Midpoints & endpoints

Answer:

formular 1/2 × base × height

1/2 × 2 × 8

16/2 = 8 ft

ans 8 ft

Answer:

Step-by-step explanation:

a = 2 ft ;   b = 8 ft ;  C = 91

[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then

[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]

= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{3^{8} }[/tex]

Answer:

4(5x _ 2y ) ^

Step-by-step explanation:

It is above in a photo .

Hey there! I'm happy to help!

We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.

1/4x - 1/8 = 7/8 + 1/2x

We add 1/8 to both sides.

1/4x=1+1/2x

We subtract 1/2x from both sides.

-1/4x=1

We divide both sides by -1/4 (same thing as multiplying -4).

B. x=-4

Have a wonderful day and keep on learning! :D

Step-by-step explanation:

Infinitely many solutions are there....

hope it helps

Answer:

53240 should be divided by 5 to make it a perfect cube.

Step-by-step explanation:

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2    x0= (-2+4)/2=1

y0=(yA+yC)/2    y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2     1= (1+xD)/2   xD=1

y0= (yB+yD)/2      2= (0+yD)/2    yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

Answer:

26

Step-by-step explanation:

p²+m

=> 5²+1

=> 25 + 1

=> 26

Answer:

26

Step-by-step explanation:

Substitute the given values into the expression

p² + m

= 5² + 1

= 25 + 1

= 26

Answer:

h(0) = - 2

Step-by-step explanation:

Substitute x = 0 into h(x) and evaluate , that is

h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2

Answer:

C. 8/17

Step-by-step explanation:

PM = 16+14 = 30 cm

KP= LN = 16×tan45° = 16×1 = 16cm

by using pythagorean theorem, we find :

KM² = PM²+KP²

= 30²+16²

= 900+256

= 1156

=> KM =√1156 = 34cm

so, cos theta = KP/KM = 16/34 = 8/17

Step-by-step explanation:

72° and a° is the angle of a straight line so

a+72°=180

a=180-72

a=108°

By using alternate exterior angle definition:

7x+24=180

7x=108-24

7x=84

x=84/7

x=12

Answer:

first angle is 20, 2nd is 120, 3rd is 40.

Step-by-step explanation:

with these words, "20 less than a number, Three

times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.

Answer:

z = 9

See my attachment below for step-by-step explanation.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

= [tex]\frac{1}{3}[/tex]

Answer:

7

Step-by-step explanation:

bc 11×5=55 so you divide it and its 11-4=7 :)

Answer:

[tex]x+17[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The sum of a number and seventeen

⇒ [tex]x+17[/tex]

I hope this helps!

Answer:

___-5___is 3 units left from -2 on a number line.

___1___- is 3 units right from -2 on a number line

Answer:

A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?

Answer: The side length is 3in (inches)

Step-by-step explanation:

Since it's a cube, all the sides are the same.

Formula for cube: L x W x H

= 3 x 3 x 3

= 27in

Answer:

1/9 probability

Step-by-step explanation:

The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9

Answer:

[tex]8 + x = 2 + 8 \\ 8 + x = 10 \\ x = 10- 8 \\ \\ x = 2 \\ then8 + 2 = 2 + 8 \\ thank \: you[/tex]

Answer:

2

Step-by-step explanation:

8 + 2 = 10, so basically, 10 - 8 = 2. Meaning the missing number to when 8 is added to something to equal 10, would be 2.

Answer:  C) 3

Explanation:

The degree of a single variable polynomial is the largest exponent, which in this case is 3.

Answer:

Below,...!

Step-by-step explanation:

1 = Variable

2 = Exponent

3/4 = Coefficient

1. True

2. False

3. True

4. FaLSE

Answer:

10+15i/13

Step-by-step explanation:

This question is about complex numbers.

so,

in this type of questions we have to multiply this fraction by the conjugate of the denominator

   conjugate of the denominator is  3-2i

    1)    5i(3-2i)/(3+2i)(3-2i)

    2) 15i-10i^2/9-4i^2   ( we know that i^2 = -1 )

    3) 15i+10/9+4

     4) 15i+10  / 13

Answer:

h(-2) = 224

Step-by-step explanation:

Answer:

m = 65

Step-by-step explanation:

Given

- 13 = [tex]\frac{m}{-5}[/tex] ( multiply both sides by - 5 )

65 = m

Answer:

[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]

[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]

[tex]\\ \rm\longmapsto 5(3)[/tex]

[tex]\\ \rm\longmapsto 15[/tex]

Answer:

= sin x

1

−

cos

x

(

1

+

cos

x

1

+

cos

x

)

-multiply by the conjugate

=

sin

x

+

sin

x

cos

x

1

−

cos

2

x

-distribute

=

sin

x

sin

2

x

+

sin

x

cos

x

sin

2

x

-use property  

sin

2

x

+

cos

2

x

=

1

=

1

sin

x

+

cos

x

sin

x

-simply

=

csc

x

+

cot

x

=

Right Hand Side

Step-by-step explanation:

The polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:

4xy² + 2y + 5

Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Therefore, the polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

learn more on polynomial here: https://brainly.com/question/27205112

#SPJ1

Answer: its b

8xy5 -5y4 -2xy5 +x2y

Step-by-step explanation:

I got it right on edge

Answer:

O Natural, whole, integer, rational, real

Step-by-step explanation:

it can be expressed as a fraction of 45/3, which means that it is rational.

it is a whole number because it does not contain a fraction or decimal.

it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc

it is a natural number because it is a positive integer.

and it is an integer because it does not contain a decimal.

Answer: Natural, whole, integer, rational, real