|After four games a hockey team had scored an
average of 6 goals per game.
How many goals would the team need to score in
its fifth game to have an average of 8 goals for the
five games played?

Answer:

h = 1053 ft (to the nearest foot)

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Therefore, the angle at the bottom vertex of the triangle is:

180 - 69.2 - 65.5 = 45.3°

Sine rule:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

where A, B and C are the angles in a triangle, and a, b and c are the sides opposite those angles (e.g. side a is opposite angle A).

Now we can use the sine rule to calculate the length of the diagonal sides of the triangle.

Let a = the length of the right diagonal (the side with unknown length adjacent to angle 65.5°)

[tex]\dfrac{a}{\sin(69.2)}=\dfrac{880}{\sin(45.3)}[/tex]

[tex]\implies a=1157.353973...[/tex]

Now we can use the sine trig ratio to determine h:

[tex]\sin(65.5)=\dfrac{h}{1157.353973...}[/tex]

[tex]\implies h=1053.147292...[/tex]

Therefore, h = 1053 ft (to the nearest foot)

Answer:

  1053 feet

Step-by-step explanation:

We choose to solve this problem using the tangent relation. It relates an acute angle to the adjacent and opposite legs of a right triangle.

  Tan = Opposite/Adjacent

  Opposite = Adjacent × Tan

__

For this to be useful here, we need to know the angles at the bottom of the figure. The left-side angle is 90° -69.2° = 20.8°. The right-side angle is 90°-65.5° = 24.5°. The tangent relation tells us ...

  bridge left side + bridge right side = 880 ft

  h×tan(20.8°) +h×tan(24.5°) = 880 ft

  h = (880 ft)/(tan(20.8°) +tan(24.5°)) = (880 ft)/(0.37986 +0.45573)

  h ≈ 1053.147 ft

The bridge is about 1053 feet high.

Answer:

x < 5

Explanation:

 7*x-35-(2*(x-5))<0

 (7x - 35) -  2 • (x - 5)  < 0

Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  < 0

Divide both sides by  5

Add  5  to both sides

x < 5

Answer:

D

Step-by-step explanation:

Equation of a line given by the two-point form is:

(y-y1)/(x-x1) = (y1-y2)/(x1-x2)

(y-(-1))/(x-1) = (-1-3) / (1-2)

(y+1)/(x-1) = -4 / -1

y+1 = 4(x-1)

y = 4x-4-1

y = 4x - 5

y-intercept at x=0 is -5

Answer is D.

Solution:

We know that:

Picking any point:

Using point slope form:

Comparing the equation with the formula:

⇒ m = slope = 4

⇒ b = y-intercept = -5

Answer:

5.75x2=11.5

Step-by-step explanation:

Jane spend $11.15 for lunch during 10 school days.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Jane spends $5.75 for lunch during 5 school days.

Hence, We get;

The amount spend money for lunch during 10 school days is,

⇒ $5.75 × 10 / 5

⇒ $5.75 × 2

⇒ $11.15

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

30.9717685346

Step-by-step explanation:

Answer:

3+p=12

Step-by-step explanation:

Answer:

3 + p = 12

Step-by-step explanation:

3 + p = 12. Its really easy. Hope this helps :)

Answer:

5b + 4 = 89

b = 17

Step-by-step explanation:

Work shown in picture! Hope this helped.

Answer:

60 ft^3

Step-by-step explanation:

assuming the entire height is nine

4.5 * 4 * 5 /3=30

30*2=60

Answer:

Step-by-step explanation:

Length = x

3 times of length = 3*x = 3x

5 metre more than 3x = 3x + 5

Breadth  = 3x + 5

Answer:

False

Step-by-step explanation:

8^3=512

12x6=3072

3072=230

The numbers dont match.

Hence, the equation is false.

Answer:

Not true

Step-by-step explanation:

= 8³ x 6

= 8 x 8 x 8 x 6

= 64 x 48

= 3072

3072 ≠ 230

=> Not true

Answer:

0.003

Step-by-step explanation:

Recall for a p-value, it must be a value that is as extreme and more extreme than the test statistics. If we go to the chart for the z-score and go to the row of -2.7 and to the column 0.04, we can see the value is 0.0031 or 0.003. Since the test is a one-tailed test (note that  is less than, "<"), this is the p-value.

Answer:

(x,y)=(-2,3)

Step-by-step explanation:

Quotient :  2x⁴ - 4x³ - 7x² + 5x + 1 

Remainder :  10 

Answer: y ≥ -1/3x + 2

Step-by-step explanation:

y - intercept = 2

To find the slope, subtract the given points:

2 - 4

_____ = -2/6

0 - (-6)

Simplify:

-2/6 = -1/3

The line is solid, which means solutions are included on the boundary line.

y ≥ -1/3x + 2

Answer:

12, 20, 28

Step-by-step explanation:

The equation s=r+4 shows that no matter the value of r, s will always be 4 more. This means that whatever number is in the r-value of the table, you need to add 4 to it to get your s-value. So when r=8, s=12 and so on.

Answer:

i think it’s 260 too^^

Step-by-step explanation:

The total Amount Spent by the volleyball team spend on shirts from the given piecewise function is; $260

From the given piecewise function, we see that;

y = {13n, 0 < n ≤ 20

y = {11n, 20 < n ≤ 50

y = {9n, n > 50

We are told that the volleyball team purchased 20 shirts.

From the first piecewise function, we can deduce that;

Amount Spent = 13n = 13 * 20

Amount Spent = $260

Read more about Piecewise function at; https://brainly.com/question/4494373

Step-by-step explanation:

Hello, first you have to substitute x=-3 in 12-3x which is 12-3(-3)= 12+9=21. So number 1 is 21. You continue like that till you finish.

2. You substitute x=-3 in y=x^2 +3x - 2. So that would be y= - 3^2+3(-3)-2. Which is 9+(-9)-2 which will be 9-9-2=-2. So the first blank space for number 2 is - 2.

Answer:

$8.05

Step-by-step explanation:

This answer is found by making an equation that represents this word problem which uses the formula %(decimal form)(original price).

Using this formula, the equation representing this word problem is 0.15(7).

When evaluated, gives us $1.05 (the mark up).

Then, this must be added to the original price using the formula (original price+mark up);

1.05+7.00

Answer= $8.05

Answer:

12 56 m²

Step-by-step explanation:

Radius r = 4/2 = 2 m

Area = π(2)² = 3.14 * 4 = 12 56 m²

Answer:

6root2

Step-by-step explanation:

3-1,5-1. (2,4)

R=root(4+16). =6root 2

Answer:

1/2

Step-by-step explanation:

Let's consider the number we want is x

x-3/10=1/5

On both sides of the equation, if we substract (or add) a certain number, say 3/10, the equality relation still exists.

That is x-3/10+3/10=1/5+3/10

Then x=1/5+3/10

You see 1/5+3/10=2/10+3/10=1/2

So x=1/2

Answer:

Step-by-step explanation:

Rhombus: All sides are congruent,  2 pairs of parallel sides,

Parallelogram: 2 pairs of parallel sides,

Square: All sides are congruent,  2 pairs of parallel sides, four right angles

Answer: 180.5

Step-by-step explanation:

[tex]\sqrt{121^{2}+134^{2}} \approx 180.5[/tex]

First,

Answer:

if f(x)=3×-2and g(x)=-x+1then so f=3×andx=-2 so the answer is 3×3×-2