Match the base to the corresponding height.
Base (b)
Height (h)

Step-by-step explanation

The orange machine, the very end of the shovel part. That line is a slope. The middle part of the scooper could also be a slope. The very beginng part of the scooper is also a slope.  The bottom part of the scooper is also a slope. The bottom part at the end of the scooper could also be slope.

Answer:

13°

Step-by-step explanation:

Cosine formula: a² = b² + c² - 2(b)(c)cos(a)

8² = 21² + 14² - 2(21)(14)cos(x)

64 = 441 + 196 - 588cos(x)

Bring constants to one side

64 = 441 + 196 - 588cos(x)

-441  -441  -196

-196

-573 = -588cos(x)

Divide by the coefficient

-573/-588 = -588cos(x)/-588

cos(x) = 573/588

To find x you need to use arcsin or cos^-1

x = arccos(573/588) = 12.969°

Answer:

[tex]\displaystyle 13° = m∠X[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X \\ \\ \frac{-8^2 + 14^2 + 21^2}{2[14][21]} = cos∠X → \frac{-64 + 196 + 441}{588} = cos∠X → 0,9744897959... = cos∠X \\ \\ 12,969468847...° = cos^{-1}\:0,9744897959... \\ \\ 13° ≈ 12,969468847...°[/tex]

As you can see, the inverse function MUST be used towards the end of your result, or elce you will throw it off!

I am joyous to assist you at any time.

Answer:

392.7 cubic centimeters. Hope that helps :)

Step-by-step explanation:

Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount

Answer:

Step-by-step explanation:

Given:

Diameter of the tennis ball = 14 inches.

Three tennis balls are fit in a cylindrical tennis ball cane.

To find:

The volume of air left between the balls and the cane​.

Solution:

Diameter of the tennis ball = 14 inches.

Radius of the tennis ball = 7 inches

Radius of tennis ball is equal to radius of cane. So,

Radius of the cane = 7 inches

Height of cane is:

[tex]3\times 14=42[/tex] inches

Volume of a ball is:

[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]

Where, r is the radius of the ball.

So, the volume of 3 ball is:

[tex]V_2=3\times V_1[/tex]

[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]

[tex]V_2=4312[/tex]

Volume of the cane is:

[tex]V_3=\pi r^2h[/tex]

Where, r is the radius of the cane and h is the height of the cane.

[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]

[tex]V_3=6468[/tex]

Now, the volume of air left between the balls and the cane​ is:

[tex]V=V_3-V_2[/tex]

[tex]V=6468-4312[/tex]

[tex]V=2156[/tex]

Therefore, the volume of air left between the balls and the cane​ is 2156 cubic inches.

i think the question is incomplete.Then what happened???? And what to find???

Answer:

<C + <D = < DEK

<D = 40

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<C + <D = < DEK

60 + <D = 100

<D = 100 -60

<D = 40

Answer:

[tex]60+m\angle D=100[/tex]

[tex]m\angle D=100-60[/tex]

--------------------------

Hope it helps...

Answer:

I think the answer is 1/2

Step-by-step explanation:

because

12x=6

x=6/12

•°•x=1/2

Answer:

[tex]y = \boxed0[/tex]

Step-by-step explanation:

we are given a sin function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) [/tex]

we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,

[tex] \displaystyle f(x) = a \sin(bx -c) + d[/tex]

where the midline is

to figure out the midline rewrite the function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0[/tex]

therefore the midline is

[tex]y = \boxed0[/tex]

Answer:

2/15

Step-by-step explanation:

I think not 100% on this but not so sure-

Subtract 5 1/10 from 5 3/4

5 3/4 - 5 1/10

• Subtract the whole numbers (5 and 5)

5 - 5 = 0

• LCM of the denominators (4 and 10)

= 13/20

She put an extra 13/20

Answer:

3 is the missing value

Step-by-step explanation:

Given

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Required

Complete the blank

The model is not given; but the question can still be solved.

