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____ [38]
3 years ago
6

Solve for x with 45 degree angle & 60ft side

Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

x = 84.85281374 ft

Step-by-step explanation:

We know that sin theta = opposite/ hypotenuse

sin 45 = 60/x

Multiply each side by x

x * sin45 = 60/x*x

x sin 45 = 60

Divide each side by sin 45

x = 60/sin 45

x = 84.85281374 ft

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Kedir bout 200 eggs for Birr 50 Birr and sells them for Birr 0.30 each.
ella [17]

Answer:

Yes, Kedir made profit.

Step-by-step explanation:

0.30 x 200 = 60 Birr

60 Birr is more than 50 Birr

He made profit of 10Birr, which is 20% of 50 Birr

8 0
2 years ago
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2
Gemiola [76]
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
a = b = c \div  \sqrt{2} \\ c  = a\sqrt{2}  \\ c = 6 \sqrt{2} \times \sqrt{2}  = 6 \times 2 = 12
Another way to do it is the longer proof of Pythagorean Theorem:
{c}^{2}  =  {a}^{2}  +  {b}^{2}... \:  \:  c =   \sqrt{({a}^{2}  +  {b}^{2})}  \\
c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}}  \\ =  \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )}  =  \sqrt{2(36 \times 2)}  \\ c =  \sqrt{144}  = 12

7 0
3 years ago
How to find the equation?
bixtya [17]

Answer:

y = 2x + 60

Step-by-step explanation:

Use the equation for a line: y = mx + b

Where

x and y are points on the graph

and m is the slope, and can be found by finding \frac{rise}{run}


so the slope is 10/5 or 2, since the graph goes up by 10 and over by 5.

so plug into the equation, and you get y = 2x + b

Next, pick a point on the graph, and plug in the x and y coordinates,

for example:

(x,y) = (5,70)

so, 70 = 2(5) + b

then solve for b

60 = b

Then rewrite the equation

y = 2x + 60

4 0
3 years ago
Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals ar
SOVA2 [1]

Answer: 960

Step-by-step explanation:

5 0
3 years ago
A and B are independent events if...
OlgaM077 [116]

Answer:

(C) The probability of buying bread and cheese is 0.12

Step-by-step explanation:

P(Event A) = 0.6

P(Event B) = 0.2

If Event A and Event B are independent,

Then P(Event A and Event B) = 0.6 x 0.2 = 0.12

7 0
3 years ago
Read 2 more answers
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