What numbers correctly complete each equation?

All squares have the same value

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

8 dogs so 5*8= 40

so it's D

Answer:

the possible line of best fit equation is;

y = 10x + 24

Step-by-step explanation:

Here, we want to get the approximate line of best fit

Mathematically, we have the general line of best fit as

y = mx + b

where m is the slope and b is the y-intercept

By joining the given lines, we can see that the y-intercept values fall a little below 30

This means that the possible y-intercept value is 24

Now, to get the slope value, we select any two points and use the slope equation

We can have (3,50) and (6,80)

Using the slope equation;

m = (y2-y1)/(x2-x1) = (80-50)/(6-3) = 30/3 = 10

The equation is thus;

y = 10x + 24

Answer:

11 kilometers

Step-by-step explanation:

Since there are 1,000 m in 1 km, John ran 5 km on Monday. Combine that with the 6 km he ran on Tuesday, and you get 11 km in total.

Answer:

11 kilometers

Step-by-step explanation:

1000 meters=1 kilometer

5000÷1000=5

5+6=11

Answer:

1.-38

2.36

3.-44

4.44

5.16

6.-24

7.?

8.-2

9.-9

10.18

11.43

12.4

Step-by-step explanation:

lol have a good day!

Answer:

Step-by-step explanation:

a= b^c     << === >>    logb(a) = c

                 a      b    c

Convert    45 = 9^√x    << === >>   log9 (45) = √x  

                                                1.7324867604 = √x    

                                                              3.0    =    x          squared both sides

I used a log calculator on the internet when a Gaggled log calculators

Answer:

4y+12x

Step-by-step explanation:

I dont have time to type sry

Answer:

i was number #173

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

You have to find the lcm, and that is 56!  Hope that helps.

Answer:

1DK

Step-by-step explanation:

Answer:

10(6y−9−2x) and 5(12y−18−4x)

Answer: 10(60y/10 - 90/10 +-20x/10)

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

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

The double negative becomes a positive, and then you're done:

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

X < 10

Step-by-step explanation:

Answer:

14 units

Step-by-step explanation:

Answer:

5x^2+18x+5

Step-by-step explanation:

Answer:

5x² + 18x + 5

Step-by-step explanation:

Given

3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis

= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms

= 5x² + 18x + 5

Answer:

UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION  

Step-by-step explanation:

Answer:

The side lengths are 10 by 7

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = (x - 11)(x - 8)

FOIL

70 = x^2 -8x-11x+88

Combine like terms

70 = x^2 -19x +88

Subtract 70 from each side

0 = x^2 -19x +88-70

0 = x^2 -19x+18

Factor

What number multiplies to 18 and adds to -19

-18*-1 =18

-18-1 = -19

0=(x-18)(x-1)

Using the zero product property

x-18=0   x-1=0

x=18   x=1

But x cannot x=1 because then the side lengths would be negative

x-18 = 10

x-11 = 7

The side lengths are 10 by 7

Answer:

Step-by-step explanation:

Width: x

Length: x + 3

Height: x + 3 + 4 = x + 7

Volume of prism = area of cross section x length

Area of cross section = width x height = x ( x + 7 ) = x² + 7x

Volume = (x + 4) x (x² + 7x)

= x³ + 7x² + 4x² + 28x

= x³ + 11x² + 28x

The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].

Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.

We know that volume of rectangular prism is L*B*H.

We have been given that width is x cm.

According to question length will be x+3,

Height will be x+3+4

=x+7

Volume will be =x(x+3)(x+7)

Multiply the expressions,

=x([tex]x^{2}[/tex]+3x+7x+21)

=x([tex]x^{2}[/tex]+10x+21)

=[tex]x^{3} +10x^{2} +21x[/tex]

Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

Answer:

(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

Answer:

the area of the square = x² = 147,852 ft²

Step-by-step explanation:

Given;

two sides of a right triangle, = 222 units and 444 units

let the third side of the right triangle that shares a side with a square = x

the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.

x² = 444² - 222²

x² = 147,852

x = √147,852

x = 384.52 ft

Therefore, the area of the square = x² = 147,852 ft²

Answer:

20 = x^2

Step-by-step explanation:

to find c^2 you need to do:

a^2 + b^2 = c^2

so- 2x2 + 4x4 = 4+16= 20

20 = x^2 and since x is squared you do not find the square root

Answer:

W = 6.75

L = 20.25

Step-by-step explanation:

2(w + 3w) = 54

8w = 54

w = 6.75

L = 20.25

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

Answer:

32.56

Step-by-step explanation: