A quarterback is standing on the football field preparing to throw a pass. His receiver is standing 20 yards down the field and 15 yards to the quarterback’s left. The quarterback throws the ball at a velocity of 60 mph towards the receiver at an upward angle of 30° (see the following figure). Write the initial velocity vector of the ball ⃑ , in component form.

Answer:

10 points

Step-by-step explanation:

you just need to subtract the score in game 6 from the score in game 5

Answer:

10

Step-by-step explanation:

Look in the graph.

In game 6, use the last bar to the right in dark blue. The Tigers scored 35 points.

In game 5, use the purple bar. the Tigers scored 25 points.

To find the difference, we subtract.

35 - 25 = 10

Answer: 10

Answer:

36

Step-by-step explanation:

125%*x=45

125%x=45

x=36

The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.

It follows from the task content that the graph which has been shifted vertically is to be identified.

For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.

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Answer:

1:If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 2:All sides are equal in length. Diagonals bisect each other at a 90-degree angle. The sum of any two adjacent interior angles is 180 degrees. Opposite sides are equal and parallel to each other.3:Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.

Step-by-step explanation:

a) The difference between the temperatures is 5°c.

b) We will see that at midday, the temperature is 12°C.

We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.

a) First we want to find the difference between the temperatures, we can compute that directly:

T' - T = -3°C - (-8°C) = 5°C

This means that the temperature increased 5°C in that time interval.

b) At midday, the temperature was 9°C higher than at 5am, this means that:

T'' - T' = 9°C

T'' - 3°C = 9°C

Now we can solve this for T''

T'' = 9°C + 3°C = 12°C

At midday, the temperature is 12°C.

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Step-by-step explanation:the formula for solving time is 100 * 40 naira / / 200 * 15

Answer:

The answer is D

Step-by-step explanation:

The solution is in the file

Answer:

1/2

Step-by-step explanation:

9/10 - 4/10 =  (9-4) / 10 = 5/10 = 1/2

Answer:

9/10 - 4/10 = 5/10 (0.5) zero and a half.

Step-by-step explanation:

The denominators are the same so you only need to subract 4 from nine, you could even simplify it after by dividing the top of the fraction and the bottom by the same number. goodluck btw

[tex] \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}[/tex]

[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x- 17 =51 +61}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x- 17= 112}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{2x = 129}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{x = \frac{129}{2}}[/tex]

[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]

[tex]{\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}[/tex]

2x - 17 = 51 + 61

[tex]{\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}[/tex]

[tex]{\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}[/tex]

2x = 112 + 17

2x = 129

[tex]{\blue{x = {\pink{ \frac{129}{2} }}}}[/tex]

The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.

A perpendicular bisector of a line segment is a line segment that is perpendicular to and passes through the middle of the line segment (left figure). A line segment's perpendicular bisector can be drawn using a compass by drawing circles centred at and with radius and connecting their two intersections.

The construction that is been demonstrated in the figure is The first mark for constructing a perpendicular bisector.

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Answer:

First Number=9

Second number=18

Third Number=72

Step-by-step explanation:

let's take the first number as X

X+(9+X)+[4(9+X)]=99

X+9+X+36+4=99

6X=99-45

X=54/6

X=9

Answer:

B

Step-by-step explanation:

BC is 14

DC and BC are equal

3y + 5 = 5y - 1

-3y

5 = 2y - 1

+1

6 = 2y

÷2

3 = y

y=3

Substitute y=3 into 5y-1, to find BC

5y-1

5x3 - 1

15 - 1

14

BC is 14

Hope this helps!

Answer:

Step-by-step explanation:

Let corner angle at C=α

tanα=12;BC=x;AC=xsecα

By a standard property of right angled triangles,

(xsecα)2=x(x+2)

simplify

x=BC=2tan2α=8.

The sketch is not proportionately drawn.Also

AB=4,AC=45–√

Answer:

X Intercepts: (3,0) , (-1,0)

Y Intercepts: None

Hope this helps.

Answer:

10 = x

Step-by-step explanation:

I believe <B = <E.

<B = 50 = <E = 5x

50 = 5x

10 = x

Answer:

10.672hrs ( maybe)

Step-by-step explanation:

A can complete the work in 20 hrs then 1/3 part can be completed in 20*1/3=6.67hrs

B can complete the 1/4 part of the work in same time then B can complete hole work in 6.67*4=26.68 hrs

B can complete the 1/5 part of work in 26.67/5=5.336hrs

according to question C can complete 1/2part of work in same time then the whole work can complete in

2*5.336=10.672hrs

Answer:

2≤7

Step-by-step explanation:

-7+9≤-2+9

2≤7

Step-by-step explanation:

Radio=

Normal Price = K48.

