An settler on Mars measures the angle between the star Sero and the star Vega 3 to
be 22.4". If the Mars is approximately 93 million light years from the Sero and Vega 3
is approximately 67 million light years from the Sero (as measured by intergalactic
travelers), how far away is Vega 3 from the Mars?

Answer:

B

Step-by-step explanation:

center (1/2,-5/2)

radius=1/2

The correct location is between the two and three for the first digit and the three and six for the second number.

The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)

The problem can be modelled to a linear equation.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

y = total cost of the rental

x = mile driven

Hence,

y = 0.25x + 15

Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:

learn more on linear equation here: https://brainly.com/question/1550434

Answer:

D.  296 square inches

Step-by-step explanation:

The surface area of a prism is the total area of all its faces.

A triangular prism has three rectangular faces and two triangular faces.

As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.

Formulae

From inspection of the diagram:

⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²

⇒ Area of a rectangle = 8 x 10 = 80 in²

Total surface area

Total surface area = 3 rectangle areas + 2 triangle areas

                              = (3 x 80) + (2 x 28)

                              = 296 in²

Answer:

296

Step-by-step explanation:

have a great day

Answer:

Step-by-step explanation:

this would be summer. because i took le test puddin -Love harley

Answer:

Graph Passing through origin with Gradient ⅓

Step-by-step Solution:

1. Aquire x and y Intercepts by substituting 0 to corresponding value.

When x=0,

[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]

When y=0,

[tex]0 = \frac{1}{3} x \\ x = 0[/tex]

i.e. passing through Origin

do the same for any other 2 points and connect the dots/coordinates and extend the line

Answer:

I think 50 yrs old

Step-by-step explanation:

I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

According to given figure,

[tex]\qquad \sf  \dashrightarrow \:x + 68 = 174[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 174 - 68[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 106 \degree[/tex]

Answer:

6 will be the exponent

Step-by-step explanation:

1 million has 6 zeros

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The general strategy for solving the equation in form of :

[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]

is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.

so, correct choice is C. multiply both sides by a

Best way is multiply with a

By which x gets isolated

Let's check how?

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

24/5

Decimal Form:

4.8

Mixed Number Form:

4 4/5

Answer:

$2000 with payments of $320 a month

Step-by-step explanation:

360 x 6 = 2160

2160 + 2400 = 4560

320 x 6 = 1920

1920 + 2000 = 3920

Answer:

dealer A

Step-by-step explanation:

A: 360×6=2160

2400-2160=240

they save $240

B: 320×6=1920

2000-1920=80

they save $80

Step-by-step explanation:

1)

[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]

[tex] \frac{x }{1} = \frac{10}{2} [/tex]

[tex]x = 5[/tex]

In right Angles traingle

By using Pythagoras theorm

we get

x²+y²=10²

25+y²=100

y²=75

y=5√3

x=5,y=5√3

2)

Area of equilateral traingle =

[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]

required area

[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]

[tex] \frac{36 \sqrt{3} }{4} [/tex]

[tex]9 \sqrt{3} [/tex]

Answer: 12

Step-by-step explanation:  2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.

Answer:

y=2x+1

Step-by-step explanation:

You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.

Answer:

Step-by-step explanation:

There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.

Answer:

8 inches

Step-by-step explanation:

Nacho cheese

v= Pi×radius×2×height

v = 3.14×8×2×4 = 200.96

jalapeño

3.14×4×2=25.12

200.96÷25.12=8

the height is 8

to check your work you can do

(multiply by 8 and see if it equals 200.96)

3.14×4×2×8 = 200.96

since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct

Answer:

9 3/10

Step-by-step explanation:

5 4/5 = 5 8/10

3 1/2 = 3 5/10

3 5/10 + 5 8/10 = 9 3/10

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]

Answer:

14.3

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

9+196= 205 then find the square root of 205, approximate then use tenths.

Answer:

14.3

Step-by-step explanation:

Use the following equation:

a² + b² = c² , in which the variable c = hypotenuse, and a & b are the other legs.

It is given that the legs measure 3 and 14 respectively. Plug in the given numbers to the given leg variables:

a² + b² = c²

3² + 14² = c²

Simplify. First, solve the powers, and then combine like terms:

(3 * 3) + (14 * 14) = c²

9 + 196 = c²

c² = 205

Next, root both sides of the equation:

√c² = √205

c = √205 = 14.3178

c = 14.3 (Rounded to the nearest tenth).

14.3 is your answer.

~

The equivalent expression of 3 to the power of 4. is 9 to the power of 2.

The expression is given as:

3 to the power of 4.

Mathematically the expression is

[tex]3^4[/tex]

Express 4 as 2 * 2

[tex]3^{2*2}[/tex]

Evaluate 3^2

[tex]9^2[/tex]

This means that:

9 to the power of 2.

Hence, the equivalent expression of 3 to the power of 4. is 9 to the power of 2.

Read more about equivalent expression at:

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#SPJ2

Answer:

1

Step by step explanation:

[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]

Answer:

g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\

[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]

8 times

I hope this helps you

:)

Answer: (Decimal: x = 0.99746…)

The  two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Let the two unknown numbers be x and y

If the sum of the numbers is 21, hence;

x + y = 21

x = 21 - y

If the product is 104, then;

xy = 104
(21-y)y = 104

21y - y^2 = 104
y^2-21y + 104 = 0

Factorize the result

y^2-8y - 13y+ 104 = 0
y(y-8) - 13()y-8) = 0
y = 13 and 8

Hence the two numbers are 8 and 13 and the system of equations are x + y = 21 and xy = 104

Learn more on system of equation here:  https://brainly.com/question/847634

Answer:

147/3=49

49 groups

Step-by-step explanation:

Answer:

As the question states, predict how many times. I don't get the "realistic" prediction part, but however,

he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.

Answer:

318

Step-by-step explanation:

find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle

Answer:

318 mi²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 1 triangle and 2 rectangles (see attachment).

Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22

                             = 1/2 x 19 x 22

                             = 209 mi²

Area of Rectangle 2 = 5 x (11 + 6)

                                  = 85 mi²

Area of Rectangle 3 = 4 x 6

                                  = 24 mi²

Total area = 209 + 85 + 24 = 318 mi²

Answer:

its logx=logy

Answer:

its logx=logy

Answer: are congruent, rotation

Step-by-step explanation: