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3 years ago

Which of the following equations could be used to solve for x in the triangle shown?

Mathematics

2 answers:

Ede4ka [16]3 years ago

7 0

Answer:

sin 37 = 13/x

Step-by-step explanation:

In any right angle triangle sine of an angle = Opposite side/Hypotenuse

From the given figure sin 37 = 13/x is the equation from which we can get the measurement of x.

sin 37 = 13/x

x = 13/sin 37 = 13/0.6018 = 21.60

erastovalidia [21]3 years ago

5 0

Sin ( theta ) = opposite / hypotenuse
sin ( 37° ) = 13 / x

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Find the area of the following shape. You must show all work to receive credit A (-4, 0), B(0, 4), C(2, 2), D(1,0)

natulia [17]

9514 1404 393

Answer:

13 square units

Step-by-step explanation:

See the attached figure.

The horizontal dashed line divides the figure into two pieces:

a triangle 4 wide and 2 high
a trapezoid 2 high with bases 5 and 4

The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.

A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units

A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units

The area of the shape is ...

(4 +9) square units = 13 square units

7 0

3 years ago

PLZ HELP WILL GIVE BRAINLY IF CORRECT

pochemuha

Answer:

1000 MM is the greatest

Step-by-step explanation:

1000 MM to CM = 100

9.7 CM and 4.7 CM are too small, therefore, we ignore them..

450 MM to CM is 45, therefore 1000 MM is the greater length

3 0

3 years ago

Read 2 more answers

3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|

son4ous [18]

Answer:

$y=\frac{5}{4}x+\frac{15}{4}$

Step-by-step explanation:

x | y

-------

1 5

5 10

9 15

13 20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1 , 5)

-( 5 , 10)

----------------

-4 -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter. I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4 +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

$y=\frac{5}{4}x+\frac{15}{4}$

4 0

3 years ago

Read 2 more answers

pentagon [3]

Answer:

48 grams

Step-by-step explanation:

pretzels : peanuts : cheese sticks

8 : 5 : 1

64 g : ? g : ? g

grams of peanuts = 5*64 / 8 = 40 g

grams of cheese sticks = 64*1 /8 = 8 g

<u>grams of peanuts and cheese sticks</u> = 40 + 8 = 48 grams

5 0

3 years ago

I AM BEGGING, PLEASE HELP ME. CAN SOMEONE PLEASE HELP ME!

Temka [501]

Answer:

37.5

Step-by-step explanation:

180-75 = 105

180 is the sum of all the angle in a triangle

180-105 = 75

75/2 = x becuz the triangle is icoceles

=37/5

Hope this helps :) Giving me brainiest would help a lot :))

8 0

2 years ago