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Cerrena [4.2K]
3 years ago
5

Solve the equation (y x y or y squared) y^2 –9y + 14 = 0

Mathematics
1 answer:
stepladder [879]3 years ago
6 0
What 2 numbers multiply to 14 and add to -9?
-7 and -2
(y-7)(y-2)=0
set to zero

y-7=0
y=7

y-2=0
y=2

y=2 or 7
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Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.
vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152

To find the area of the circumscribed circle:

r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

AC=\sqrt{10.152^2-8^2}\approx 6.25

The area of the triangle is:

A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25

The semiperimeter of the triangle is:

\dfrac{10.152+6.25+8}{2}\approx 24.4

The radius of the circle is therefore \dfrac{25}{24.4}\approx 1.025

The area of the inscribed circle then is \pi\cdot (1.025)^2\approx 3.298.

Hope this helps!

6 0
3 years ago
Paula rows 6 miles upstream in 3 hours she returns downstream in 2 hours. Which is the rate Paula rows in still water? What is t
KiRa [710]

Answer:

Upstream - 2 miles per hour

Downstream - 3 miles per hour

Step-by-step explanation:

For the speed upstream, the answer would be 2 miles per hour (mph), because 6÷3=2.

For the speed downstream, the answer would be 3 miles per hour (mph), because 6÷2=3.

Both answers come in similar methods. Hope this helps you!

If you don't mind, please mark my answer brainliest!

8 0
3 years ago
Read 2 more answers
19+4n<br><br> But "n=4"<br><br> IF YOU DON'T EXPLAIN OR PUT A FAKE ANSWER YOU WILL BE REPORTED
salantis [7]
Sub the number in
19 + 4(4)
= 19 + 16
= 35
multiplication is first because of bedmas
8 0
3 years ago
Read 2 more answers
Using the formula C=2TTr, find the circumference of a circle with a diameter of 28 in. round your answer to the nearest inch
slava [35]

radius = diameter/2

so 28/2=14

 using 3.14 for PI

2*3.14*14 = 87.92 = 88 inches

3 0
3 years ago
Read 2 more answers
Please help will give brainliest
Gelneren [198K]

Answer:

B

Step-by-step explanation:

It is B because to find the volume you multiply all three values together, which gets you 68.448. I multiplied 9.2x3.1, which got me 28.52, and then I multiplied 28.52 by 2.4 which got me 68.448.

6 0
3 years ago
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