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Given:

Daniel bought a bicycle for $80 and a helmet for $20.

Sales tax = 5%

To find:

The total amount of both items including tax.

Solution:

Price of bicycle (excluding tax)= [tex]\$80[/tex]

Price of helmet(excluding tax) = [tex]\$20[/tex]

Price of both items = [tex]\$80 + \$20[/tex]

                                =[tex]\$100[/tex]

Now, the sales tax is 5%. So,

Price of both items (including tax) = [tex]\$100+\dfrac{5}{100}(\$100)[/tex]

                                                        = [tex]\$100+\$5[/tex]

                                                        = [tex]\$105[/tex]

Therefore, the Daniel pays $105 for the two items, including tax.

Answer:

Q5: S.A = 216 cm²

Q6: S.A = 254 cm²

Step-by-step explanation:

Q5:

Surface area of a cube = 6a²

a = 6 cm

Plug in the value of a

Surface area of the cube = 6(6²)

= 6(36)

S.A = 216 cm²

Q6:

Given:

Length (L) = 9 cm

Width (W) = 4 cm

Height (H) = 7 cm

Required:

Surface area

Solution:

Surface area of the rectangular prism = 2(LW + LH + HW)

Plug in the values

S.A = 2(9*4 + 9*7 + 7*4)

= 2(36 + 63 + 28)

= 2(127)

S.A = 254 cm²

Answer:

the answer is f(2)= - 1

Step-by-step explanation:

i took the test i failed it but i get that right.

Answer:

f(2) = -1

Step-by-step explanation:

took the test

Answer:

1

Step-by-step explanation:

→ Write down slope formula

[tex]\frac{y2-y1}{x2-x1}[/tex]

→ Identify the values

y₂ = 9, y₁ = 6, x₂ = 6 and x₁ = 3

→ Substitute in values into formula

[tex]\frac{9-6}{6-3}[/tex]

→ Simplify

1

Answer:

45

Step-by-step explanation:

Answer:

1rotation translation dilation

2dilation

3the relationship is the shapes are the same just dilated and in different spots. The shapes are in different spots and are different sizes ut they are the same shape making them related.

Step-by-step explanation:

Answer:

1. x = 58

2. x = 44

Step-by-step explanation:

#1:

2x + 5 + x + 2x + 7 + x = 360

Step 1: Combine 2x, x, 2x, and x to get 6x.

6x + 5 + 7 = 360

Step 2: Add 5 & 7 to get 12.

6x + 12 = 360

Step 3: Subtract 12 from both sides

6x = 360 - 12

6x = 348

Step 4: Divide both sides by 6.

x = 348/6

x = 58

#2:

3x + 2 + 2x + 2x + 1 + x + 5 = 360

Step 1: Combine like terms.

8x + 2 + 1 + 5 = 360

8x + 8 = 360

Step 2: Subtract 8 from both sides.

8x = 360 - 8

8x = 352

Step 3: Divide both sides by 8.

x = 352/8

x = 44

Answer:

D.39

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2 (Where a and b are the legs of the triangle and c is the hypotenuse)

Using this:

(AB)^2+(AC)^2=(BC)^2 (Pythagorean theorem)

15^2+36^2=(BC)^2 (Substitution)

225+1296=(BC)^2

(BC)^2=1521

BC=39

Answer:

D. 39

Step-by-step explanation:

The three interior angles of a right triangle always have a sum of 180°, and right angles always equal 90°.

Adding the angles shown here,

36+15+90 = 141

And, 180 - 141 = 39°.

Therefore, the length of angle BC is 39°.

Answer: pentagonal pyramid

Step-by-step explanation:

It’s a pentagon

Answer:

the answer is A the pentagonal pyramid

Step-by-step explanation:

Answer:

2.99792458 × 10∧8 m/s

Step-by-step explanation:

If you want you can shorten the decimal number. m/s means meters per second.

Answer:

Hello! your answer would be, 4 HOURS

Step-by-step explanation:

38 - 10 = 28

28 / 7 = 4

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer: 5

Step-by-step explanation: 180-175=5

Step-by-step explanation:

the ratio Niam:Owen

2:5

total ratio is 2+5=7

Niam's fraction=2/7*35

= £10

owen's fraction = 5/7*35

=£25

Answer:

39

Step-by-step explanation:

Answer:

V≈24429.02

Explanation:

V= [tex]\frac{4}{3}[/tex] π r³

Answer:

X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.

Answer:

For number one it would be a closed circle poiting to the left because it is a negative number and it is not equal to or less than anything.

For number 2 a possible solution will be 2^2-2 which would equal 2 because 2^2=4 then 4-2=2

I hope this helps you!!

Answer:

80

Step-by-step explanation:

Answer:

(x-1.3)^2 + (y+3.5)^2 = 37

In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.

So if the circle with radius 5 has center (3,-4) then it's equation is:

(x-3)^2 + (y+4)^2 = 25

Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4

Answer:

C

Step-by-step explanation:

Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:

[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]

At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:

[tex]H_0: p = 0.65[/tex]

At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:

[tex]H_\alpha: p \neq 0.65[/tex]

More can be learned about an hypotheses test at https://brainly.com/question/26454209

Plot the point (-7, -5). We are in quadrant 3.

We also know that tan θ = opp/adj.

Cot θ = adj/opp.

Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.

Look: (-7)^2 + (-5)^2 = r^2

If you should ever need to find r, do this:

(-7)^2 + (-5)^2 = r^2

(49) + 25) = r^2

74 = r^2

Take the square root on both sides of the equation to find r.

sqrt{74} = sqrt{r^2}

sqrt{74} = r

It is ok to simplify the sqrt{74} but not needed.

We now have the three sides of the triangle that is form in quadrant 3.

We can now read cot θ from the triangle itself.

So, cot θ = adj/opp = (-7)/(-5) or 7/5.

No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.

Answer:

I think we are missing part of the question.

But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.

On the way home, it was 14 students in the van and 42 students in the bus,   the ratio changes to 1:3

Answer:

See Explanation

Step-by-step explanation:

Given

New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]

We can assume the parent function to be:

[tex]y = \cos (x)[/tex]

The new function can be represented as:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]

[tex]A = 3[/tex]

[tex]c = \pi[/tex]

[tex]\frac{2\pi}{B} = 10[/tex]

Solve for B

[tex]B = \frac{2\pi}{10}[/tex]

[tex]B = \frac{\pi}{5}[/tex]

Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:

Answer:

0,9 maby this is  awser

Step-by-step explanation:

plz tell me if this helps