X^2 + 4.7^2 = 13.4^2

Answers

Answer 1

Answer:

[tex]x = - \: 12.55 \: or \: x = 12.55[/tex]

Step-by-step explanation:

We want to solve for x in

[tex] {x}^{2} + 4.7^{2} = 13.4^{2} [/tex]

We group constants on the right to get:

[tex]{x}^{2} = 13.4^{2} - {4.7}^{2} [/tex]

We apply difference of two squares

[tex]{x}^{2} = (13.4 - {4.7})(13.4 + 4.7)[/tex]

[tex] {x}^{2} = 157.47[/tex]

[tex]x = \pm \sqrt{157.47} [/tex]

[tex]x = \pm \: 12.55[/tex]


Related Questions

Find the exact area of the region bounded by two concentric circles with radli 10 inches and 6 Inches.
16pi
64pi
88pi

Answers

For this case we have that by definition, the area of a circle is given by:

[tex]A = \pi * r ^ 2[/tex]

Where:

r: It is the radius of the circle

Circle 1:

[tex]A_ {1} = \pi * (10) ^ 2 = 100 \pi \ in ^ 2[/tex]

Circle 2:

[tex]A_ {2} = \pi * (6)^2 = 36 \pi \ in ^ 2[/tex]

Thus, the area of the region bounded is given by:

[tex]A = 100 \pi-36 \pi = 64 \pi \ in ^ 2[/tex]

Answer:

[tex]64 \pi \ in ^ 2[/tex]

Option B

Mike is painting a backdrop for the school play. The rectangular backdrop is 60 inches by 48 inches. If his container of paint can cover 250 square feet, does he have enough paint to cover the backdrop?

Answers

Answer:

Yes 240sq ft is only required.

Step-by-step explanation:

60 x 48 =2880 inch square

We convert to feet 1 ft = 12 inches

2880/12 = 240sq ft

What are the zeros of the quadratic function shown on the graph?
A) 3 and 2
B) −3 and 2
C) 3 and −2
D) −3 and −2

Answers

D) -3 and -2 this it

To "know your audience," you should identify what they
a. Need to know
c. Are interested in
b. Want to know
d. All of these
Please select the best answer from the choices provided

Answers

I think the answer is D but I hope I’m right? Sorry if I’m wrong

An answer is an option (D)  for all of these.

"Know your audience" and Why is it important to know your audience?

Knowing your audience helps you figure out what content and messages people care about.

To "know your audience," you should identify what are ?

a. Need to know

c. Are interested in

b. Want to know

d. all of these

hence the answer is all of these.

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Area of circles

Susan designed a circular pool with a diameter of 25 meters. what is the area of the bottom of the pool? round to rhe nearest tenth.

Answers

Answer:

Area is 491.07m to the nearest tenth

Step-by-step explanation:

Answer

Circe area: Pi • 25^2= 1936, 49= 1936,5

In an apartment building, 45% of
the families have pets. If 27 families
have pets, how many families live in
the building?

Answers

Answer:

60 people

Step-by-step explanation:

27/.45=60

Assessment started: undefined. Item 1 Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89. How much money does Rosa spend altogether? Enter your answer in the box

Answers

Answer:

8.68?

Step-by-step explanation:

adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend

Answer:

The answer is 8.64

Step-by-step explanation:

It is decimals not actually cash so there is no tax, Plus I took the K-12 test and got it right!


Two angles are vertical angles. One angle
measure is 68. What is the measure of
the other angle?
A. 22°
B. 68°
C. 90°
D. 112

Answers

Final answer:

In the context of geometry, vertical angles are always congruent, which means they have the same measure. If one of the vertical angles measures 68°, the measure of the other angle is also 68°. Therefore, the correct answer is B. 68°.

Explanation:

The question is asking for the measure of the second angle, given that two angles are vertical angles and one of them measures 68°. In terms of geometry, vertical angles are the angles that are opposite each other when two lines intersect. An important property of vertical angles is that they are always congruent, which means they have the same measure. So, if one of the vertical angles is 68°, the other angle is also 68°. Hence, the correct answer is B. 68°.

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Since vertical angles are always congruent, the measure of the other angle is also 68°.

The question involves identifying the measure of the other angle when two angles are vertical angles. Vertical angles are angles that are opposite each other when two lines intersect. They are always equal to each other in measure.

Given that one angle measures 68°, the other angle, being a vertical angle, will also measure 68°.

Therefore, the correct answer is: B. 68°

5/4623
Please I need answers as soon

Answers

Answer: 0.00108154877

Step-by-step explanation:

The division [tex]\frac{5}{4623}[/tex] results in the simple decimal 0.001081603. This expression is already reduced to the most basic fraction form of itself.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Given the expression [tex]\frac{5}{4623}[/tex] ,

[tex]\frac{5}{4623}[/tex] = 5 [tex]\div[/tex] 4623 = 0.001081603.

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A square has a perimeter of 32 inches what the length and width of the square

Answers

The length and width of square is 8 inches.

Step-by-step explanation:

Given,

Perimeter of square = 32 inches

We know that all sides of square are equal, therefore,

Length = width = s

Perimeter of square = 4s

[tex]32=4s\\4s=32[/tex]

Dividing both sides by 4

[tex]\frac{4s}{4}=\frac{32}{4}\\s=8[/tex]

Therefore,

The length and width of square is 8 inches.

Final answer:

The length and width of the square are each 8 inches, calculated by dividing the given perimeter of 32 inches by the number of sides of a square, which is 4.

Explanation:

To find the length and width of a square given its perimeter, we need to recall that all four sides of a square are of equal length. Since the perimeter of the square is 32 inches, we divide this number by 4 to find the length of one side. So, the length and width of the square are:

32 inches ÷ 4 = 8 inches.

Therefore, each side of the square is 8 inches long.

A spinner has 6 equal sections : purple,yellow,blue,green,orange,and red. What is the probability of landing on a section that is NOT orange (in fraction form)

Answers

Answer: 5/6.

Since there are 6 sections, and 5 are not orange, the chances of you landing on a section that isn’t orange is 5/6.

What is the value of 10^3 x 0.006?

Answers

Answer:

6

Step-by-step explanation:

10^3 = 1000

1000 x 0.006 = 6

Which statements are true when verifying the solution set of |6-x/3|>18 as x <-36 or x > 72?

Answers

Since, you have not mentioned the statements, but I am solving the expression as well as verifying which anyways may be able to make you understand the concept.

Answer:

Both [tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex] are the True solutions.

Step-by-step explanation:

Considering the expression

[tex]\left|6-\frac{x}{3}\right|>18[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a[/tex]

[tex]6-\frac{x}{3}<-18\quad \mathrm{or}\quad \:6-\frac{x}{3}>18[/tex]

solving

[tex]6-\frac{x}{3}<-18[/tex]

[tex]6-\frac{x}{3}-6<-18-6[/tex]

[tex]-\frac{x}{3}<-24[/tex]

[tex]3\left(-\frac{x}{3}\right)<3\left(-24\right)[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-x\right)\left(-1\right)>\left(-72\right)\left(-1\right)[/tex]

[tex]x>72[/tex]

also solving

[tex]6-\frac{x}{3}>18[/tex]

[tex]6-\frac{x}{3}-6>18-6[/tex]

[tex]-\frac{x}{3}>12[/tex]

[tex]-x>36[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-x\right)\left(-1\right)<36\left(-1\right)[/tex]

[tex]x<-36[/tex]

[tex]\mathrm{Combine\:the\:intervals}[/tex]

[tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex]

Verifying the solution:

Putting the value x < -36 in [tex]\left|6-\frac{x}{3}\right|>18[/tex]

let suppose x = -37 which is < -36

[tex]\left|6-\frac{x}{3}\right|>18[/tex]

[tex]\left|6-\frac{\left(-37\right)}{3}\right|>18[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=\left|6+\frac{37}{3}\right|[/tex]

[tex]=\left|\frac{55}{3}\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]

[tex]\frac{55}{3}>18[/tex]

[tex]\mathrm{Therefore,\:the\:solution\:is}[/tex]

[tex]\mathrm{True}[/tex]

also putting the value x > 72

let suppose x = 73 which is > 72

[tex]|6-\frac{\left(73\right)}{3}|>\:18[/tex]

[tex]=\left|-\frac{55}{3}\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]

[tex]=\frac{55}{3}[/tex]

[tex]\frac{55}{3}>18[/tex]

[tex]\mathrm{Therefore,\:the\:solution\:is}[/tex]

[tex]\mathrm{True}[/tex]

So, both [tex]x<-36\quad \mathrm{or}\quad \:x>72[/tex] are the True solutions.

Answer: 2, 3, 4, & 6.

Step-by-step explanation: edge 2021

in a equation like 81x^3 +9x^2+3x what would I do to the exponents. And also please solve.

Answers

Answer:

3x(27x^2+3x+1)

Step-by-step explanation:

ayou take out the GCF-greatest common factor and then factor it

Answer:

(3x + 1)2 • (3x - 1)2

Step-by-step explanation:

Which numbers are represented by points on the following number line?

Answers

Answer:

-7, -2, 1, 6

Step-by-step explanation:

The points that are on the number line are:  -7, -2, 1, 6

Answer: -7, -2, 1, 6

Answer:

-7, -2, 1, 6

Step-by-step explanation:

what is the missing cotangent data (cot) in the picture?

Answers

Step-by-step explanation:

Look at the picture.

Hmm.... If the angle θ is correctly marked on your photo, then your solution is incorrect.

You write the function values ​​but for the angle 180° - θ.

[tex]\sin(180^o-\theta)=\sin\theta\\\cos(180^o-\theta)=-\cos\theta\\\tan(180^o-\theta)=-\tan\theta\\\cot(180^o-\theta)=-\cot\theta[/tex]

Therefore

for

[tex]x=-7,\ y=24,\ r=\sqrt{(-7)^2+24^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]

Let θ be this angle in your picture.

[tex]\sin\theta=\dfrac{24}{25}\\\\\cos\theta=-\dfrac{-7}{25}=\dfrac{7}{25}\\\\\tan\theta=-\dfrac{24}{-7}=\dfrac{24}{7}\\\\\cot\theta=-\dfrac{-7}{24}=\dfrac{7}{24}\\\\\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{7}{25}}=\dfrac{25}{7}\\\\\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{24}{25}}=\dfrac{25}{24}[/tex]

are 2/5 and 8/15 a ratios equivalent

Answers

No 2/5 is equal to 4/10 and many others but not 8/15

Hey There!

The answer you are looking for is:

False, they are not equivalent.

Explanation / Work

First convert 2/5 into the same 'value' as 8/15

2/5 -> 4/10 -> 6/15.

As you can see, 6/15 is not the same as 8/15.

Meaning they are not equivalent.

Hope I helped! Please rate 5 stars and brainliest!

Can someone help me with this? I don’t need an explanation I just need the answer thank you :)

Answers

Answer:

87.92 in²

Step-by-step explanation:

pi × (R² - r²) = area

Where R is the radius of the outer circle and r of the inner circle.

Since C = 2pi×r

37.68 = 2×3.14×r

r = 6 in

R = 6 + 2 = 8 in

Therefore,

pi × (R² - r²) = area

Area = 3.14 (8² - 6²)

= 87.92 in²

Syd has $125 in her bank account. She makes a withdrawal of $75. How much does she have now.

Answers

Answer:

$50

Step-by-step explanation:

$125 - $75 = $50!

Solve the quadratic equation: 3x2 + x - 5 = 0

Answers

Hey there!

[tex]3x^2 + x -5 = 0[/tex]

This equation is in standard form, which is [tex]ax^2+bx+c=0[/tex].

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

[tex]x=\frac{-1\pm\sqrt{1+60} }{6}[/tex]

Add 1 and 60.

[tex]x=\frac{-1\pm\sqrt{61} }{6}[/tex]

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!

CAN SOMEONE PLEASE GIVE ME THE ANSWER

Answers

Here you are: B and E

1. Determine the total cost of the automobile after down payment and finance cost. Round your answer to the nearest penny; do not use commas in your answer.
price of car: $24.800.00, percent down: 18%, finance cost: 36 months at $760.00 per month
answer: ?

Answers

Answer:

24.800.000=100000

Step-by-step explanation:

gooogglleeeee PeRiOd

The cost of the car is $31824

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Price of the car =$24,800 down payment % =18 and monthly installment of $760

Thus Total cost= $24,80×0.18+36×760

                         = $31824

Hence, The cost of the car is $31824

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Which represents the solution(s) of the equation x2 = 289?

A) x =
17
B) x = ±
17
C) x = −
289
D) x = ±
289

Answers

Answer:

B) x = +/- 17

Step-by-step explanation:

Answer:

it D

Step-by-step explanation:

I took the usatestprep

Which expression represents x2−12x+36 in factored form?

Answers

The factored form of given is:

[tex]x^2 - 12x + 36 = (x-6)(x-6)[/tex]

Solution:

Given that,

[tex]x^2 - 12x + 36[/tex]

We have to find the factored form

From given,

[tex]x^2-12x+36\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\x^2-12x+6^2\\\\\mathrm{Rewrite\:}12x\mathrm{\:as\:}2x\cdot \:6\\\\x^2-2x\cdot \:6+6^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\\\a=x,\:b=6\\\\Therefore,\\\\x^2-12x+36 = \left(x-6\right)^2\\\\Which\ is\\\\x^2-12x+36 = (x - 6)(x - 6)[/tex]

Thus the given expression is factored

Final answer:

The expression x²−12x+36 is factored as (x-6)(x-6) or (x-6)².

Explanation:

The expression x²−12x+36 represents a quadratic equation. To factor this expression, we look for two numbers that both add to the middle term, -12, and multiply to the constant term, 36. The numbers that fit this requirement are -6 and -6, since (-6) + (-6) = -12 and (-6) × (-6) = 36. Therefore, the expression in factored form is (x-6)(x-6), which can also be written as (x-6)².

A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?

Answers

Average speed of the car is 29.85 miles/hr

Step-by-step explanation:

Step 1: Calculate speed when distance = 20 1/2 = 20.5 miles and time = 2/3 hr = 0.67 hrs.

Speed = Distance/Time

           = 20.5/0.67

           = 29.85 miles/hr

What is 2 plus 2????

Answers

Answer:

4

Step-by-step explanation:

Add 2 And 2, quite Simple

2 + 2 = 4

Hope this helps >.>

Answer:

4

Step-by-step explanation:

[tex]2+2\\Check:4-2=2\\[/tex]

can someone help with 9-14

Answers

Answer:

5

Step-by-step explanation:

Subtraciting

Answer:

If your asking what 9 - 14 is, than you would get a negative number.

9 - 14 = -5

Step-by-step explanation:

If you have any questions, please let me know.

The ratio of arc length to circumference is the same as the ratio of

Answers

Answer:

The ratio is the same as the ratio of the angle of that sector to the angle for the whole circle (2π).

Step-by-step explanation:

Solve for b.
7b = 35

Answers

Answer:

b = 5

Step-by-step explanation:

to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.

Answer:

[tex]b = 5[/tex]

Step-by-step explanation:

[tex]7b = 35 \\ \frac{7b}{7} = \frac{35}{7} \\ b = 5[/tex]

which expression is equivalent to 5^3 select all that apply
a. 5^7 x 5^-4
b. 5^12/5^4
c. 5^1 + 5^2
d. 5^0 x 5^3
e. 5^3 - 5^0

Answers

5^3=125
answer-A and D
Final answer:

Expressions a, b, and d are equivalent to 5^3. They all follow the laws of exponents, resulting in the same value of 5^3, or 125.

Explanation:

The question is asking which expressions are equivalent to 5^3. Let's break down each option:

a. 5^7 x 5^-4: Utilizing the law of exponents, we add the exponents when multiplying the same base, hence we get 5^3. b. 5^12/5^9: According to the law of exponents, we subtract the exponent of the denominator from the exponent of the numerator, which gives us 5^3. c. 5^1 + 5^2: This equals 5 + 25, which is not equal to 5^3 (125). d. 5^0 x 5^3: Any number raised to the power 0 is 1, therefore this equals 5^3. e. 5^3 - 5^0: This equals 125 – 1, which is not equal to 5^3 (125).

So, options a, b, and d are equivalent to 5^3.

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