication law is a law of indices that governs the multiplication of variable. if they are of the same base they add up their powers.

Division law is also a law of indices that governs division of variables, and it states that for every division the  bases are equal we subtract their powers

In conclusion, The statement and reason for each equation is written above.

Learn more about Multiplication and division law :https://brainly.com/question/1129236

Answer:

84.82

Step-by-step explanation:

π·32·3≈84.823

Answer:

The volume of a cylinder with a height of 3 and a radius of 3 is 84.823 or you could say 84.8.

Step-by-step explanation:

Answer:

a diagonal one??? like its linear uhm okay here i have a picture one sec

Step-by-step explanation:

Answer:

You basically grow rep

Step-by-step explanation:

Brainly points you need for asking questions and people are more likely to trust you with their questions if you have alot!

Answer:

i actually dont know

Step-by-step explanation:

Answer:

3,454 cm³

Step-by-step explanation:

This is a cylinder so the volume formula is [tex]V=\pi r^{2} h[/tex]

The problem gives us the diameter (20 cm) and the height (11 cm). Since the formula uses the radius instead of the diameter, we have to divide the diameter by 2.

20 ÷ 2 = 10

The radius is 10 cm

Now, we plug our height and radius into the formula to find the volume.

[tex]V=\pi r^{2} h\\V=(\frac{22}{7})(10)^{2}(11)\\V=(\frac{22}{7})(100)(11)\\[/tex]

V≈3,454

Answer:

Step-by-step explanation:

Find the log of both the equation and the expression:

b log a = log x              this can be solved for log a in terms of log x:

              log x

log a = ------------

                  b

"Name" the second expression "y."  Then y = a^26 and log y = 26 log a.

                             log x

Then log y = 26--------------

                                 b

and the expression a^26 is found by taking the antilog of both sides of log y:

   log y                             log x

10           =   y   =    10^(26----------)

                                            b

Please double check to ensure that you have copied this problem down correctly.  

Answer:

1h=20m

60/4

0,25min+1h

1+0,25

=1,2

He will complete the race in 1.2 hours time.

Hence, option B is correct.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that,

The distance completing in 1 hour = 20 miles

So 1 miles of distance is covered in = 1/20 hours

It is also given that,

The distance of rally = 24 miles.

Therefore,

The time taken to cover 24 miles = 24/20

                                                        = 1.2

Thus,

The required time = 1.2 hours

to learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ2

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = [tex]ax^{2} +bx +c[/tex]

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = [tex]x^{2} +8x - 2[/tex]   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = ([tex]-4^{2}[/tex]) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

Answer:

Option D, (-4,-18)

Step-by-step explanation:

got it right on edge

Answer:

110.92

Step-by-step explanation:

Assuming that the parameters (P), (h), and (B) all represent dimensions of the given prism, then based on the given information, the following can be concluded:

P = 6.6

h = 4.5

B = 2.2

The surface area is the two-dimensional area around a three-dimensional surface. In other words, if one was going to wrap the figure, the surface area is the amount of paper one would need. One can find the surface area by finding the area of each individual side and then adding all the results together. To find the area of a 2-dimensional figure by multiplying the length by the width.

(4.5) * (6.8) = 30.6

(4.5) * (6.8) = 30.6

(2.2) * (6.8) = 14.96

(2.2) * (6.8) = 14.96

(4.5) * (2.2) = 9.9

(4.5) * (2.2) = 9.9

Now add up all of the values,

30.6 + 30.6 + 14.96 + 14.96 + 9.9 + 9.9

= 110.92