MATH HELP PLEASE ANSWER ASAP

Answer:

x = 20

Step-by-step explanation:

90 = 60 + (x + 10)

90 - 60 = x + 10

30 = x + 10

30 - 10 = x

20 = x

Answer:

x = 20

Step-by-step explanation:

From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...

60° + (x + 10)° = 90°

Now we just solve the equation and get the following...

60° + (x + 10)° = 90°

x° + 10° = 30°

x° = 20°

x = 20

Answer:

$45

Step-by-step explanation:

[tex]180 \times 25\%[/tex]

[tex]180 \times \frac{25}{100} [/tex]

[tex] \frac{18 \times 25}{10} [/tex]

[tex] \frac{450}{10} [/tex]

[tex]45[/tex]

Answer:

The 8th term of the sequence is 255

Step-by-step explanation:

To find the 8th term of the sequence, we have to use the given sequence formula

All we have to do here is to make a substitution

We simply have to substitute the value 8 for n as follows;

a8 = 2^8 - 1

a8 =256-1

a8 = 255

Answer:

101 + 102 + 103 + ... + 998 + 999 + 1000

Step-by-step explanation:

=====================================================

Explanation:

This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.

The quickest way to find the sum is to use the formula below

S = (n/2)*(a+b)

where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.

We can see that n = 100, a = 1 and b = 100, so....

S = (n/2)*(a+b)

S = (100/2)*(1+100)

S = 50*101

S = 5050

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This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.

We have these fifty sums

1+100 = 101

2+99 = 101

3+98 = 101

....

48+53 = 101

49+52 = 101

50+51 = 101

We have 50 copies of 101 being added, which leads to 50*101 = 5050

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The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.

Step-by-step explanation: 6dsdsnds

Answer:

26

Step-by-step explanation:

Perimeter= width+height+width+height

               = 5 + 8 + 5 + 8

               = 26 cm

Hope this helps!

Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid

Answer:

Probability of spinning an odd number is 84%

Step-by-step explanation:

The probability of spinning a 1 or 4 is equal. Let this probability be X

Probability of spinning a 2 is 1/16

Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%

Sum of spinning 1,2,3 and 4 is equal to 100%

X + 16% + X + 8% = 100

2X = 100 - 16-8

X = 76%

Probability of spinning an odd number i.e one and 3 is

76% + 8% = 84%

Answer:

10x is equal to 100 so 100+6=106

then

Step-by-step explanation:

4x is equal to 8 so 4+18=22

so it's 128

Answer:14 m

Step-by-step explanation:

Dada

larga [tex]l=20\ m[/tex]

superficie [tex]A=280\ m^2[/tex]

Suponga que el ancho es w

La superficie está dada por el producto de la longitud y la anchura.

[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]

Por lo tanto, el ancho es de 14 m.

Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

Answer:

B. (2, 6)

Step-by-step explanation:

Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2

Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))

= 8+(-2) = 6

the coordinate => (2, 6)

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 = 18

Take the square root of each side

sqrt(x^2) = sqrt(18)

x = ± sqrt(18)

x =±sqrt(9*2)

x = ±sqrt(9) sqrt(2)

x = ±3 sqrt(2)

Answer:

The value of x is 4.

Step-by-step explanation:

The perimeter of the triangle is the sum of the lengths of all its sides.

The perimeter of the rectangle is twice the sum of the length and the width.

base of triangle = x

two equal sides = x + 5

length of rectangle = x - 1

width of rectangle = x + 4

According to the question,

Perimeter of triangle = perimeter of rectangle

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

3 x + 10 = 2 (2 x + 3 )

3 x + 10 = 4 x + 6

4 x - 3 x = 10 - 6

x = 4

Answer:

(27 - P) / 3P = r

Step-by-step explanation:

A = P(1 + rt)

A = 27

27 = P(1 + 3r)

27 = P + 3Pr

27 - P = 3Pr

(27 - P) / 3P = r

Answer:

12

Step-by-step explanation:

13^2=5^2+y^2

y^2=5^2-13^3

y^2=25-169

y^2=144

y=square root of 144

y=12

Answer:

12)

Step-by-step explanation:

For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:

a^2 + b^2 = c^2

Hope this helps!

-kiniwih426

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Step-by-step explanation:

The factorisation of 49b^2 - 81 is (7b - 9)(7b + 9). This is because 49 and 81 are the squares of 7 and 9 respectively, so these must be multiplied together. b^2 is b x b. Finally, it must be -9 and +9 to make -81, because when the signs are the same the result is a positive number

Answer:

(7b - 9)(7b + 9)

Step-by-step explanation:

49b2 - 81

49 - 7 x 7

b2 - b x b

81 - 9 x 9

(a + b) (a - b) = a2 - b2

(7b - 9)(7b + 9)

you are driving onajor highway 94 mp

Answer:

C. There are two solutions: 2 and –2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have

we know that

The solution of the function is equivalent to solve the following system of equations

 ------> equation A

 ------> equation B

The x-coordinate of the intersection point both graphs is the solution of the given function

Using a graphing tool

see the attached figure

The intersection points are  and  

therefore

The solution of the given function are

Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.

Answer: option C.

Step-by-step explanation:

Given  a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.

The options A is not opened upwards, then it is not the answer.

Then the given equation  can be written as:

This function is equal to the parent function, shifted 4 units down.

Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).

Then, the correct option is C. And the solution is:

Answer:

Y,O,Q

Step-by-step explanation:

Answer:

Yes, the card is a right triangle.

Step-by-step explanation:

The card is a right triangle, specifically a 3-4-5 right triangle.

A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.

The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.

So, the card is a right triangle.

Answer:

7) Option D.

8) Option C.

9) Option C.

10) Option A.

Step-by-step explanation:

7) The "x" value can be found using the following trigonometrical identity:

[tex] sin(30) = \frac{12}{x} [/tex]

[tex] x = \frac{12}{sin(30)} = 24 [/tex]

Since "x" (the hypotenuse) is related to the opposite side by sin(θ).

So, the correct option is D.

8) The "y" value can be calculated with tan(θ):

[tex] tan(30) = \frac{12}{y} [/tex]

[tex] y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3} [/tex]

Hence, the correct option is C.

9) The hypotenuse can be calculated with cos(θ):

[tex] cos(45) = \frac{5\sqrt{2}}{x} [/tex]

[tex] x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10 [/tex]

Thus, the correct option is C.

10) The value of the sides can be found by Pitagoras:

[tex] h^{2} = x^{2} + x^{2} [/tex]

[tex] x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10} [/tex]

Therefore, the correct option is A.

I hope it helps you!

Answer:

[tex] = \frac{ - 8 - 1 - 3}{3} \\ = \frac{ - 12}{3} \\ = - 4[/tex]