MATHEMATICS HIGH SCHOOL

2. Solve for x. SHOW YOUR WORK.

Answers

Answer 1

Answer:

Answer:

x=9

Step-by-step explanation:

The two labelled angles are equal, so we can construct an equation. Then, we solve the equation for x.

$4x+2=7x-25\n2=3x-25\n3x=27\nx=9$

First, we subtract 4x from both sides. Next, we add 25 to both sides. Finally, we divide both sides by 3.

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The power generated by a wind turbine depends on the wind speed . The expression 800 v^3 gives the power in watts for a certain wind turbine at wind speed v in meters per second . If the wind speed triples , by what factor does the power generated by the wind turbine increase ? 2) Can you write the expression 49x^2y^2z^2 using only one exponent ? Show how or explain why not ?

Calculate the rate of power drainage per hour if the capacity of the cell phone is 3 600 mAh?

Answers

The rate οf pοwer drainage per hοur is 13.32 watts per hοur οr 13.32 Wh (watt-hοurs) per hοur.

What is the basic mathematical οperatiοns?

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Tο calculate the rate οf pοwer drainage per hοur, we need tο knοw the pοwer cοnsumptiοn οf the cell phοne. Let's assume that the pοwer cοnsumptiοn οf the phοne is cοnstant and equal tο P watts.

The capacity οf the cell phοne battery is 3,600 mAh, which means that it can supply a current οf 3,600 mA (milliampere) fοr οne hοur. Using Ohm's law, we can express the pοwer cοnsumptiοn in terms οf the current and vοltage:

P = I × V

where I is the current and V is the vοltage.

The vοltage οf a typical cell phοne battery is arοund 3.7 vοlts. Therefοre, the current drawn by the phοne is:

I = 3,600 mA = 3.6 A

t = 1 hοur

The pοwer cοnsumptiοn οf the phοne is:

P = I × V = 3.6 A × 3.7 V = 13.32 W

Hence, the rate οf pοwer drainage per hοur is 13.32 watts per hοur οr 13.32 Wh (watt-hοurs) per hοur.

To learn more about basic mathematical operations, Visit

brainly.com/question/20628271

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Fill in the blank to make the expression a perfect square.
v^2 - 18v + ?

Answers

Answer: (v - 9)^2 - 81

Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term to complete the square.

Hope this helps! :) ~Zane

Please Help! When Mario has to leave the house for a while, he tethers his mischievous puppy to the corner of a 12 ft-by-8 ft shed in the middle of his large backyard. The tether is 18 feet long. Which description fits the boundary of the locus of points in the yard that the puppy can reach?

A. semicircles of radii 18 ft, 10 ft, and 6 ft

B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

C. semicircles of radii 18 ft, 12 ft, and 8 ft

D. a three-quarter circle of radius 18 ft, quarter circles of radii 12 ft and 8 ft

Answers

Answer:

B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

Step-by-step explanation:

A diagram can be a useful aid to answering this question. At one corner of the shed, 8 ft of rope is no longer available, so the quarter circle has a radius of 18-8 = 10 ft. (That side of the shed is 12 ft, so the area is only a quarter circle.)

At the other corner of the shed, 12 ft of rope is no longer available, so the quarter circle has a radius of 18-12 = 6 ft. (That side of the shed is 8 ft, so the area is only a quarter circle.)

In the attached diagram, the 3/4 circle with radius 18 ft is shown red, and the quarter circles are shown in green.

A line and a point not on the line lie in exactly one plane. True False

Answers

True, they exist in exactly one plane

true it does line up.

4x-5=2(2x+1) find the x

Answers

First, do the distributive property: 4x-5=4x+2
This answer has no real solution. The term is no real numbers.

Hi Brainiac

4x-5=2(2x+1)

Distribute

4x-5= (2)(2x)+(2)(1)

4x-5=4x+2

Subtract 4x

4x-5-4x= 4x+2-4x

-5=2

Add 5

-5+5=2+5

0=7

There are no solutions

I hope that's help:0

LOOK, 25 POINTS Y'ALLthis is a logic-math combo question that was from my 5th grade math book (singapore math). just for fun. I never solved it on my own. MUST SHOW ALL WORK

there are 4 single digit whole numbers represented by A, B, C, D. They are all different numbers.

when you multiply ABCD with D, you get DCBA

solve for the values of A,B,C, and D

(note: if A=2,B=3,C=4,D=5 then ABCD=2,345, but that is not the solution)

Show all work and do not copy

Answers

To start, ABCD(D)=DCBA means that D×A=D because they're all single digit numbers and since nothing carries over to make DCBA a 5 digit number A must be 1. If A is 1 for ABCD(D)=DCBA that would mean D^2 is a number ending in 1 so the only possibility for D is 9. Since D is 9, D×B has to be less than 10 because we know nothing carries over to the D×A (9×1) so B has to be 0. So far we have 10*9(9)=9*01 and since D×D (9×9) is 81 we need a number divisible by 9 that ends with 2 to add to the 8 digit which the only possibility is 72 from 8×9. SO A=1, B=0, C=8, D=9
1089(9)=9801

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