Discount 20%

Selling Price

The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards

From the question, we are to calculate the radius of the cylinder

The volume of a cylinder is given by the formula,

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 847π yds³

h = 7 yds

Putting the parameters into the equation, we get

[tex]847\pi = \pi r^{2} \times 7[/tex]

[tex]7r^{2} = 847[/tex]

[tex]r^{2} = \frac{847}{7}[/tex]

[tex]r^{2} = 121[/tex]

[tex]r =\sqrt{121}[/tex]

r = 11 yards

Hence, the radius of the given cylinder is 11 yards.

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Answer:

D    15:1

Step-by-step explanation:

15 apple trees

26 orange trees

1 cherry tree

apple trees : cherry trees

       15        :         1

Answer: D    15:1

Answer:

[tex]4x^4-x^3-3x^2-x+6[/tex]

Step-by-step explanation:

1. [tex](f-g)(x)=(4x^4-5x^2+2)-(x^3-2x^2+x-4)[/tex]

2. [tex]4x^4-5x^2+2-x^3+2x^2-x+4[/tex]

3. Simplify = [tex]4x^4-x^3-3x^2-x+6[/tex]

Answer:

Step-by-step explanation:

Answer:

381

Step-by-step explanation:

that's the nearest whole number

The probability that it will not rain on both Saturday and Sunday will be 0.2268.

From the information, meteorologist predicts that there is a 42% chance of rain on Saturday and a 54% chance of rain on Sunday.

The probability that it will not rain on both Saturday and Sunday will be:

= (1 - 42%) × (1 - 54%)

= 0.58 × 0.46

= 0.2268

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Answer:

720. just multiply 10 9 and 8 because  first, second, and third, that is means three and that's how many numbers you multiply from 10,so it equals 720.

hope this helps

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

16/10=1.6 and 1.6x40=64

Answer: y = 64

Step-by-step explanation:

[tex]$$Given, \\$y$ is directly proportional to $x$ \\$\Rightarrow y \propto x$ (Note: ' $\alpha$ ' be proportion/various sign) \\$\Rightarrow y=k x$ ( $k$ be the constant) \\$\therefore y=k x-$ (1)[/tex]

[tex]$$Given $y=40$ when $x=10$.So, substitute $y=40 \ \& \ x=10$ in (1) we get,$$\begin{aligned}&\Rightarrow 40=k(10) \\&\Rightarrow 10 k=40 \\&\Rightarrow k=\frac{40}{10} \text { (divide '10' both sides) } \\&\Rightarrow k=4\end{aligned}$$[/tex]

[tex]$$Put $k=4$ in (1) we get,$$y=4 x$$We substitute $x=16$ in (2) we get$$\begin{aligned}y &=4(16) \\\Rightarrow y &=64 \\\end{aligned}$$[/tex]

Answer:

If you need to factor this equation the answer is =3(-5x+4)

Step-by-step explanation:

-15x+12

-15/3 = -5      

3/12 = 4

= 3(-5x+4)

Problem 8

The box portion of the shed (ignoring the triangular roof) has a volume of:

length*width*height = 10*8*6.5 = 520 cubic feet

The triangular face on the right side has an area of base*height/2 = 8*2.5/2 = 10. Multiply this with the depth of the triangular prism and we get a volume of 10*10 = 100 cubic feet.

The two sub-volumes combine to 520+100 = 620

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

Problem 9

Let's find the area of the base

area = side*side = (4.2)*(4.2) = 17.64 sq inches

Then we plug that into the formula below, along with the height of the pyramid

V = volume of a pyramid

V = (1/3)*(area of the base)*(height)

V = (1/3)*(17.64)*(5)

V = 29.4

Your teacher made a typo. She or he should have written [tex]\text{in}^3[/tex] instead of [tex]\text{in}^2[/tex]

Answer:

Okay so you basically need to break this shape into sensible pieces. Such as rectangular and triangular prisms.

first let's find the rectangular prisms' volume, we need to multiply 6.5 with 10 and 8.

6.5×10×8 gives us 520

520 is the volume of the rectangular prism (below the shape)

to find the triangular prism's volume follow these steps:

2.5×8×10×1/2 which gives us 100

now we need to take the sum of these

100+520=620

the answer is C good luck!