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Svet_ta [14]
3 years ago
14

A line includes the points (-7, -3) and (10, -6). What is it’s equation in slope-intercept form?

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0
7,3 and 10,6 put them together
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Brennan has already run 16 miles on his own, and he expects to run 3 miles during each track practice. How many track practices
pentagon [3]

Answer:

It would take Brennan 4 track practice runs.

Step-by-step explanation:

He has already run 16 miles and needs to run 28 in total. If we are counting the 16 in the 28 miles, he would need to run only 12 more to reach his goal. And if he runs 3 miles a run, it would take him about 4 runs to finish his 28-mile goal.

(28-16=12 and 12/3=4)

8 0
3 years ago
Read 2 more answers
One of the tallest buildings in a country is topped by a high antenna. The angle of elevation from the position of a surveyor on
irina1246 [14]

Answer:

a. distance of the surveyor to the base of the building = 2051.90 ft

b. height of the building = 1384 ft

c. Angle of elevation from the surveyor to the top of the antenna = 38.31°

d. Height of antenna  =  237.08 ft

Step-by-step explanation:

​The picture above is a illustration of the described event.

a = the height of the flag

b = the height of the building

c = distance of the surveyor from the base of the building

the angle of elevation from the position of the surveyor on the ground to the top of the building = 34°  

distance from her position to the top of the building  = 2475 ft

distance from her position to the top of the flag  = 2615 ft

​(a) How far away from the base of the building is the surveyor​ located?​

using the SOHCAHTOA principle

cos 34° = c/2475

c =  0.8290375726  × 2475

c = 2051.8679921

c = 2051.90 ft

(b) How tall is the​ building

The height of the building = b

sin 34° = opposite /hypotenuse

0.5591929035 = b/2475

b =  0.5591929035  × 2475

b =  1384.0024361

b =  1384.00 ft

​(c) What is the angle of elevation from the surveyor to the top of the​ antenna?

let the angle = ∅

cos ∅ = adjacent/hypotenuse

cos ∅ = 2051.90/2615

cos ∅ =  0.784665392

∅ = cos-1  0.784665392

∅ =   38.310258303

∅ =  38.31°

​(d) How tall is the​ antenna?

height of the antenna = a

sin 38.31° = opposite/hypotenuse

sin 38.31° = (a + b)/2615

sin 38.31° × 2615 = (a + b)

(a + b) =  0.6199159917  × 2615

(a + b) =  1621.0803182

(a + b) = 1621. 08 ft

Height of antenna = 1621. 08 - 1384.00  =  237.08031822 ft

Height of antenna  =  237.08 ft

8 0
3 years ago
Work out the lengh of RS <br> gue your answer to 3 significant figures
atroni [7]

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Calculate RS using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)

RS = \sqrt{(2+3)^2+(4-1)^2}

     = \sqrt{5^2+3^2}

     = \sqrt{25+9}

     = \sqrt{34} ≈ 5.83 ( to 3 significant figures )

8 0
3 years ago
20 points Help Of the 30 girls who tried out for the basketball team at SMS, 12 were
Kisachek [45]

Answer:

yes

Step-by-step explanation:

Girls:

12 girls out of 30

12/30

Divide the top and bottom by 6

2/5

Boys

16 out of 40

Divide the top and bottom by 8

2/5

8 0
2 years ago
Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge
nignag [31]

Answer:

To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Step-by-step explanation:

Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:

Will's shop:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\

We can isolate "x" on the second equation, we have:

x = \frac{570 - 11y}{7}

Applying this value on the first equation:

12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20

Applying the value of "y" we found on the "x" equation above, we have:x = \frac{570 - 11*20}{7}\\x = 50\\

Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

7 0
3 years ago
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