What is the measure of ∠4?

Answer:

10.

Step-by-step explanation:

According to Pythagoras,

14^2 = 10^2 + x^2

196 = 100 + x^2

x^2 = 196-100

x^2 = 96

x = 9.8

x = 10  (nearest tenth)

Hope,  this will help and please mark me as brainliest.

Answer:

Line AC

Step-by-step explanation:

Given

See attachment for triangles

Required

60 degrees clockwise rotation about A

Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]

So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.

The closest is line AC;

Hence, AC is [tex]60^o[/tex] clockwise of point A

Answer:

6π

Step-by-step explanation:

Formula: C=2πr

C=2π3

C=6π

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!

Answer:

44

Step-by-step explanation:

10 x 3 = 30

8 + 6 =14

30 + 14 = 44

Answer:

110ft²

Step-by-step explanation:

Area of figure=(10×8)+(1/2×6×8)

=80+24

=112 ft²

=110 ft² (to nearest tenth)

I don't see the grid? did you attach a photo?

Answer:

h(4) = 0

Step-by-step explanation:

Hoping its ' kx '

[tex]h(x) = x^2 + kx -8 \\\\h(-1) = (-1)^2 + k(-1) - 8\\\\-5 = 1 - k -8\\\\-5 = -k -7\\\\-5 + 7 = -k\\\\2 = -k\\-2 = k[/tex]

Now we have k = -2. We will find h(4).

[tex]h(4) = (4)^2 + (-2)(4) - 8 = 16 -8 - 8 = 0[/tex]

Answer:

h(4) = 0

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of h(4) , you need to find 'k' first by using the given facts.

[tex]h(-1) = (-1)^2 + k(-1) - 8 = -5[/tex]

[tex]=> 1 - k - 8 = -5[/tex]

[tex]=> -k - 7 = -5[/tex]

[tex]=> -k - 7 + 7 = -5 + 7[/tex]

[tex]=> -k = 2[/tex]

[tex]=> -k(-1) = 2(-1)[/tex]

[tex]=> k = -2[/tex]

Putting the value of k,

[tex]h(4) = (4)^2 + (-2)(4) - 8[/tex]

       [tex]= 16 - 8 - 8[/tex]

       [tex]= 16 - 16[/tex]

       [tex]= 0[/tex]

Answer:

Step-by-step explanation:

[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]

Answer:

-343/8 or -42 7/8

Step-by-step explanation:

7(-49/8) = -343/8 or -42 7/8

Answer:

Step-by-step explanation:

go to the back of the book

Answer:

a

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 4² + 7² = 16 + 49 = 65 ( take the square root of both sides )

x = [tex]\sqrt{65}[/tex] → a

Answer:

hopes this helps

Step-by-step explanation:

D 28

Answer:

[tex]112m^{2}[/tex]

Step-by-step explanation:

formula L * H =A

8*14=112

Answer:

C.

Step-by-step explanation:

15^2 not = 6^2 + 11^2.

Answer:

Answer = 32

Step-by-step explanation:

p= 8

4p

(4)(8)

=32

Answer:

I got, 8 x 4 = 32

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

mDE = mEF (E midpoint of DF)

Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Answer:

$1,610 is Daniella's Net Worth

Step-by-step explanation:

1,425 + 3,200 – 1,350 – 825 – 6×140 = 1,610

Answer:

Time in air is 7.5 s.

Step-by-step explanation:

initial height, h = 0.125 feet

initial velocity, u = 80 ft/s

final height, h' = 5 ft

acceleration due to gravity, g = 32 ft/s^2

Let the time is t to reach the maximum height.

v = u - gt

0 = 80 - 32 t

t = 2.5 s

Let the time is t' from top to ground.

[tex]s = u t + 0.5 gt^2\\\\5 = 80 t - 16 t^2\\\\16 t^2 - 80 t + 5 = 0 \\\\t = \frac{80\pm\sqrt{6400 - 320}}{32}\\\\t = \frac{80\pm78}{32}\\\\t = 5 s or 0.0625 s[/tex]

So the tie is 5 s

The time in air is

T = 2.5 + 5 = 7.5 s  

[tex]\sf\purple{24}[/tex] ✅

Step-by-step explanation:-

[tex] - 12 \times 2 \times - 1 \\ = 24[/tex]

Note:-

[tex]( - \times - ) = + [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

x+133 =131

x. =131-133

x. =(-2)

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer:

9 x 24 x 1/2(basically dividing by 2) = 108 , 108  x 2(two triangles) = 216

40 x 15 = 600, 600 x 2(two slanted rectangles) = 1200

40 x 24 = 960 (area of base)

Add given areas:

216 + 1,200 + 960 = 2,376 square feet, B.

Answer:

(B) 2,376

Step-by-step explanation:

I was the first person to actually answer since the other person used you for points but it is B

Answer:I honestly don’t know.....

im so sorry

Step-by-step explanation:

Answer:

B) & C)

Step-by-step explanation:

___________________

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4

9514 1404 393

Answer:

  C)  7

Step-by-step explanation:

We have ...

  TS +SR = 19

  SR +RQ = 13

Adding these two equations together, we have ...

  TS +2·SR +RQ = 19 +13 = 32

We also have ...

  TS +SR +RQ = 25

Subtracting this from the equation above, we have ...

  (TS +2·SR +RQ) -(TS +SR +RQ) = 32 -25

  SR = 7

Answer:

Step-by-step explanation:

Part C: (Explanation with steps)

Let the length of the swimming pool = l feet

And width of the pool = w feet

Perimeter of the pool = 2(l + w) feet

Since, perimeter of the pool = 8 feet

2(l + w) = 80

l + w = 40

l = (80 - w) -------(1)

Area of the pool = Length × width

A(w) = l × w

By substituting the value of l from equation (1)

A(w) = (80 - w) × w

A(w) = 80w - w²

To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.

A'(w) = 80 - 2w

(80 - 2w) = 0

w = [tex]\frac{80}{2}[/tex]

w = 40 feet

Therefore, for width (w) = 40 feet area of the pool will be maximum.

From equation (1),

l = 80 - 40

l = 40 feet

Therefore, maximum area of the pool = l × w

                                                               = 40 × 40

                                                               = 1600 square feet

Part A:

Function representing area of the pool,

A(w) = -w² + 80w

Part B:

Maximum area of the surface of the pool = 1600 square feet

Answer:

A= third interior angle

108+24+A=180

A=180-24-108

A=48

Step-by-step explanation: