Calculate the value of c in the following square using the information given.
с
W.
Х
10.6 cm
b
Z
0
c = 15 cm
c = 16 cm
c = 17 cm
O c = 18 cm

Answer:

2 (real) solutions.

Step-by-step explanation:

A quadratic always has two solutions, whether they are real or complex.

Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).

In the case of

x^2+3x = 3, or

x² + 3x -3 = 0

we apply the quadratic formula to get

x =  (-3 +/- sqrt(3^2+4(1)(3))/2

to give the two solutions

{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}

both of which are real.

Answer: 100

Step-by-step explanation:

Since she had a mean score of 94 in her 5 tests, then the total score will be:

= 94 × 5

= 470

Since she She remembered getting scores of 97, 88, 90, and 95, for 4 quizzes out of 5 quizzes, the total of the four quizzes will be:

= 97 + 88 + 90 + 95

= 370

Then, her 5th quiz will be:

= 470 - 370

= 100

Step-by-step explanation:

[tex] \sqrt{3} - 1[/tex]

Answer:

-1 + √3

Step-by-step explanation:

use the F.O.I.L method to solve this.

"firsts"

1 * 2 = 2

"outsides"

1 * -√3 = -√3

"insides"

√3 * 2 = 2√3

"lasts"

√3 * - √3 = -3

so you get:

2 - √3 + 2√3 - 3

combine like terms

-1 + √3

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

[tex]\frac{178}{8}\,km = 22.25\,km[/tex]

Martin

[tex]21\,km + \frac{3}{4}\,km = 21.75\,km[/tex]

Santiago

[tex]21\,km + \frac{5}{12}\,km = 21.417\,km[/tex]

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

[tex]x = 29.3\,km -22.25\,km[/tex]

[tex]x = 7.05\,km[/tex]

Martin

[tex]x = 29.3\,km - 21.75\,km[/tex]

[tex]x = 7.55\,cm[/tex]

Santiago

[tex]x = 29.3\,km - 21.417\,km[/tex]

[tex]x = 7.883\,km[/tex]

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

[tex]\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}[/tex]

[tex]\bar x = 21.889\,km[/tex]

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

[tex]x = 21.75\,km - 21.417\,km[/tex]

[tex]x = 0.333\,km[/tex]

Martín recorrió 0.333 kilómetros más que Santiago.

Answer: V= 330.513 cm 3

Step-by-step explanation:

Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so

8.7 x 8.7 = 75.69cm^2

75.69 x 13.1 = 991.539

991.539 ÷ 3 = 330.513 cm^3

Answer:

Angle T = 28, h = 18

Step-by-step explanation:

HW/ER = WT/RD Thales Theorem

10/5 = h/9 Substitution

2 = h/9 Alg

h = 18 Alg

Angle D = Angle T Similarity definition

Angle D + Angle E + Angle R = 180 Angle Sum Property

Angle D + 86 + 66 = 180 Substitution

Angle D + 152 = 180 Alg

Angle D = 28 Alg

Angle D = Angle T = 28 Similarity Definition

Hope this helped!

Answer: 26 and 31.5

Step-by-step explanation: it litterally shows it in the picture

Answer:

Mixed martial artist

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

48 un²

Step-by-step explanation:

1/2 ( base x height)

1/2( 12 x 8 )

1/2( 96 )

48

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

D. Yes, a reasonable estimate is around 5 - $7 = $35.

Answer:

x = -37/32

Step-by-step explanation:

32x + 26 = -11

Subtract 26 from each side

32x + 26-26 = -11-26

32x = -37

Divide each side by 32

32x/32 = -37/32

x = -37/32

Answer:

x= -1 5/32 or x=-1.15625

Step-by-step explanation:

Answer:

[tex]3k (m + \frac{1}{3}n)[/tex]

Step-by-step explanation:

Sum of m and one - third of n is :

                                     [tex]= m + \frac{1}{3}n[/tex]

Product of 3k to  the sum is :

                                     [tex]=3k \times (m + \frac{1}{3}n)[/tex]

Answer:

S = 50w + 75

Step-by-step explanation:

After each week, Mike gains $50.

