MATHEMATICS HIGH SCHOOL

What is the area of the triangle bounded by the line 3x+2y=12 and the x- and y- axes?

Answers

Answer 1
Answer:

Answer:

12

Step-by-step explanation:

If x=0, then the y axis is 6

If y=0, then the x axis is 4

The base is 4 and the height is 6

4 x 6 / 2 = 12

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A set of data includes 101 data points ranging from 0 – 200. If the data is split into classes with a range of 20 (1 – 20, 21 – 40, etc), and there are no values that fall in the class 101 – 120, what can you say about the data?A.The mean of the data will not be between 101 and 120.B. All the data lies below 100.C. The relative frequency of the class 101 – 120 is 0.D. The median could be in the range 101 – 120.
The solution set for 12x2 − 13x + 3 = 0 is
Round off 17.2 to one significant figure
#2 What is the equation of the horizontal asymptote for the following exponential graph?
I think it's D...Which describes what President Rutherford B. Hayes and his administration were best known for? A. signed Sherman Antitrust Act B. impeached by Congress C. end of Reconstruction D. assassinated early in first term

The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?

Answers

In step 1, you found the volume (in cubic feet) of the main tank. If the maximum density of killer whales per cubic foot is 0.000011142, what is the maximum number of killer whales allowed in the main show tank at any given time? You must explain your answer using words, and you must show all work and calculations to receive credit.
density of whale * volume of main show tank


0.000011142* 179503.33=2
If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?
A sphere
The main tank has a radius of 70 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.

sphere sized tank:
4/3*3.14(70^3) = 1,436,026.67

Main tank:

1,436,026.67/4= 359,007 (rounded)
The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?
Mock up is 3x smaller
08.06 Module Eight Activity
The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
The stadium is in need of a medical pool to attend to injured or sick whales. The pool will be located adjacent to the holding tanks. Your job is to design a medical pool using a 3-dimensional polyhedral shape you learned about in this module. For safety reasons, the tank can be no more than one-fourth the volume of a holding tank. You will need to submit a 2-dimensional drawing, the dimensions, the volume of your pool, and proof that the pool's volume is no more than one-fourth the volume of a holding tank to your instructor.
84,780/4=21,195
V=3.14*r^2*h
3.14*9^2*72
3.14*5832
=18312 (rounded)
Using the same information from #5, what percent of change occurred from the actual tank to the mock-up of the tank?
21984.4% change
-When the salt decreased, so did the density of the water

-you need to add the amount of salt that the water needs in order to get the water back to normal, then observe the whale's behavior
V=3.14r^2h
3.14 *15^2* 120
706.5*120
=84780 for both tanks because the tanks are half of a cylinder. 

...one tank is 42,390
What do you think?

Help geometry will give brainliest

Answers

The distance from the owl to the squirrel would be found by using the law of sins/co-sins

Cos (known angle) = adjacent leg / hypotenuse ( distance wanted)

cos(50) = 14 / x

x = 14 / cos50

x = 21.78 feet

 The problem doesn't say if the answer should be rounded or not. You may have to round the answer if needed.
The angle of depression is congruent to your angle of elevation (the squirrel's line of sight. These are opposite angles. You use SOH CAH TOA to find the missing information because this forms a right triangle. SO you are really trying to solve for the hypotenuse here. 
You are given the  "side" opposite the angle. souse the SOH part Sine=opposite/hypotenuse
so when you plug in the information you get this equation:
sin(50)=14/x
divide both sides by sin(50) and you should get 
a hypotenuse of approx. 18.3

Rewrite 2 4/5 as an improper fraction​

Answers

The 2 4/5  rewritten as the improper fraction 14/5.

To rewrite 2 4/5 as an improper fraction, to convert the mixed number to a fraction.

First, multiply the whole number (2) by the denominator of the fraction (5) and add the numerator (4).

2 × 5 + 4 = 10 + 4 = 14

Next, write the sum as the numerator and keep the denominator unchanged:

14/5

To know more about fraction here

brainly.com/question/10354322

#SPJ6

Answer:

14/5

Step-by-step explanation:

multiply 5 by 2 then the answer of the is added to the numerator which would equal 14 the put 14 on top of 5

XYZ is a right angle triangle.XY = 5cm
Angle Z = 32°

Calculate angle YZ.

Answers

We are given the measurement of XY which is 5cm. This is the opposite since it is opposite of the angle given. The angle is 32 degrees. Since this is a right triangle there is a simple relationship between sides and angle. In this case since we are to find YZ or the hypotenuse we are given the relationship sin(\alpha)=opposite/hypotenuse. Then the answer would be 9.44 cm. 

Divide 7/24 by 35/48 and reduce to lowest fraction

Answers

To divide fractions you multiply the reciprocal of the divisor.

7/24 ÷ 35/48 =
7/24 × 48/35 =
336/840

Now we have to reduce...

336/840 = 168/420 = 84/210 = 42/105 = 6/15 = 2/5

Answer is 2/5

12 more than the quotient of a number and eight

Answers

Answer:

X÷8+12 is how this would look

Answer:

x/8 + 12

Step-by-step explanation:
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