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makkiz [27]
3 years ago
6

The sum of -4 and -15 increased by 17

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

- 2

Step-by-step explanation:

The sum of - 4 and - 15 = - 19

Increased by 17 means to add on 17 to the above result, that is

- 19 + 17 = - 2

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PLEASE PLEASE HELP!! Sketch a triangle and label correctly. Work must be shown for this problem. Round answers to the nearest hu
torisob [31]

Answer:

Please see attached image for the sketch with the labels.

Length "x" of the ramp = 11.70 ft

Step-by-step explanation:

Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (20^o), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.

For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:

sin(20^o)=\frac{opposite}{hypotenuse}\\ sin(20^o)=\frac{4}{x} \\x=\frac{4}{sin(20^o)} \\x=11.695\,\,ft

Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft

5 0
3 years ago
Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of sh
Zolol [24]

Answer:

$245


Step-by-step explanation:

Orignal price for shirt was 105

Original price for shoe sizes was 140

105+140=245

4 0
4 years ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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3 years ago
Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
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