Find the measure of the indicated angle in the triangle.
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Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

The value of csc C in fraction and in decimal form is as follows:

csc C  = 5 / 3

csc C = 1.66666666667

Using trigonometric ratio,

secant A = 1 / cos A = hypotenuse / adjacent

Therefore,

sec A = 5/3

sec A = 1 / cos A

cos A = adjacent / hypotenuse

cos A = 3 / 5

A = cos⁻¹ 0.6

A = 53.1301023542

Therefore,

∠A = 53°

∠B = 90°

∠C = 180 - 143 =  37°

cosec C = 1 / sin C = hypotenuse / opposite

cosec C = 5 / 3

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The line of length 48 is passing through the midpoint of traingle so it's half of base

[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

Answer:

3 (x - 4)

Step-by-step explanation:

Answer:

29 minutes

Step-by-step explanation:

MY ANSWER WITH SOLVING STEPS

#CARRYONLEARNING

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Using the normal distribution, it is found that the area of the shaded region is of 0.7823.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.2 - 59}{6.7}[/tex]

[tex]Z = 0.7761[/tex]

[tex]Z = 0.7761[/tex] has a p-value of 0.7823.

The area of the shaded region is of 0.7823.

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

Answer:

1 solution is the answer

Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

Answer:

  9:50

Step-by-step explanation:

It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...

  ? - 8:58 = 0:52   ⇒   ? = 8:58 +0:52 = 9:50

  10:43 -? = 0:53   ⇒   ? = 10:43 -0:53 = 9:50

The missing time is 9:50.

Answer: 15 degrees Celsius

Step-by-step explanation:

Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated

• correct me if I'm wrong

Answer:

Area of Walkway = 12x+16

Step-by-step explanation:

Area of Garden = 4(2.5x + 1.5)  [Garden Area]:  (10x + 6)

Area of Garden and Walkway = 5.5(4x+4) [Total Area]:  (22x + 22)

Area of Walkway = [Total Area] - [Garden Area]

Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]

Area of Walkway = [22x+22)]   - [10x + 6)]

Area of Walkway = 12x+16

Answer:

9x+11 Its hard to explain but if you need a explanation khan academy really helps.

Answer:

  an = 22 -6(n -1)

Step-by-step explanation:

The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d

The third term will be ...

  a3 = 10 = 22 +d(3 -1)

Then the common difference is ...

  10 -22 = 2d

  -12/2 = d = -6

__

Putting the known values into the formula for the general term, it becomes ...

  an = 22 -6(n -1)

__

This can be simplified to ...

  an = 28 -6n

Answer:

y=4/9x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

Answer:

1050miles.

Step-by-step explanation:

since every 2 inches=350 miles, then 6 inches= 3(350miles)

since 6/2=3.

or you can think of it this way:

there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.

350+350+350=1050miles.

Answer:

Yes

Step-by-step explanation:

AX is equal to XB

Answer:

I'm confused about your question can you explain?

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

Answer:

7/8

Step-by-step explanation:

1 1/4 is the same as 5/4.

5/4 is also the same as 10/8.

The distance from 3/8 to 10/8 is 7/8.

Hope that helps

Answer:

1 1/4 - 3/8

5/4 - 38

10/8 - 3/8

7/8

Answer:

121 cm²

Step-by-step explanation:

Square's area formula is

A=a²

where a stands for a side of the square

A=(11 cm)²

A=121 cm²

whenever you're talking of area you put cm²

Answer:

Given :

To Find :

Using Formula :

[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]

Solution :

Substituting the given value in the required formula to find area of square :

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]

Hence, the area of square is 121 cm².

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Answer:

x = 1.125 AKA x = 1 1/8 AKA x = 9/8

Step-by-step explanation:

CB to ED = 1 : 9

Scale Factor = 1/9

[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply

9x = x + 9

-x     -x

8x = 9

[tex]\frac{8x}{8} =\frac{9}{8}[/tex]

x = 9/8

Answer:

187.96cm

Step-by-step explanation:

first convert 6 feet to cm=182.88

then convert 2 inches to cm=5.08

add your answers together=187.96

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six

The cost of each campstools, tent and sleeping bag is $20, $100 and $26

let

tent = 1

sleeping bags = 2

campstools = 3

Total cost = $212

tent = t

sleeping bags = s

campstools = c

If

t = 5c

s = c + 6

Total = t + 2s + 3c

212 = 5c + 2(c + 6) + 3c

212 = 5c + 2c + 12 + 3c

212 = 10c + 12

212 - 12 = 10c

200 = 10c

c = 200/10

c = 20

t = 5c

= 5 × 20

= 100

s = c + 6

= 20 + 6

= 26

Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26

Learn more about equation:

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Answer:

1500 + x(0.1)=salary

Step-by-step explanation:

Without a sales value, what I'm assuming you want is the equation to find his salary

Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck

so we end up with an equation of 1500 +0.1x=y

Leave a thanks please!

Answer:

B. LXYB.

Step-by-step explanation:

Answer:

1x+-8(-4)=b

Step-by-step explanation: