Please help. Look at the triangle below.

Answer:

1) x = 12.2

3) x = 21.7

5) x = 17.9

7) x = 31.8

Step-by-step explanation:

Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)

1) 10^2 + 7^2 = x^2

100 + 49 = x^2

149 = x^2

x = sqrt 149 which is about 12.2

3) 16^2 + x^2 = 27^2

256 + x^2 = 729

x^2 = 473

x = sqrt 473 which is about 21.7

5) 9^2 + x^2 = 20^2

(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)

81 + x^2 = 400

x = sqrt 319 which is about 17.9

7) 16^2 + y^2 = 22^2 (y is the height of the triangle)

256 + y^2 = 484

x = sqrt 228

(sqrt 228)^2 + (44-16)^2 = x^2

228 + 784 = x^2

x^2 = sqrt 1012 which is about 31.8

Answer:

I think the answer is C.

Step-by-step explanation:

Have a good day ;-).

Answer:

x = 1 and x = -3

Step-by-step explanation:

We need to solve the given equation.

[tex]3+x=x^2+3x[/tex]

Taking all terms together,

[tex]x^2+3x-3-x=0\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x-1)(x+3)=0\\\\x=1\ and\ x=-3[/tex]

So, the solution of the above equation is x = 1 and x = -3.

Answer:

[tex]4=(x+1)^{2}[/tex]

x= -1 ±2

Khan Academy

Answer:

What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.

hope this helps

The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.

A vector is a quantity in which direction and magnitude both matters called a vector.

A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]

The magnitude of this vector will be  

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]  

The direction of this vector will be  

[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]

Given P(-6,0) and Q(2,4) so vector joining by

[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex]  + [4-0][tex]\vec{j}[/tex]

[tex]\vec{PQ}[/tex] =  8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]

now, the magnitude  [tex]\vec{PQ}[/tex] will be

⇒  [tex]\sqrt{(8^2+4^2)}[/tex]

⇒ 8.944

The direction of the vector [tex]\vec{PQ}[/tex] will be

⇒  [tex]\tan^{-1}(\frac{4}{8})[/tex]

⇒26.57°

So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.

For more information about vector

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Answer: 40 pages in total

Step-by-step explanation:

Ms. Vega has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in book

Step-by-step explanation:

8 pages read

8/40 = .20

Answer:

$112,710

Step-by-step explanation:

so first we have to find what is 15% of 86700

so 15/100×86700=$13005

so it is written that 86700 is in 2012 means 2010 it will be

2 times more which means 30% that means just have to do is multiply it two times which makes it $26010

so $86700+$26010=$112710

hope it helps you

please mark me as brainlist

Answer:

C. y= 6x-5

Step-by-step explanation:

Given Information :

Slope (m) = 6

y-intercept (b) = -5

Equation of a line :

y=mx+b

Where :

m = slope

b = y-intercept

So , with the given the information , the equation is :

[tex]y = 6x - 5[/tex]

Answer:

i think the answer would be 343?

Step-by-step explanation:

Answer:

the absolute value is always the same number positive so the answer would just be 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) f(t) = 110(0.95)^t

0.95<1, so the function shows 5% decay

b) f(t) = 1.08(1.07)^t

1.07 > 1, so the function shows 7% growth

Answer:

52:91

Step-by-step explanation:

To find a ratio value you need to think of it more as two numerators that together equal one whole. 4+7 is 11 so that would be the denominator. If the sum is 143, then we divide by 11 since one number is 4/11s of 143, and the other is 7/11s of 143. 143/11=13

now we multiply both:

4(13)=52

7(13)=91

Check:

91+52=143

52/91 simplifies to 4/7 or 4:7

i hope this helps!

The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

Given the number 4.

The sign of the number 4 is positive.

An additive inverse is a number whose sign is opposite to the number.

For example, the additive inverse of -5 is 5, and 5 is -5.

So additive inverse of 4 will be -4.

Now sum of 4 and -4

4 + (-4) = 0

Hence "The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0".

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Answer:

??????????

Step-by-step explanation:

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what is this

Answer:

[tex]x = - 3[/tex]

[tex]y = - 2[/tex]

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

[tex]x + 1= 5x + 13[/tex]

Subtract 1 from both sides

[tex]x = 5x + 12[/tex]

Subtract 5x from both sides

[tex] - 4x = 12[/tex]

Divide both sides by -4

[tex]x = - 3[/tex]

Now x=-3 into the top equation to find y

[tex] - 3 + 1 = - 2[/tex]

y=-2

Answer:

The better deal is 10 cans of soda for $5.50

Step-by-step explanation:

Therefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.

Hope this helped!

Answer:

10 cans for $5.50

Step-by-step explanation:

3.60/6= $0.60 per can

2.36/4= $0.59 per can

5.50/10= $0.55 per can

Answer:

you want to be a friend se you want me to be a good

Answer:

1. 7.1 in

2. 46.6 ft

3. 91.7 ft

4. 12

Step-by-step explanation:

All pythagorean theroem questions so a^2+b^2=c^2

Answer:

C

Step-by-step explanation:

Brainliest please

Answer:

170 cm^2.

Step-by-step explanation:

This consists of 3 rectangles of same area and 2 triangles of the same area.

= 3 * 10 * 5 + 2 * 1/2 * 5 * 4

= 150 + 20

= 170 cm^2.

Answer: C: 9.6

Step-by-step explanation:

9.6-3.4=6.2

Answer:

C. 9.6

Step-by-step explanation:

n - 3.4 = 6.2

n = 6.2 + 3.4

n = 9.6

Answer:

6 a - 13 b - 21 c - 13 d - 29 e -29 f - 122

y=15 and x=3

Step-by-step explanation:

Answer:

8 Inches

Step-by-step explanation:

multiply the length value by 4

Answer:

2

Step-by-step explanation:

Degree is the highest power of a term

I hope im right!

Answer:

2

Step-by-step explanation:

hello :

the degree of x2 - 17x + 2x - 5.00 is : 2

Answer:

TRUE

Step-by-step explanation:

I HOPE IT'S HELP .............

Answer:

Yes

Step-by-step explanation:

You see that you need a percentage. You are given the amount that she got wrong, assuming the questions are weighted the same, you divide 36 by 48. This gives you .75. Then you multiply .75 by 100% giving you 75%.

65* It is drawn with a round ruller...

90°, 45°

Step-by-step explanation:

Two angles that can be trisected with a straightedge and compass are 90° and 45° angles

Answer:

Same

Step-by-step explanation:

Answer:

m<T = 20°

Step-by-step explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°