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CaHeK987 [17]
3 years ago
11

Solve for y given that this is a right triangle. Simplify answers completely. No decimals.

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

y = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

y² = 8² + 4² = 64 + 16 = 80 ( take the square root of both sides )

y = \sqrt{80} = \sqrt{16(5)} = 4\sqrt{5} ← exact value

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What is the equation of a line that passes through (4,  3) and has a slope of 2? y=2x−11 y=2x−7 y=2x−1 y=2x−5
LenaWriter [7]

Step-by-step explanation:

The coefficient of the x term repesents the slope of the graph.

So we have y = 2x +- ( ).

We have to find our number term, so let's substitute x = 4 and y = 3.

(3) = 2(4) +- ( )

3 = 8 +- ( )

To make this right, the number term must be -5.

3 = 8 - 5

So the equation is y = 2x - 5.

8 0
3 years ago
Read 2 more answers
In 2009 there was an endangered population of 270 cranes in a western state. Due to wildlife efforts, the population is increasi
Vitek1552 [10]
Assuming compount interest format

A=P(r+1)^t for compounded per 1 year
A=future amount
P=present amount
r=rate in decimal
t=time in years


given
P=270
r=5%=0.05

the equaton is
A=270(0.05+1)^t or
A=270(1.05)^t
for any year, 2009, is year 0, so if you wanted to input the year then
A=270(1.05)^{t-2009} would be for t=what year it was

A. f(x)=270(1.05)^t


b. 2009 to 2020
2020-2009=11 years
t=11
f(11)=270(1.05)^{11}
f(11)=461.792
about 462 cranes


A. f(x)=270(1.05)^t
B. about 462
8 0
3 years ago
Martin is cleaning the tires of his bicycle. He notices that his bicycle tire has a radius of 8 inches. How much bigger is the a
algol [13]

Strange question, as normally we would not calculate the "area of the tire." A tire has a cross-sectional area, true, but we don't know the outside radius of the tire when it's mounted on the wheel.

We could certainly calculate the area of a circle with radius 8 inches; it's

A = πr^2, or (here) A = π (8 in)^2 = 64π in^2.

The circumference of the wheel (of radius 8 in) is C = 2π*r, or 16π in.

The numerical difference between 64π and 16π is 48π; this makes no sense because we cannot compare area (in^2) to length (in).

If possible, discuss this situatio with your teacher.



8 0
3 years ago
Gregory saw that the answer to a problem in his friend’s textbook was 4+2i. This is an example of which type of number?
Katarina [22]
A complex number.
Complex number is:
a+bi

4 0
3 years ago
Read 2 more answers
BE is an angle bisector of ABE =2x+20 and mEBC=4x-6 determine m ABE
Mashcka [7]

Answer:

46°

Step-by-step explanation:

BE is the bisector so abe is the same as ebc

2x+20=4x-6

26=2x

13=x

so now plug x back into abe to find its measure

2(13)+20

26+20

46

5 0
3 years ago
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