We have:

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Add 8 to 4

[tex]24 + 12 = \_ * 12[/tex]

Add 24 to 12

[tex]36= \_ * 12[/tex]

Divide both sides by 12

[tex]3= \_[/tex]

Rewrite as:

[tex]\_ = 3[/tex]

Hence, the blank will be completed with 3

Answer:

a

Step-by-step explanation:

edg 2021

Step-by-step explanation:

here's the answer to your question

Answer:

4 weeks per level

Step-by-step explanation:

notice the pint (1,4)

the next is (2, 8)

meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.

Answer:

D

Step-by-Step Explanation:

You can mark out B and C because the amount of money they spend has to be less or equal to the amount of money they have.

A is wrong because we already know the total price for the movies. We know the price of the games are $43 each. X is the amount of game she can afford to get.

So in conclusion, D is the correct answer.

Answer:

Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel

Step-by-step explanation:

Question;

The equation representing the path of the ball obtained from a similar question posted online are;

h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20

The above equations represent the same path

The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t

At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level

The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0

The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;

The vertex of the ball = The maximum height reached by the ball  = (h, k) = (2, 36)

The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape

The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached

b) ( 7, 21)

Step-by-step explanation:

5(7)=2(21)-7

35=42-7

35=35

Answer:

None of them

Step-by-step explanation:

a: 5*0=2*6-7 False

b: 5*21=2*7-7 False

c: 5*18=2*8-7 False

d: 5*4=2*-3-7 False

Answer:

coordinates of H = (1, 0)

Coordinates of G = ( - 3.6, -2) or (5.6, -2)

Step-by-step explanation:

E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis.

Let the coordinates of H is (x, 0) and G is (a, b).

The length of side EF is

[tex]EF = \sqrt{(5 -2)^2 + (3 +1)^2} = 5[/tex]

So,

[tex]EH = \sqrt{(5 -x)^2 + (3 -0)^2} = 5\\\\(5 -x)^2+ 9 = 25\\\\5 - x = 4\\\\x = 1[/tex]

And

[tex]GH = \sqrt{(a -x)^2+ b^2} = 5\\\\(a -1)^2+ b^2 = 25\\\\a^2 + b^2 + 1 - 2 a = 25\\\\a^2 + b^2 - 2a = 24 .... (1)[/tex]

Now

[tex]FG = \sqrt{(a -2)^2+ (b +1)^2} = 5\\\\(a -2)^2+ (b+1)^2 = 25\\\\a^2 + b^2 + 2b - 2 a = 20\\ ..... (2)[/tex]

Solving (1) and (2)

b = - 2 ,

[tex]a = \frac{2 \pm\sqrt{4 + 80}}{2}\\\\a = \frac{2 \pm 9.2}{2}\\\\a = - 3.6, 5.6[/tex]

Answer:

The distance is 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{The formula for \underline{distance between} is: }\mathsf{\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex]\large\textsf{Whereas }\mathsf{x_2}\large\textsf{ is }\mathsf{2}\large\textsf{ and }\mathsf{x_1}\large\textsf{ is }\mathsf{ -5}\\\\\large\textsf{And also }\mathsf{y_2}\large\textsf{ is }\mathsf{ -2}\large\textsf{ and }\mathsf{ y_1}\large\textsf{ is }\mathsf{5}[/tex]

[tex]\mathsf{\sqrt{(2 - -5)^2+ (-2 + 5)^2}}\\\mathsf{2 - -5}\\\mathsf{= 2 + 5}\\\mathsf{= \bf 7}\\\\\mathsf{-2 + 5}\\\mathsf{= \bf -7}\\\\\mathsf{= \sqrt{(7)^2+ (-7)^2}}\\\\\mathsf{7^2}\\\mathsf{= 7\times7}\\\mathsf{= \bf 49}\\\\\mathsf{(-7)^2}\\\mathsf{= -7\times-7}\\\mathsf{= \bf 49}\\\\\mathsf{= \sqrt{49 +49}}\\\\\mathsf{49+49}\\\mathsf{=\bf 98}[/tex]

[tex]\mathsf{= \sqrt{98}}\\\mathsf{= 7\sqrt{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf 7\sqrt{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

a.) terry didn't line up the triangle correctly. 4/y = 20/18

b.) (20+16)/18

Step-by-step explanation:

for part a, you have to make sure the angles line up correctly (the angle with one tick mark lining up with the angle with one tick mark, the angle with two tick marks lining up with the angle with two tick marks, etc.)

for part b.) you just put the proportional lengths of the bigger triangle in for the lengths of the smaller triangle.

