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ASHA 777 [7]
3 years ago
15

Geometry; cosines/ Sines. Find the value of x and round to the nearest tenth. Include explanation. All bogus answers will be rep

orted

Mathematics
1 answer:
ipn [44]3 years ago
4 0

In this problem you only need to find the x value of one triangle. If you notice, this is a rectangle that has been cut in half by a diagonal into two equal right triangles. So both the top and bottom part are equal to 500 and both have an angle equal to 10 degrees.

Now looking at the problem, you would have to use tangent since 500 is adjacent and your X value is opposite.

Tan(10) = (X/500)

Now solve by multiplying each side by 500

X= Tan(10) 500 put this in a calculator

Answer is 88.2 degrees

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d1i1m1o1n [39]
Amount = P(1 + r/t)^nt = 2033.88(1 + 0.039/2)^(11 x 2) = 2033.88(1 + 0.0195)^22 = 2033.88(1.0195)^22 = 2033.88(1.5294) = $3110.60
3 0
3 years ago
a fundraiser raised $2400 , which was 3/5 of the goal . write an equation and solve it to find the goal
GuDViN [60]

First of all, 2400=0.6x is the equation

Now, we use cross multiplication

2400/1 = 3/5x

2400*5 = 3x

12,000 = 3x

12000/3= 4000

<u>The total fundraiser goal is $4,000.</u>

7 0
3 years ago
Solve for x. Round to the nearest tenth, if necessary.
e-lub [12.9K]

Answer:

\boxed {\boxed {\sf x \approx 1.9}}

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

  • sinθ= opposite/hypotenuse
  • cosθ= adjacent/hypotenuse
  • tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

sin \theta = \frac {opposite}{hypotenuse}

  • θ= 54
  • opposite= x
  • hypotenuse = 2.3

sin (54)= \frac{ x}{2.3}

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

2.3* sin (54)= \frac{x}{2.3}*2.3

2.3* sin (54)=x

2.3*0.8090169944=x

1.860739087 =x

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

1.9 \approx x

x is approximately <u>1.9</u>

7 0
3 years ago
Danielle takes her dog to be groomed. The fee to groom the dog is $75.00
AysviL [449]

Answer:

no, it won't be enough because you would need $80.06

Step-by-step explanation:

I just found 6.75% of 75 and added it on

5 0
3 years ago
Which expression is Equivalent to 1/2 (4m-2n+4)
jeka57 [31]

Answer:

-n + 2 m + 2

Step-by-step explanation:

Simplify the following:

(-2 n + 4 m + 4)/2

Factor 2 out of -2 n + 4 m + 4:

(2 (-n + 2 m + 2))/2

(2 (-n + 2 m + 2))/2 = 2/2×(-n + 2 m + 2) = -n + 2 m + 2:

Answer:  -n + 2 m + 2

5 0
2 years ago
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