Item 20 Two groups leave on different flights from the same airport. Group A flies 130 miles due west, then turns 24° toward north and flies 45 miles. Group B flies 130 miles due north, then turns 32° toward east and flies 45 miles. Which group is farther from the airport?

Answer:

11

Step-by-step explanation:

14/14=154/14

g=11

Answer:

B. 11

Step-by-step explanation:

14g = 154

[given]

14g ÷ 14 = 154 ÷ 14

[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]

g = 154 ÷ 14

[division property, how many times does 14 fit in 154?]

g = 11

________

11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.

g = 11 → 14g = 154

14(11) = 154

154 = 154 ✓

Step-by-step explanation:

977.85-2.5%= 953.40

977.85-953.40= £24.45 potentially saved.

Answer:£23.85 is your answer.

x+2.5%ofx=£977.85

x(1+2.5/100)=£977.85

x=£977.85/(1.025)=954

saving money will be =£977.85-954=£23.85

Answer:

6

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

Answer: R = √(3*r^2)

Step-by-step explanation:

For a cylinder with radius r and height H, the volume is:

V = pi*r^2*H

For a cone of height H, and with a base of radius R, the volume is:

V = (1/3)*pi*R^2*H

In this case, we know that both figures have the same height, and the same volume, then we can write:

pi*r^2*H = (1/3)*pi*R^2*H

Now we can divide by pi in both sides to get:

(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi

r^2*H = (1/3)*R^2*H

Now we can divide both sides by H:

(r^2*H)/H = ((1/3)*R^2*H)/H

r^2 = (1/3)*R^2

Now we want to write R in terms of r.

Then we need to isolate R in the above equation:

r^2 = (1/3)*R^2

3*r^2 = R^2

√(3*r^2) = R

R = √(3*r^2)

Answer:

576.09

Step-by-step explanation:

Answer:

7  and 1/10; 7.1

Step-by-step explanation:

the marks on the line each mean 0.1  when hitting 8 therefore meaning 1.0 but the last marked 0.1 is just 7.9

Answer:

A= 4

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

a)

[tex] \frac{20}{ \sqrt{10} } = \frac{20 \sqrt{10} }{ \sqrt{10} \times \sqrt{10} } = \frac{20 \sqrt{10} }{10} = 2 \sqrt{10} [/tex]

b)

[tex] \frac{ \sqrt{2} }{2 \sqrt{5} - 1 } \\ \\ = \frac{ \sqrt{2} \times (2 \sqrt{5} + 1 )}{(2 \sqrt{5} - 1)(2 \sqrt{5} + 1) } \\ \\ = \frac{ \sqrt{2} \times 2 \sqrt{5} + \sqrt{2} \times 1 }{(2 \sqrt{5} ) ^{2} - (1)^{2}} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{20 - 1} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{19} \\ \\ equating \: it \: with \: \\ \frac{ a + \sqrt{b}}{c} \\ \\ a = 2 \sqrt{10} \\ \\ b = 2 \\ \\ c = 19[/tex]

Answer:

The above answer is correct

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Answer:

1/12

Step-by-step explanation:

1/6 divided by 2 = 1/12

Answer:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

Answer:

144

Step-by-step explanation:

12 times 12= 144

Answer:

6 inches high

Step-by-step explanation:

Answer: I can help you....

Step-by-step explanation:

Just copy and pase the question into the go og le sea rc h e ng in e, theres like a 50% chance u will find a similar question just with the words changed up or u will find the exact one. Hope this will help you!

Answer:

5x2^5 is 160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

2^5 is 32. 32 x 5 is 260.

Hope it helps!

Answer:

Step-by-step explanation:

x2 - x - 12

x2 - 4x + 3x - 12

x(x - 4) +3(x - 4)

(x - 4) (x + 3) are the factors

Answer:

2.1

Step-by-step explanation:

So you have to reverse the order to get y, so you multiply 7 and .3 because that is the opposite of division

your answer is 2.1

Answer: -21, what ever number you have you subtract 3 from that number. So after -9 would be -12 and so on

Answer:

-729

Step-by-step explanation:

Given is a geometric sequence.

Therefore,

a = - 1, r = - 3 /(-1) = 3, n = 7

[tex] a_7 =? [/tex]

[tex] \because a_n = ar^{n-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{7-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{6} [/tex]

[tex] \therefore a_7 = (-1)(729) [/tex]

[tex] \therefore a_7 = -729 [/tex]

Answer:

11. 35 ft²

12. 24 cm²

13. 18 ft²

14. 28 in²

15. 9 in²

Step-by-step explanation:

11. A= (b×h)÷2

= (10×7)÷2

= 70 ÷ 2

= 35 ft²

12. A= (b×h)÷2

= (8×6)÷2

= 48 ÷ 2

= 24 cm²

13. A=(b×h)÷2

=(9×4)÷2

= 36 ÷ 2

= 18 ft²

14. A=(b×h)÷2

=(7×8)÷2

= 56 ÷ 2

= 28 in²

15. A=(b×h)÷2

=(3×6)÷2

= 18 ÷ 2

= 9 in²

Good luck ^_^

Hope this answer your question

Answer:

14

Step-by-step explanation:

All of the angles are marked as congruent, which means it is an equlateral triangle. This means that all of the sides are congruent too.

Therefore z + 2 = 2z -10

add 10 to each side

z + 12 = 2z

subtract z from each side

12=z

now that we know that, we can plug it back in to either line (it doesn't matter because they're congruent)

line AB is z+2 which is 12+2 or 14

and line CB is 2z-10 which is 2(12)-10 or 24-10 which is also 14

so line CA is also 14 units long.

Answer:

i have the same question and i think

A. 26.88

B. 80.68

Step-by-step explanation:

Answer:

station A

Step-by-step explanation:

Given data

We are told that she has  $85 and she wants to fill only her tank

station A

charges $2.67 per gallon

12 gallons will cost

=12*2.67

=$32.04

station B

charges $2.60 per gallon

12 gallons will cost

=12*2.60

=$31.2

station C

charges $2.62 per gallon

12 gallons will cost

=12*2.62

=$31.44

The cheapest is station A

Answer:

5.  Since ∠CBD ≅ ∠CDB and ∠BAE ≅ ∠DEA, ΔABD and ΔBDE are equal. Therefore, the distances AD and EB are the same.

6.  Since ∠EBC ≅ ∠ECB and AE ≅ DE, ΔABE and ΔCDE are equal. Therefore, the distances AB and DC are the same.

I hope this helps!

Answer:

ΔCBD is isosceles as angles B and D are congruent

ΔCAE is also isosceles as angles A and E are congruent

CA ≅ CE as the triangle ΔCAE is isosceles

AD ≅ EB - corresponding parts of congruent triangles

ΔAEB ≅ ΔDEC - SAS congruency theorem

AB ≅ DC - corresponding parts of congruent triangles

Answer:

This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

Answer:

the answer is 10.5m

Step-by-step explanation:

14.2m+3-2.1m+4.6

= 17.2m-2.1m+4.6

= 17.2m-6.7m

= 10.5m

the answer is 10.5m

Answer:

12.1m + 7.6

Step-by-step explanation:

14.2m + 3 - 2.1 + 4.6

Group like terms:

14.2 - 2.1 + 3 + 4.6

Add similar elements:

14.2m - 2.1m = 12.1m=

12.1m + 3+ 4.6

Add the numbers: 3 + 4.6 = 7.6=

12.1m + 7.6.

Answer:

for some reason i cant see ur attachment. lo siento

Answer:

a

Step-by-step explanation:

Answer:

A?

Step-by-step explanation:

Answer:

I hope I can help

Step-by-step explanation:

welcome po

Answer:

What is your question dude???

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

I just did It :). it went clockwise which is why it's NEGATIVE 30. If it were point D, it'd probably be about 60 degrees or so.

Answer:

[tex]V=3141.59\ \text{feet}^3[/tex]

Step-by-step explanation:

Given that,

The height of the pile, h = 25 feet

The radius of the pile, [tex]r=1.2\times 10^2\ ft[/tex]

We need to find the volume of the pile of cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \times (1.2\times 10^2)\times 25\\\\V=3141.59\ \text{feet}^3[/tex]

So, the required volume of the pile is [tex]3141.59\ \text{feet}^3[/tex].