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joja [24]
3 years ago
15

Find a number whose sum is 36 and their difference is 10 what are the numbers and its calculation​

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

23 and 13

Step-by-step explanation:

x+y=36 and x-y=10. Solve to get x=23 and y=13.

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Helpppp :(((( 75 points and brainliest!!!! for good answers only
Mamont248 [21]

option B

Cos theta is positive and sin theta is negative in quadrant IV

Cos \ \theta =\dfrac{4}{5}=\dfrac{adjacent \ side}{hypotenuse}

We have to find opposite side using Pythagorean theorem.

x² + 4² = 5²

x² + 16 = 25

       x² = 25- 16

       x² = 9

       \sf x =\sqrt{9}\\\\x = 3

\sf \ sin \ \theta =\dfrac{opposite \ side}{hypotenuse}\\Sin \  \theta =\dfrac{-3}{5}

5 0
2 years ago
From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67 degrees. Estimat
Nataliya [291]
A diagram would surely help here.  But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet.  Call this point B.
 
Imagine a vertical line from that spot, straight up.  Label the top of this line C.

The acute angle at A is 67 degrees.  You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.

We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.

We choose the tangent function to solve for the height of the building (which is the length of the opposite side. 

                                                                         height
By definition, tangent (67 degrees) = -------------------------------------
                                                                       42 feet

Find tan 67.  Multiply your result by 42 feet.  This product is the height of the building.
7 0
4 years ago
A line through the points $(2, -9)$ and $(j, 17)$ is parallel to the line $2x + 3y = 21$. What is the value of $j$?
lys-0071 [83]

Answer:

j=-37

Step-by-step explanation:

step 1

Find the slope of the given line

we have

2x+3y=21

Convert to slope intercept form

Isolate the variable y

subtract 2x both sides

3y=-2x+21

divide by 3 both sides

y=-\frac{2}{3}x+7

The slope is

m=-\frac{2}{3}

step 2

we have the points

(2,-9) and (j,17)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{17+9}{j-2}

m=\frac{26}{j-2}

Remember that

If two lines are parallel then their slope are equal

therefore

\frac{26}{j-2}=-\frac{2}{3}

26(3)=-2(j-2)\\78=-2j+4\\2j=4-78\\2j=-74\\j=-37

7 0
3 years ago
Solve for x: 2x−7=5x+8
kiruha [24]
The answer is to this question is :
x=-5
4 0
3 years ago
Read 2 more answers
Is this a true statement X^2=1 if and only if x=1 or x=-1
Stells [14]

Answer:

yes the statement is true

Step-by-step explanation:

if you plug in 1^2 you are just multiplying 1 by its self

4 0
3 years ago
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