Please solve these congruent triangle problems

Answer:

5 mph

Step-by-step explanation:

1/2 mile in 1/10 of an hour

1 mile in 1/5 of an hour

5 miles in 1 hour

We are provided that [tex]{\sf \sin (64^{\circ})=p}[/tex] and we have to find the value of [tex]{\sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex] . But let's recall a identity which is gonna be very helpful to do this question i.e

Now , coming back on the question ;

[tex]{:\implies \quad \sf 8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})}[/tex]

[tex]{:\implies \quad \sf 4\{ 2\sin (16^{\circ})\cos (16^{\circ})\}\cos (32^{\circ})}[/tex]

Using the above identity ;

[tex]{:\implies \quad \sf 4\sin (32^{\circ})\cos (32^{\circ})}[/tex]

[tex]{:\implies \quad \sf 2\{2\sin (32^{\circ})\cos (32^{\circ})\}}[/tex]

Again using the same identity ;

[tex]{:\implies \quad \sf 2\sin (64^{\circ})}[/tex]

Putting the given value of [tex]{\sf \sin (64^{\circ})}[/tex]

[tex]{:\implies \quad \sf 2p}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{8\sin (16^{\circ})\cdot \cos (16^{\circ})\cdot \cos (32^{\circ})=2p}}}[/tex]

Proof of the above identity :-

We know that ;

[tex]{\quad \boxed{\sf \sin (A\pm B)=\sin (A)\cos (B)\pm \cos (A)\sin (B)}}[/tex]

So ;

[tex]{:\implies \quad \sf \sin (A+ B)=\sin (A)\cos (B)+\cos (A)\sin (B)}[/tex]

Putting [tex]{\sf A=B=\theta}[/tex] ,

[tex]{:\implies \quad \sf \sin (\theta+ \theta)=\sin (\theta)\cos (\theta)+\cos (\theta)\sin (\theta)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\sin (2\theta)=2\sin (\theta)\cos (\theta)}}}[/tex]

Hence , Proved :D

Answer:

84

2 42

2 21

3 7

Step-by-step explanation:

It has total 12 factors of which 84 is the biggest factor and the prime factors of 84 are 2, 3 and 7. The Prime Factorization of 84 is 2^2 × 3 × 7

Answer:

in attachment

Step-by-step explanation:

The volume of the dilated prism is calculated to be considering scale factor for the area as well as the height is 7558272 cm³.

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).

Given that

The base area of prism = 8 cm²

Height of the prism = 6

Scale factor = 54

So enlarged area =( scale factor )² * previous area = 54²* 8 = 23328 cm²

Enlarged height = 54*6= 324 cm

Enlarged volume = enlarged area* enlarged height = 7558272 cm³

Thus, the volume of the dilated prism is 7558272 cm³.

To get more about dilation refer to:

https://brainly.com/question/25722260

Answer:

Your question is unclear as to which product you're looking for, the dot product or the cross product, so I'll answer for both.

The i and j notations for vectors refer to their coordinates, e.g. a vector that is 2i+3j is one that moves 2 units in the x-direction and 3 units in the y-direction. This can also be notated as (2, 3), and that's the notation I'll be using in this answer to keep things simple.

In order to get either product, we have to do the subtraction in parentheses first:3v - 4w = 3 * (2, -2) - 4 * (0, -2). When multiplying a vector by a scalar number, you just multiply the coordinates by the scalar, so this becomes (6, -6) - (0, -8). Performing this subtraction by subtracting corresponding coordinates, we get 3v - 4w) = (6, 2). Also, 5u = 5 * (-3, 2) = (-15, 10).

Now, the dot product of two vectors is a scalar quantity. The dot product of the two vectors (-15, 10) • (6, 2) is the sum of the products of the corresponding coordinates. This is -15 * 6 + 10 * 2, which is -90 + 20, and that is -70.

Step-by-step explanation:

Answer:

76.92%

Step-by-step explanation:

Green: 5

Orange: 5

Yellow: 3

First: 5 + 5 + 3 = 13

Now we need to find the probablility of picking an orange or green marble.

We need to divide the number of green and orange marbles put together by the total, 13.

10/13 = 76.92%

You have a 76.92% chance of picking either a green or orange marble.

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!

Answer:

3

Step-by-step explanation:

share 30 in the ratio 1:9

1+9=10

30÷10 =3

3 in each part

Answer:

20 mins

Step-by-step explanation:

The answer is 20 minutes. If you look at the times it's 11:47 and 12:07. Notice the times end in 7. You would add ten minutes until you get the time, and in the end you have 20 mins.

Hope this helps!

Answer:

As shown, a box-and-whisker plot is a way of summarizing a set of data measured on an interval scale. This type of graph is used to show the shape of the distribution, its central value, and its variability.

Explanation:

100% When I put this in

Answer:

Step-by-step explanation:

The slope of a line on a graph is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Ernest used (x1, y1) = (15, 450) and (x2, y2) = (60, 900) to fill values into this formula. In doing so, he got ...

  m = (900 -450)/(60 -15) = 450/45 = 10

This is an appropriate use of the formula, so gave Ernest the correct answer.

Answer:

Step-by-step explanation:

Hope it helps!!!

Answer:

the 30th term of the given linear sequence is -63.

Step-by-step explanation:

The given sequence is in arithmetic progression whose difference is given by:

-7 - (-5) = d

d = -2

The nth term in the arithmetic progression is given by the formula:

where 'n' is the number of terms, 'a' is the first term,  is the nth term, and 'd' is the difference.

Now, substitute the known terms in the above formula.

So, the 30th term of the given linear sequence is -63.

Answer:

[tex]f(g(x)) = 2x - 1[/tex]

Step-by-step explanation:

learn composite functions

The graph of the equation y = m^x passes through the point (1, m)

Given the equation of a graph expressed as y = m^x

We need to determine the coordinate point that lies on this graph.

If x = 1, substitute into the formula to have:

y =m^1

y = m

Hence the required coordinate will be (1, m)

Learn more on equation of graph here: https://brainly.com/question/24894997

Answer:

6/12 ≈ 1/2

Step-by-step explanation:

Q) 2/3 × 3/4 = ?

→ a = 2/3 × 3/4

→ a = (2 × 3)/(3 × 4)

→ a = 6/12

→ [ a = 1/2 ]

1/2

Multiply the numerators and the denominators of both fractions,

2  *  3

_____    

3  *  4

= 6/12

Simplify.

1/2

20

y'all homeworks are easy lølllll

Answer:

5.83 or 6

Step-by-step explanation:

don't know for sure sorry! have a good day or night!

Answer: 5.83

Step-by-step explanation: Im a fifth grader I’m only taking an estimate

Answer:

5X²+16X+8=0

Step-by-step explanation:

5(X+2) (X+2)=4(X+3)

5(X²+2X+2X+4)=4(X+3)

5(X²+4X+4)=4(X+3)

5X²+20X+20=4X+12

5X²+20X-4X+20-12=0

5X²+16X+8=0

Answer:

11/3

Step-by-step explanation:

let the 3rd no be x

(x-3)3 = 18

x-3 = 6

x = 9

keep solving the equation and the first term will be 11/3

ANSWER:

x° = 24°

y° = 72°

Analysis on picture hope it helps

Answer:

Simple Interest: $3.44

Annually Compounded Interest: $3.51

Answer:

Joey is going to pay $687.5

In all Joey is going to pay $3437.5

Step-by-step explanation:

To get 687.5 you have to do $2750 x 0.05 x 5 years

That gets you 687.5

Step-by-step explanation:

$70*8% ≈ 56

so, 70 - 56 = i14

ihopethishelps

Answer:

[tex]\huge\boxed{a^6b^3}[/tex]

Step-by-step explanation:

Because every term here is multiplied, simply count the number of 'a's and 'b's.

Hope it helps :) and let me know if you want me to elaborate.

Answer

she has a 3 out of 11 percent chance aka 3/11

Step-by-step explanation:

There is 1 red meaning there is less of a chance to get that one unless she is lucky same goes with purple! She has 2 brown flip flops so there is more of a chance she may get that one, but 4 pairs of pink flip flops meaning she is more likely to pick pink on Tuesday then Monday. but the answer can be 3/7 if I do not count the others flip flops... but hopefully this helps...

Answer:

d= 66

Step-by-step explanation:

1- Calculate diameter of the circle

Answer:  A. x=-2y^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did the test

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

[tex]\sf \frac{y2-y1}{x2-x1}[/tex]

[tex]\sf \frac{6-8}{4-0}[/tex]

[tex]\sf \frac{-2}{4}[/tex]

[tex]\sf -\frac{1}{2}[/tex]

equation:

[tex]\sf y = mx +b[/tex]    [ where m is slope and b is y-intercept ]

[tex]y = \sf -\frac{1}{2}x +8[/tex]

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

[tex]y = \sf -\frac{1}{2}x +8[/tex]

[tex]0= \sf -\frac{1}{2}x +8[/tex]

[tex]-8= \sf -\frac{1}{2}x[/tex]

[tex]\sf x = -8 * -2[/tex]

[tex]\sf x = 16[/tex]

Answer:C 16.

Step-by-step explanation:

its 16

Answer:

parallel

Step-by-step explanation:

if two lines are not parallel they will cross eventually at one point meaning they will have a point in common so they must be parallel

Answer:

No, it isn't a random sample of students because Clara surveyed students in a regional spelling bee so instead it would be a survey of the kids in the spelling bee.