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Gnom [1K]
2 years ago
5

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between

the landmarks in degrees.
What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.

A. 32.5 m
B. 42.1 m
C. 85.1 m
D. 98.5 m

Mathematics
2 answers:
LenKa [72]2 years ago
8 0

Answer:

The correct answer is 98.5 m, or D.

I just took the test and got it correct.

KonstantinChe [14]2 years ago
4 0
X² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)x² = 55² + 65² - 2[(55)(65)] cos(110°)x² = 3025 + 4225 -7150[cos(110°)]x² = 7250 - 2445.44x = √4804.56x = 69.31m
∴The distance, x, between two landmarks is 69.31m

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The area of the triangle shown is 40.0 cm2.
kompoz [17]

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

80cm / 12.5cm = h

h = 6.4cm

The height of the triangle is 12.5cm

4 0
1 year ago
A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Black would take 8 days and Blue 12 days. Aft
AleksAgata [21]
You can start with the equation of
(1/6)x8+(1/8)x6+(1/12)x X=3

Multiply by common denominator of 24 to get
32+18+2x=72

Simplify it we get
50+2x=72

Eliminate using algebra (because it’s add 50 take away the 50 on both sides)
2x=22

Because it’s X2 divide by 2 on both sides
x=11
It will take 11 days


6 0
2 years ago
1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880
zzz [600]

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

Remember that

1\ ft=12\ in

we have

r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft

assume

\pi =3.14

substitute

V=(3.14)(6)^{2}(\frac{13}{6})

V=244.92\ ft^3

Compare with 251 cubic feet

244.92\ ft^3 < 251\ ft^3

therefore

Yes, the water tank is about 245 cubic feet too small

8 0
2 years ago
A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
tatuchka [14]

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

8 0
2 years ago
Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive
Tasya [4]

Answer:

4. A) \displaystyle x + 4 ≥ 7

3. A) \displaystyle x + 650 ≥ 1500; x ≥ 850

2. D) \displaystyle 0,95(9) + 1,25b ≤ 25

1. C) \displaystyle 8x + 45 < 12x + 5

Step-by-step explanation:

4. Two families combined have <em>at</em><em> </em><em>least</em><em> </em>3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords <em>at</em><em> </em><em>least</em><em> </em>$1500<em> </em>mean <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>$1500.

2. Find the correspondents, then determine what inequality to use. In this case, you will use <em>less than</em><em> </em><em>or equal</em><em> </em><em>to</em><em> </em>because overpaying is UNNECESSARY.

1. <em>Eight</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>and <em>twelve</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>is <em>12x</em><em> </em>and <em>8x</em>.<em> </em>The rest is straightforward simple because you now have your <em>initial</em><em> </em><em>costs</em><em> </em>of <em>$</em><em>45</em><em> </em>and <em>$</em><em>5</em>,<em> </em>and the exercise tells you that the total charge for Company A is <em>less than</em> the total charge for Company B, therefore you have your answer.

I am joyous to assist you anytime.

3 0
2 years ago
Read 2 more answers
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