Letting w = 0 gives us the amount he started with. In this case, that would be $75.

Therefore, the equation is S = 50w + 75.

Answer:

471.24 Inches

Step-by-step explanation:

Answer:

Properties of Dilation

Dilations in Animation

[tex]\color{yellow}{}[/tex]

Answer:

A -2*-2 ≠- 4

Step-by-step explanation:

sqrt(-4)

The answer is an imaginary number

-2*-2 = 4 not -4

Answer:

[tex]\sqrt{-4} \neq -2 \\[/tex]  because -2 times -2 equals 4 not -4.

Therefore A. [tex]-2^{2}\neq 4[/tex] is the answer to this question.

If you need help on similar problems feel free to ask, hope I helped :)

Answer:

the ans is 63°

Step-by-step explanation:

94°+24°+x(suppose)=180°(being a triangle)

x=63°

Answer:

its 63

Step-by-step explanation:

117 would be above 90 degreesand clearly its smaller than a 90 degree angle, meaning its 63 or 67 but 94+23=117 and (a full angle which is 180) 180-117 which gives u 63

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Answer:

The answer is c (54).

Step-by-step explanation:

Answer:

In a pyramid, line segment AD is the perpendicular bisector of triangle ABC on line segment BC. If AB = 20 feet and BD= 7 feet, find the length of side AC.

Step-by-step explanation:

Solution

It is given that AD is the perpendicular bisector on the line segment BC.

So, By Perpendicular Bisector Theorem, any point on line segment AD is at an equal distance from points B and C. It implies, AB = AC

AC = 20 feet.

Answer:

You save 5.6 dollars.

Step-by-step explanation:

10%

The way we can calculate 10% of a number is to simply move its decimal point down one.

So for instance, 56.00, we move it one decimal place down, getting us 5.60.

1%:

This works for 1% as well, except we move 2 decimal points down instead of 1.

Using these 2 we can very easily find any percent.

Want to find 17% of 99?

Well that sounds like some rotten long division :(.

Actually, though, this is quite easy.

10% of 99 would be 9.9

1% of 99 would be 0.99

To find 17%, just multiply 0.99 by 7.

This is 6.93, you can just make 0.99 1, multiply it by 7, then subtract 0.07 from it.

Add the 9.9 and 6.93 and you get 16.83.

I did this all in my head, and once you practice this, you could calculate this even quicker than with a calculator!

Hope this helps!

Answer:

[tex] \sqrt{137} [/tex]

Step-by-step explanation:

11.7

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

The figure given is a rectangle. So, we know that the parallel (opposite) sides of a rectangle are equal to each other.

[tex]•°• \: \: 40 = 5x + 10 \\ 40 - 10 = 5x \\ 30 = 5x \\ \frac{30}{5} = x \\ 6 = x[/tex]

✐ The value of x is 6.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

x = 16.4

Step-by-step explanation:

For right-angle triangles, we can use the trigonometry equations;

In this case, we need to use the sine equation in particular:

sinθ = opposite/hypotenuse

sin(66) = x/18

x = 0.91...(18)

x = 16.4438... ⇒ 16.4

Answer:

It is not

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

Answer:

B, E

Step-by-step explanation:

A would be wrong because the second part (up 1) would give you (5,1) The origin is (0,0)

B is correct because (5,0) has a 5 as the x coordinate

C is wrong because the y coordinate is 0

D is wrong because A is on the x since the y coordinate is 0

E is correct because (5,0) has a 5 on the x and a 0 on the y

Answer:

r ≈ 7.9 inches

Step-by-step explanation:

V(cylinder) = πr²h

196 = πr²(1)

196/π = r²

62.4 = r²

√62.4 = r

r ≈ 7.9