All categories

3 years ago

A triangle has side lengths of 36 in, 27in, and 61 in. Classify it as acute, obtuse, or right.

1 answer:

7 0

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61 1,296, 729, 3,721 2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025

3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side² Acute Triangleif sum = 3rd side² Right Triangleif sum < 3rd side² Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm

You might be interested in

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

$P=\frac{1}{10}x(300-x)$

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

$1610=\frac{1}{10}x(300-x)$

Multiply both sides by 10

$1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10$

$16100=x\left(300-x\right)$

$16100=300x-x^2$

$-x^2+300x-16100=0$

now, we can factor it

$(x-70)(x-230)=0$

we can solve for x

and we get

$x=70,x=230$

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

7 0

3 years ago

Can someone help me

garri49 [273]

Answer:

C. 13,248 square units

Step-by-step explanation:

You gotta find measure of bottom leg of the triangle which 92

Then add that to 100

92 + 100 = 192

You multiply 192 by 69

192 x 69 = 13248

7 0

3 years ago

Help meeee i need this right now!!!! 2+2÷( <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B72%7D%20" id="TexFormula1" titl

Andre45 [30]

Answer:

$\frac{1}{3} \sqrt{2}$ or 0.471405

Step-by-step explanation:

$\frac{(2)(2)}{\sqrt{72} }$

8 0

3 years ago

Fill in the other coordinate for the line y=23x+3 y = 2 3 x + 3 : (3, )

Igoryamba

23(3) + 3

= 72

Why do you write 2 equations?

5 0

3 years ago

Read 2 more answers

What is the solution to log (10x-1)= logs(9x+ 7)?

Xelga [282]

Answer:

$x=8$

Step-by-step explanation:

$\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\$

5 0

3 years ago