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Eddi Din [679]
3 years ago
13

What is the solution to the following system of equations?

Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0
-x^2 - 5x - 4 = -x^2 + 9x - 18
-5x - 9x = -18 + 4
-14x = -14
x = -14/-14
x = 1 <====

y = -x^2 - 5x - 4
y = (-1^2) - 5(1) - 4
y = 1 - 5 - 4
y = 1 - 9
y = -8 <====
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a boat builer wamts to make a modle of a schooner, a type of sailboatwith at least two masts. the schooner is 34 meters in lengt
BlackZzzverrR [31]
First you should set up fractions equal to each other to see the size ratio

8/34 = x/1.2

As to make comparable fractions. Then you would cross multiply in order to get
34x = 9.6
Divide both sides by 34 and you should get an answer of 0.28m for the model beam.
6 0
3 years ago
How do I find the volume of this?​
lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0
3 years ago
While standing on top of a hill at a ski resort, Alexa Latour spots the ski lodge below. If the vertical height of the hill is 1
alexira [117]

Answer: The distance to the lodge is 1514 ft

Step-by-step explanation: Please refer to the diagram attached.

The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.

Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as

Cos A = Adjacent/Hypotenuse

Cos A = AB/AC

Cos 37 = 1209/X

By cross multiplication we now have X = 1209/Cos 37

By using our calculator or checking the table of values, Cos 37 = 0.7986

X = 1209/0.7986

X = 1513.899

Approximated to the nearest feet,

X = 1514 ft

8 0
3 years ago
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302. Using th
Softa [21]

Answer:

17.922

Step-by-step explanation:

first you plug it in

y=0.860(17) + 3.302

then u simplify

y=14.62+3.302

then add them

y=17.922

3 0
3 years ago
Can someone plz help me with this question
Karo-lina-s [1.5K]
Answers are A and E, this is because you can do 3:12 x 4 = 12:48 and 3:12/4 = 1:4 therefore they are all equal values
5 0
3 years ago
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