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borishaifa [10]
3 years ago
5

a line in the coordinate plane has an angle of elevation of 53 degrees. Find the slope of the line correct to four decimal place

s.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0
Let's make a reference triangle with the x and y axes as the legs of the right triangle. The hypotenuse is the slope where the angle of elevation is based. Given an angle of elevation of 53 degrees, the remaining angle is 37 degrees. Use sine law to calculate for the hypotenuse:

(sin 53/x) = (sin 37/y) = (sin 90/z)

solve for x, y and z. The slope is y/x
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Answer:

I think a is correct answer.

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3 years ago
Ella has $115. She wants to purchase a cell phone for $53 and spend the rest on music. Each music album costs $9. Write and solv
lana [24]
53 + 9x < 115
THE LESS THAN SYMBOL SHOULD HAVE A LINE UNDER IT!
3 0
3 years ago
Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

x+2y=8                      ......[2]

we can rewrite equation [2] as;

x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
Read 2 more answers
This is what I've done so far but does anyone know what I do next or did I make a mistake
grigory [225]
Remmeber, you can do anything to an equation as long as you do it to both sides

for inequalities, if you multiply or divide both sides by a negive, flip the direction of the inequality sign

pemdas always applies
but also the commutative property and assiociative property

so
2(5y+13)-6<20
add 6 both sides
2(5y+13)<26
divide both sides by 2 (easier that distributing)
5y+13<13
minus 13 both sides
5y<0
y<0 is the solution
7 0
4 years ago
Need help ASAP please
Kay [80]

Answer:

because the length is 4 feet more than the width

=> the length is x + 4 (feet)

because the base has an area of 21 square feet

=> x(x + 4) = 21

<=> x² + 4x = 21

3 0
3 years ago
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