Answer

34 match sticks (C)

please mark me as brainliest and pls someone answer my question also

Answer:

Step-by-step explanation:

for first question your pattern is 3x+4 then 3(10)+4=34.. I mean your answer is part c

in second picture if your mean is 7 question, the answer is part 1. w=p/2_125 can not be the answer.

if your mean is 8 question, it's answer is point S. because x=5 &y=-25 then 5-(-25)=+30 it means point S.

but if your mean is the 6 question,it's answer is part 1..it means 3e+5c+2(1)

Answer: Jackie Robinson was an African American baseball player. He had accomplished-

He was well known for-

The rest is up to you :)

Im not very familiar on the story bc im in mid school but you can fill in the blanks i hope this helps you man :)

Step-by-step explanation:

Step-by-step explanation:

h(x) = 1/4 x

tha is the answer

Answer:

Step-by-step explanation:

this is a question about two similar triangles  , one is from  Amelia , the other is the tree.

1.5/4 = x/12

solve for x

4.5 = x

the tree is 4.5 meters tall

Answer:

3/4

Step-by-step explanation:

f(x) = 3 *2^x

Let x= -2

f(-2) = 3 *2^(-2)

     = 3 * 1/2^2

    = 3 /4

Answer:

It is 3/4

Step-by-step explanation:

Answer:

Yes Ella has enough to make 30 mince pies

Step-by-step explanation:

to make 36 mince pies you will need

400g of butter

500g of flour

300g of sugar

500g of mince meat

2 eggs

Ella has 1000g of butter

1000g of flour

500g of sugar

600g of meat

6 eggs

these ingredients are more than enough because

1000g-400g=600g-butter

1000g-500g=500g flour

500g-300g=200g sugar

600g-500g=100g mince meat

6-1= 5 eggs

if she were to follow the 36 pie recipe, which is two times the 18 pie recipe

but like  I don't know, because it says a recipe for 18 mince pies, but in the box it says 12

Answer:

[tex]\frac{9+ 5\sqrt{6} }{23}[/tex]

Step-by-step explanation:

2√3 + 3√2 *   4√3 -√2

4√3 +√2          4√3 -√2

multiply by conjugate

2√3 + 3√2 *   4√3 -√2      =       18 +10√6   = 9 +5√6  

4√3 +√2          4√3 -√2                   46                   23

Answer:

Step-by-step explanation:

To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.

Conjugate of 4√3 + √2 is 4√3 - √2

(2√3 +3 √2)(4√3 - √2) = (2√3 * 4√3) - (2√3*√2) + (3√2*4√3) -(3√2*√2) {Use FOIL method}

= 8*3 - 2*√6+12√6 -3*2

= 24 -2√6 +12√6 - 6

= 24 - 6 + (-2+12)√6)

= 18 + 10√6

[tex]\frac{2\sqrt{3}+3\sqrt{2} }{(4\sqrt{3}+\sqrt{2} }\\\\=\frac{(2\sqrt{3}+3\sqrt{2})(4\sqrt{3}-\sqrt{2}) }{(4\sqrt{3}+\sqrt{2} )(4\sqrt{3}-\sqrt{2} )}\\\\=\frac{18+10\sqrt{6} }{(4\sqrt{3})^{2}-(\sqrt{2})^{2} }\\\\=\frac{18+10\sqrt{6} }{48-2}\\\\=\frac{18+10\sqrt{6} }{46}\\\\\\=\frac{2(9+5\sqrt{6} )}{46}\\\\=\frac{9+5\sqrt{6} }{23}[/tex]

Answer:

abcd is a quadrilateral so ,

a is ( 0,-5 )

b is ( 2,-5 )

c is ( 1,-7 )

and d is ( 0,-7 )