The time required to drive a fixed distance varies inversely as the speed. It takes 2 hr at a speed of 200 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 80 km/h?

Round the approximate value however you need to

Units are in square centimeters.

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Work Shown:

You have the 160 portions correct since 20*8 = 160.

The other pieces are equilateral triangles, in which we use the formula

[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]

where x is the side length of the triangle. Plug in x = 8 to get

[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]

That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]

The total surface area is the sum of all the smaller areas

[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]

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

The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.

Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]

Round this however you need to.

Answer:

a=6.25 unit^2

Step-by-step explanation:

Given:

A=30°

b=5

c=2½

Required:

a=?

Formula:

a=½b*h

Solution:

a=½b*h

=½5*2½

=½*5*5/2

=0.2*5*5/2

=2.5*5/2

=2.5*2.5

=6.25 unit^2

Hope this helps ;) ❤❤❤

Answer:

The answer is B or 3 1/8

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given Patricia puts in x frogs legs, then

Sheila puts in x + 5 ( 5 more than Patricia )

Anne puts in 2(x + 5) ( double the amount of Anne )

Winifred puts in 3(x + 5) ( three times the number of Sheila )

Answer:

1/49

Step-by-step explanation:

If you add this is the calculator, I think it will come out.

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▹ Answer

1/49

▹ Step-by-Step Explanation

7^-5/6 * 7^-7/6

= 1/7²

= 1/49

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

17C5+11C5

Step-by-step explanation:

Well there are 17 and chooses 5 that's 17C5

there are 11 men abd chooses 5 that's 11C5

so add them up

17C5+11C5

The combination helps us to know the number of ways an object can be selected without a particular manner. The number of ways in which 5 men and 5 women can be selected is 2,858,856.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be selected without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that from a group of 17 women and 11 men, a researcher wants to randomly select 5 women and 5 men for a study.

Now, the number of ways for selection can be written as,

Number of ways in which men can be selected = ¹¹C₅ = 462

Number of ways in which women can be selected = ¹⁷C₅ = 6188

Further, the number of ways for selection can be written as,

Number of ways = Number of ways in which men can be selected × Number of ways in which women can be selected

Number of ways = 462 × 6188

Number of ways = 2,858,856

Hence, the number of ways in which 5 men and 5 women can be selected is 2,858,856.

Learn more about Permutation and Combination here:

https://brainly.com/question/11732255

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Answer:

24

Step-by-step explanation:

Answer

24!

Step-by-step explanation:

Person above me is correct :)

Answer:

Theresa's height=60 inches

Paul's height= Steve's height=74 inches

Step-by-step explanation:

Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa ?

Let

p=paul's height

s=steve's height

t=theresa's height

Paul's height = Steve's height

p=s

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

1 1/2 * t -16

=3/2t -16

Steve says he is 6 inches shorter than 1 1/3 times Theresa's height

1 1/3 * t - 6

=4/3t - 6

P=S

3/2t -16 = 4/3t - 6

Collect like terms

3/2t-4/3t= -6+16

9t-8t/6 =10

t/6=10

Cross product

t=60

Theresa's height=60 inches

P=3/2t -16

=3/2(60) -16

=180/2 -16

=90-16

=74 inches

p=s

Paul's height=74 inches

Answer:

97.85

I hope this helps!

Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

Answer:

y = 2x - 3

Step-by-step explanation:

gradient of the line is

[tex] \frac{9 - 5}{6 - 4 } = 2[/tex]

equation will be:

[tex] \frac{y - 5}{ x - 4} = 2[/tex]

y - 5 = 2x - 8

y = 2x - 3

Step-by-step explanation:

Using distance formula:

√(- 7 - (-5))² + (3 - 2)²

√(- 7 + 5)³ + 1²

√(-2)² + 1

√4+1

√5

Answer:

25000000

5000 X 10 is 50000

50000 X 10 is 500000

500000 X 50 is 25000000

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

A way to tackle this is to split all the numbers up into a digit and a power of 10.

5000 = 5*1000, and 1000 can be written as 10^3

10 = 1*10, and obviously 10 is 10^1

50 = 5*10, where 10 is 10^1

Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)

Gathering all the digits, we have 5*1*1*5, giving us 25

Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6

expanding and multiplying gives us the final answer of 25000000

Answer:

594

Step-by-step explanation:

1782/3 = 594.

To if the answer is correct, you do this:

594 × 3 = 1782.

Step-by-step explanation:

c

Answer:

Apartment 207 is a second floor apartment in Building 2.

Step-by-step explanation:

Since one building has four first floor apartments, then I'd think all buildings have 4 apartments per floor. Since one building has first floor apartment numbers 109, 110, 111, and 112, then I'd think there is a building with first floor apartment numbers 101, 102, 103, and 104, and another building with first floor apartment numbers 105, 106, 107, 108.

Building 1 First floor: 101, 102, 103, 104

Building 2 First floor: 105, 106, 107, 108

Building 3 First floor: 109, 110, 111, 112

Building 2 Second floor: 205, 206, 207, 208

Apartment 207 is a second floor apartment in Building 2.

frustum of a cone is: = pi * l(R + r)

(l) = slant height of the frustum.

from 2929.645714 - 506.1257143

= 2423.52

= 2423.5cm

Answer:

from 2929.645714 - 506.1257143

= 2423.52

= 2423.5cm

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

When the points that line N passes through are graphed, they form a vertical line.

All vertical lines have an undefined slope.

We can also check if it's undefined by finding the slope.

[tex]m=\frac{-4-4}{-1+1}=\frac{-8}{0}[/tex]

The quotient would be undefined. You cannot divide by zero.

Hope this helps.

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

Did the quiz wanted to help people.

Answer:

3

Step-by-step explanation:

2 tangents of a circle drawn from an external point are said to be congruent, according to the two-tangents theorem. Thus:

MN = ML (both tangents from external point M)

ML = 6 - KL

KL = KJ (tangents from point K)

PQ = QJ = 1 (tangents from point Q)

Therefore, KJ = 4 - 1 = 3

Since kJ = KL = 3,

ML = 6 - KL = 6 - 3

ML = MN = 3

Answer:

[tex]\boxed{ \{7, 6, 5, 3 \} }[/tex]

Step-by-step explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

[tex]f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3[/tex]

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.

Answer:

The approximate value of the scale is 1:67

or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)

Step-by-step explanation:

Here, we want to figure out the scale in inches of the drawing to the actual object.

The actual object is 500 ft by 700 ft

while the drawing is 90 inches by 126 inches

Mathematically, we know that 12 inches = 1 foot

So the actual object will be;

500(12) by 700(12)

= 6000 inches by 8400 inches

Now let’s make a division to get the scale;

6000/90 by 8400/126

we get 66.67 as answers on both ends

This is approximately equal to 67

So the scale we have here is 1:67

Answer:

The prime factors are: 3 x 3 x 17 x 17. or also written as { 3, 3, 17, 17 }

Step-by-step explanation:

Person above agrees

Step-by-step explanation:

First you have to add up all of the numbers that make up the perimeter of this arrow.

3+3+1+.5+.5+1.8+1.8=11.6

You than want to divide this number by 2 to find the half perimeter you have to work with, which is 5.8.

A simple shape you can make is a square, with each side being 1.45 m.

Answer:

Formula for an opened end of a cylinder =

[tex]\pi r^2 +2\pi rh\\[/tex]

Closed at both end =

[tex]2\pi r^2 +2\pi r h[/tex]

Opened at both end =

[tex]2\pi rh[/tex]

Step-by-step explanation:

Answer:

Amount after 8 month (A) = $3775 (Approx)

Step-by-step explanation:

Given:

Amount invested (P) = $3,700

Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly

Number of month (n) = 8 month

Find:

Amount after 8 month (A)

Computation:

[tex]A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676[/tex]

Amount after 8 month (A) = $3775 (Approx)

Answer:

dependent

Step-by-step explanation:

This is a dependent event.  There is one less marble in the bag to choose from

Say there was 1 red marble and 4 blue marble.  You drew the red marble on the first pick, now you cannot get a red marble on your second pick.

If you drew a blue marble on the first pick you could get a red marble on the second pick.

So what happens on the first pick affects the second pick

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

[tex]3x+2y=2\\2x-y=6[/tex]

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]

Next, use elimination to find the value of "x":

[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

Answer:

Step-by-step explanation: