Question 10(Multiple Choice Worth 1 points) (05.02 LC) Given triangle ABC, which equation could be used to find the measure of B?​

Answer:

20.4

Step-by-step explanation:

use trig relations with the angle 74˚

the sides we know are the hyp (74) and the adj side to 74˚ (x).

the trig function associated with hyp and adj is cos.

cos = adj/hyp.

cos 74˚ = x/74

0.27 = x/74

x = 20.39

x = 20.4

Answer:

20.4

Step-by-step explanation:

1. c = b · sin(C) / sin(B) = 20.39716

This is the equation to find x.

c = x

b = 74

C = ?

B = 90

2. C must be found. We know that A is 90 and B is 74.

3. 180 = 90 + 74 + C

According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.

4. 180 = 164 + C

You must do 180 - 164 which equals 16.

5. C = 16

This means that 16 is what C equals. You can finally plug in the equation with all the gathered information

c = x

b = 74

C = 16

B = 90

4.  x = 74 · sin(16) / sin(90) =

You could use a calculator to find the answer.

5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.

Answer:

120

Step-by-step explanation:

we solve this question by using permutation because the order matters

nPr

5P4 = 120

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer:

[tex]x^2-10x+18=0[/tex]

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

[tex]20=2(x + w)[/tex]

Let's put w in terms of x. Divide both sides by two:

[tex]10=x+w[/tex]

And solve for w:

[tex]w=10-x[/tex]

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

[tex]x^2+w^2=8^2[/tex]

Simplify and substitute:

[tex]x^2+(10-x)^2=64[/tex]

Square:

[tex]x^2+(100-20x+x^2)=64[/tex]

Isolate the equation. So:

[tex]2x^2-20x+36=0[/tex]

Since the leading coefficient is one, divide both sides by two:

[tex]x^2-10x+18=0[/tex]

Therefore, a = -10 and b = 18.

Answer:

A. 3x+2=14. 3×+2-2=14-2. 3×=12

B. 12(×+10)=24. (12)(×)+(12)(10)=24. 12+120=24. 12×+120-120=24-120

C. 12×= -96. 12×/12. -95/12 x= -8

Answer:

0.6 cm

Step-by-step explanation:

she divided the the height of the tree 500, so the same factor has to be applied to everything else

3m * 1/500 = 0.6cm

Answer:

-9y⁹ + 6

Step-by-step explanation:

Subtracting a negative makes it positive

-13y⁹ + 6 + 4y⁹

combine like terms

-9y⁹ + 6

Answer:

x ≈ 69.6°

Step-by-step explanation:

The angle of elevation is the measure of angle x

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°

The angle of elevation is 69.6° ( to the nearest tenth )

Answer:

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Step-by-step explanation:

The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:

[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)

Where:

[tex]m[/tex] - Slope of the original line.

[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.

If we know that [tex]m = 1[/tex], then the new slope is:

[tex]m_{\perp} = -\frac{1}{1}[/tex]

[tex]m_{\perp} = -1[/tex]

A line is defined by the following expression:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:

[tex]b = y - m\cdot x[/tex]

[tex]b = 1+4[/tex]

[tex]b = 5[/tex]

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Answer:

y-y1=m(x-x1)

y-1/3=3/4(x-4)

y=3/4x-8/3

Answer:

1 cm =5ft

2.7 cm =?

cross multiplying gives:

2.7 X 5= 13.5 ft

Answer:

4+5-1535648&574£abjibav fgjr

Answer:

D. x ≥ 1

Step-by-step explanation:

The graph shows a shaded circle which starts at 1. This implies that 1 is included in the possible values of x. The line goes from 1 towards our tight. This means that the possible values of x are greater than or equal to 1.

The inequality representing the graph would be:

x ≥ 1

Answer:

i think let me see

Step-by-step explanation:

Step-by-step explanation:

A geometric sequence is when we multiply one number by a set rate to obtain the next number.

For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric

Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric

Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric

Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric

Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric

Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.

Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric

Answer:

Step-by-step explanation:

answer for question no 3

answer for question no 4

Answer:

a) x=18

b) 36 (2*18)

c) 54 (3*18)

d) I'm not exactly sure what it's asking for, so I don't know

Step-by-step explanation:

triangle sum theorem means the sum of every triangle is 180 degrees

so we can make this equation: 180 = 90 + 2x + 3x

solve and you get 18.

Answer:

Same side angles are supplementary

L+k=180

18x-18+72=180

18x=126

x=7

m∠18(7)-18

= 108°

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hope it helps...

have a grat day

Answer:

[tex]ML=9,MN=8[/tex]

[tex]MK=ML+LK[/tex]

[tex]9+-3+x[/tex]

[tex]=9-3+x[/tex]

[tex]MK=6+x[/tex]

[tex]ME=MN+NE[/tex]

[tex]ME=8+x[/tex]

Now using Secant secant theorem:-

[tex]ML*MK=MN*ME[/tex]

[tex]9(6+x)=8(8+x)[/tex]

[tex]54+9x=64+8x[/tex]

Subtracting 8x and 54 on both sides:-

[tex]54+9x-8x-54=64+8x-8x-54[/tex]

[tex]x=10[/tex]

[tex]KL=-3+x[/tex]

[tex]KL=-3+10[/tex]

[tex]KL=7[/tex]

so, your answer is C) 7

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hope it helps....

Answer:

C.) 7

Step-by-step explanation:

I got it correct on founders edtell

Answer:

x = 24

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(14+18)* 18 = x^2

32*18 = x^2

576 = x^2

Take the square root of each side

sqrt(576) = sqrt(x^2)

24 =x

Answer:

7.69

Step-by-step explanation:

13.99 x 0.45 = 6.2955 or 6.3

13.99 - 6.3 = 7.69

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

In this problem we find a triangle whose vertices have the following coordinates: A(x, y) = (1, 8), B(x, y) = (3, 8), C(x, y) = (1, 10), and we are asked to enlarge the triangle by a scale factor of - 1.5 and with a centre of enlargement at (3, 6). Please notice that the negative sign of the scale factor involves both enlargement and reflection. Then, the operation can be done by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]            (1)

Where:

If we know that O(x, y) = (3, 6), k = - 1.5, A(x, y) = (1, 8), B(x, y) = (3, 8) and C(x, y) = (1, 10), then the coordinates of the resulting expression:

A'(x, y) = (3, 6) + (- 1.5) · [(1, 8) - (3, 6)]

A'(x, y) = (3, 6) + (- 1.5) · (- 2, 2)

A'(x, y) = (3, 6) + (3, - 3)

A'(x, y) = (6, 3)

B'(x, y) = (3, 6) + (- 1.5) · [(3, 8) - (3, 6)]

B'(x, y) = (3, 6) + (- 1.5) · (0, 2)

B'(x, y) = (3, 6) + (0, - 3)

B'(x, y) = (3, 3)

C'(x, y) = (3, 6) + (- 1.5) · [(1, 10) - (3, 6)]

C'(x, y) = (3, 6) + (- 1.5) · (- 2, 4)

C'(x, y) = (3, 6) + (3, - 6)

C'(x, y) = (6, 0)

The coordinates of the enlarged and reflected triangle are A'(x, y) = (6, 3),  B'(x, y) = (3, 3) and C'(x, y) = (6, 0).

To learn more on rigid transformations: https://brainly.com/question/1761538

#SPJ1

Answer:

$77.90

Step-by-step explanation:

The range between the highest and lowest is 27.50 so the lowest should be 27.50 less than 105.40. 105.40-27.50=77.90

So the lowest pay is $77.90

Answer:

A ( 3 , 4 )

B ( -3 , 2 )

C ( -2 , -4 )

D ( 6 , -3 )

E ( 0 , 0 )

Step-by-step explanation:

remember that x values go first and then y values ( x , y )

Answer:

a) 40 is the interquartile range

descriptive statistics, the interquartile range, also called the midspread, middle 50%, or H‑spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.

b).

The first thing you always need to do before estimating fractions is to round each fraction either to the nearest 0, 1/2, or 1. Example #1. Estimate 3/7 + 5/9. Notice that 3/7 is close to 1/2 and 5/9 is also close to 1/2. Therefore, an estimate for 3/7 + 5/9 is 1/2 + 1/2 = 1.

Answer:

(1,-8)

Step-by-step explanation:

this is be because a rectangle is parralel so opposite ends will have equal sides,  if you were to graph this, there would be a missing point in the spot (1,-8).  

Answer:

(1,-8)

Step-by-step explanation:

Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

Answer:

[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]

Answer:

circumference=10.05 m

Step-by-step explanation:

radius =diameter/2

=3.2/2

=1.6 m

circumference=2πr

=2*3.14*1.6

=10.048 m

=10.05 m

The Answer is:

B) -3/2