Can someone explain by steps on how to do this

Can Someone Explain By Steps On How To Do This

Answers

Answer 1

Answer:

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

Step-by-step explanation:

This is a special right triangle with angle measures 90-60-30 degrees

The side lengths are like the following :

The side length that sees 90 degrees is represented with x

The side length that sees 60 degrees is represented with x[tex]\sqrt{3}[/tex]

The side length that sees 30 degrees is represented with 2x

the side that sees 90 degrees is given as 16 so x = 8 and so  a = 8[tex]\sqrt{3}[/tex]


Related Questions

circle o has a center of (5,5) and radius 4 cicle p has center (3,-1) and raidus 5. Which describes how circle o cab be transformed to show that circle P is similar to circle o

Answers

Answer:

Translate circle O 2 units to the left and 6 units down. Then dilated circle o by a scale factor of 4/5.

Step-by-step explanation:

Objective: Using transformations that are similar and congruent.

For a school project, 6 students are working on a skit that has 4 different roles. Each role can be played by anyone, and no student can play more than one role. How many different casts are possible?

Answers

Answer:

15

Step-by-step explanation:

[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]

Answer:

Maybe you can add roles, like managing, or narrating?

Step-by-step explanation:

63.89 X n = .6389 Solve for n *
A. 10
B. 100
C. .01
D. .1

Answers

Answer:

c. .01

Step-by-step explanation:

.6389 divided by 63.89

(C)
63.89*n=.6389

.6389/63.89=n
0.01=n

PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER

Answers

Answer:

2 batches

Step-by-step explanation:

We can divide 7 1/2 by 3 3/4 to get 2, so the factory made 2 batches of granola bars yesterday.

Solve for x. = x/2 = -7

Answers

Answer:

x = -14

Step-by-step explanation:

x/2 = -7

~Multiply 2 to both sides

x = -14

Best of Luck!

Car A covers 100 miles in 120 minutes, while car B covers 300 miles in 5 hours. How do car A and car B speeds compare (Hint: 60 minutes = 1 hour)
A. Car A is faster than car B.
B. Car B is faster than car A.
C. Car B is slower than car A.
D. Car A has the same speed as car B.​

Answers

Answer:

option D. Car A has the same speed as car B.

Natasha can ride her bike at a rate of 10 miles per hour. How many miles can she go if she rides from 10:00 A.M. To 3:00 P.M.

Answers

Answer:

50 miles

Step-by-step explanation:

There are 5 hours in between 10 AM and 3 PM.

Find how many miles she can go by multiplying 5 by 10, since she rides at 10 miles per hour:

5(10)

= 50

So, Natasha will ride 50 miles

Which of the following represents x = 1/3y written in general form?
3x - y = 0
X-1/3y=0
1/3x-y=0

Answers

Answer:

x-⅓y=0

Step-by-step explanation:

thats the answer

brainly please

Answer: 3x-y=0

Step-by-step explanation:

X = 1/3y

X × 3 = 1/3 y × 3

3x = y

3x - y = y- y

3x- y = 0

what is the eqution of the line through the orgin and (-2,3)

Answers

Answer:

Origin = (0, 0)

Gradient or slope:

[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]

General equation of line:

[tex]{ \bf{y = mx + c}}[/tex]

Consider the origin:

[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]

Equation of line:

[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]

Answer:

-2y+3x=0

Step-by-step explanation:

Slop=(3-0)/(-2-0)=-3/2

(Y-Y1) =m(x-x1)

(y-3) =-3/2(x+2)

-2y+3x=0

9
[tex] {9}^{x} \times 16^{x } = 12[/tex]

Answers

9ˣ × 16ˣ = (9 × 16)ˣ = 144ˣ = 12

Since 12² = 144, it follows that x = 1/2.

That is,

144ˣ = 12

(12²)ˣ = 12

12²ˣ = 12

log₁₂(12²ˣ) = log₁₂(12)

2x log₁₂(12) = log₁₂(12)

2x = 1

x = 1/2

The dimensions of a screen are 21 ft by 20 ft. Find the length of the diagonal .

Answers

Answer:

29 ft

Step-by-step explanation:

the screens have 90 degree angles so they form right triangles with the diagonal, so use Pythagorean theorem to solve for the diagonal

diagonal² = 21² +20² , square and square root both sides of the equation

diagonal = √441+400, add

diagonal = √841, square root

diagonal = 29ft

the functions f and g are defined as follows

Answers

Answer:

f(- 3) = 27 and g(6) = - 15

Step-by-step explanation:

Substitute x = - 3 into f(x) and x = 6 into g(x) , that is

f(- 3) = - 2(- 3)² - 3(- 3) = - 2(9) + 9 = 18 + 9 = 27

g(6) = - 2(6) - 3 = - 12 - 3 = - 15

-15 would be your answer

I hope I helped, stay safe. Xx

Y
8
6+
4+
2+
A++
-8 -6 -4
++
8
N
4
6
-4+
-6+
-8-
What is the equation of the line?

Answers

Answer:

guy this one is very hard oh I don't know it

Can someone please help, I'll give out 20 points !

Question - Where is the blue point on the number line?

Answers

I believe it would be negative three (-4) since the lines are thinner however; there is a chance they are skip counting by 2. In that case the answer would be negative six (-6).

Answer:

-6

Step-by-step explanation:

The number line is created by skip counting of 2.

So, -2 ,  then -4 and then -6.

So,  blue dotted point is (-6)

Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of his drive?

Answers

Answer:

20 miles

Step-by-step explanation:

10miles × 2 = 20miles

Half of 20 equals 10,
20 miles is the total length of his drives in miles.

What is the measure of Lx?

Answers

Answer:

B.72°

is the correct answer.

hope it helps .stay safe healthy and happy..

The volume of a cylinder is given by the formula V=πr^2h, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder?

h=2x+7
r=x-3

Options:
1: 2πx^3 - 12πx^2 - 24πx + 63π
2: 2πx^3 - 5πx^2 - 24πx + 63π
3: 2πx^3 + 7πx^2 - 18πx - 63π
4: 2πx^3 + 7πx^2 + 18πx + 63π

Images for more detail:

Answers

Answer:

B

Step-by-step explanation:

We are given a cylinder with a height of (2x + 7) and a radius of (x - 3).

And we want to find the expression for the volume of the cylinder.

Recall that the volume of a cylinder is given by:

[tex]\displaystyle V = \pi r^2 h[/tex]

Where r is the radius and h is the height.

Substitute:

[tex]\displaystyle V = \pi(x-3)^2(2x+7)[/tex]

Expand. We can use the perfect square trinomial pattern:

[tex]\displaystyle V = \pi \left[\underbrace{(x^2-6x+9)}_{(a-b)^2=a^2-2ab+b^2}(2x+7)\right][/tex]

Distribute:

[tex]V=\pi \left[ 2x(x^2-6x+9)+7(x^2-6x+9)\right][/tex]

Distribute:

[tex]V = \pi \left[(2x^3-12x^2+18x)+(7x^2-42x+63)\right][/tex]

Rewrite:

[tex]V = \pi\left[(2x^3)+(-12x^2+7x^2)+(18x-42x)+(63)\right][/tex]

Combine like terms:

[tex]V = \pi (2x^3-5x^2-24x+63)[/tex]

Distribute:

[tex]V = 2\pi x^3-5\pi x^2 -24\pi x+63\pi[/tex]

Hence, our answer is B.

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $6. On
Saturday, Rob earned $56 babysitting. How much money did he save?
If he earned $56, he saved sli

Answers

Answer:

Rob has saved $24.

Step-by-step explanation:

The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.

Answer the questions

Answers

Answer:

c) x= 15

d) x= 5

Step-by-step explanation:

c)4x + 5+ 7x +10=180

solve it like usually

for d) 3x + 15+12x=90

Answer:

15 and 3

Step-by-step explanation:

the first figure total sum of angles is 180 since it is a straight line

the second figure is a right ane(90) so sum of angles is 90

A bag contains 10 marbles,7 of which are black and 3 are red.three marbles are drawn at one after the other.find the probability of choosing at most two black marbles.​

Answers

Answer:  17/24

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

Explanation:

We have these four cases or possible outcomes

Case 1) We select 0 black marbles and 3 red marbles.Case 2) We select 1 black marble and 2 red marbles.Case 3) We select 2 black marbles and 1 red marble.Case 4) We select 3 black marbles and 0 red marbles.

Let's calculate the probability for case 4.

There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.

The probability of getting 3 black marbles in a row is

(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.

That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).

Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".

So that's why the answer is 17/24.


Expand the following:
a) 2(x+3)
b) 512x-4)
C) 4(2x + 1)
d) 6 x - 4y

Answers

Answer:

A.2x+6

B.60x-20

C.8x+4

D.6x-24y

Which function represents g(x), a reflection of f(x) = }
(10)* across the x-axis?
O g(x) = - (10)*
O g(x) = -(0)
O g(x) = (10)
O g(x) = { (10)*

Answers

Answer:

[tex]g(x) = -(10)^x[/tex]

Step-by-step explanation:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

So, if here the function is:

[tex]f(x) = 10^x[/tex]

The reflection across the x-axis is:

[tex]g(x) = -f(x) = -(10)^x[/tex]

The correct option is the first one, counting from the top.

The formula for the circumference of a circle is C = 21
r, where r is the radius and C is the circumference. The
equation solved for r is raza
Find the radius of a circle that has a circumference of
16.
r= 4
r= 8
r = 12
r= 16

Answers

Answer:

r=8

Step-by-step explanation:

Can you use the SSS Postulate to prove QPS≈QRS?

by SAS only
by SSS only
both apply
neither apply

Answers

Answer:

by SAS only

Step-by-step explanation:

based on the diagram we only have one side and one angle explicitly identified as equivalent.

but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.

so, SAS applies (but no other, as we don't have any information on the 3rd side).

Help Now!!!
Find the surface area sphere

Answers

Answer:

Step-by-step explanation:

A=4πr2=4·π·1002≈1.25664×105

What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)?

Select the best answer from the choices provided.
A.
(-4, -4)
B.
(-6, -7)
C.
(-6, -4)
D.
(-4, -7)

Answers

B). (-6,-7)

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

(50 POINTS)Please help me, and show all of your work step by step.
You would like to purchase a car in 2 years. How much money will you need to invest at a 1.4% interest rate compounded annually in order to have $8,000 in 2 years? Use the compound interest formula A = P(1 + i)^n.
A = accumulated amount
P = principle
i = interest rate
n = number of years

Answers

Step-by-step explanation:

the answer is in the image above

I hope it helps

Help Please Now!!!
Find The Volume Of This Cylinder

Answers

Answer:

V ≈ 4021 mm³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 mm

h = 20 mm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(8 mm)²(20 mm)Evaluate exponents:                                                                                         V = π(64 mm²)(20 mm)Multiply:                                                                                                             V = 1280π mm³Round:                                                                                                               V ≈ 4021 mm³

Find the roots of the quadratic equation 3x^2 - 6x + 2 = 0 using the quadratic formula.

Answers

Answer:

Here is your answer

Hope it helps....

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

1/9
9
-9
-1/9

Pls answer​

Answers

Answer:

[tex]\boxed{\sf a = 9 }[/tex]

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]

[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]

Step 1 : Convert the equations in slope intercept form of the line .

[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]

and ,

[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]

And the slope of the second line is ,

[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]

Step 3: Multiply the slopes :-

[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]

Multiply ,

[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]

Multiply both sides by a ,

[tex]\sf\longrightarrow (-1)a = -9 [/tex]

Divide both sides by -1 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]

Hence the value of a is 9 .

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