Brian is driving 168km to visit some friends . He wants to get there in 6 hours . How many kilometers does he need to drive each hour

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Solution given;

length[l]=20cm

for trapezoid

side 1=37cm

side 2=15cm

height[h]=25.7cm

we have

volume =area of trapezoid *length

the volume of the figure13364cm³.

Answer:

1. tan(x) = 9/20

arctan(9/20) ≈ 24.23°

2. cos(x) = 17/32

arccos(17/32) ≈ 57.91°

3. tan(x) = 13/18

arctan ≈ 35.84°

4. sin(x) = 21/28

arcsin(21/28) ≈ 48.59°

Answer:

1    x = 24.2°

2    x = 57.9°

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these problems are easy

1:   tan = opposite side/adjacent side

opp side to x is 9 and adjacent side is 20

So, tan x = 9/20

x = arctan (9/20) = 24.2°

2:   cos = adjacent side/hypotenuse

adjacent side = 17 and hypotenuse = 32

cos x = 17/32

x = arccos (17/32)

x = 57.9°

You do 3 and 4.  Hint:  Use the tan function in 3 and the sine function in 4

OK?   You can do it!!!!

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

The equations are :

-3x + 4y = 7. - [1]

2x + y = -1 - [2]

[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]

multiply equation [2] with 4

[tex] \longrightarrow(2x + y = -1 ) \times 4[/tex]

[tex] \longrightarrow8x + 4y = - 4[/tex]

[tex] \underline{ \underline{ \bf{step} -2}}[/tex]

subtract equation [1] from [2]

[tex] \longrightarrow8x + 4y - ( - 3x + 4y) = - 4 - 7[/tex]

[tex] \longrightarrow8x + 4y + 3x - 4y = - 11[/tex]

[tex] \longrightarrow11x = - 11[/tex]

[tex] \longrightarrow \: x = - 1[/tex]

[tex] \underline{ \underline{ \bf{step} - 3}}[/tex]

plugging the value of x in equation [1]

[tex] \longrightarrow- 3x + 4y = 7[/tex]

[tex]\longrightarrow - (3 \times - 1) + 4y = 7[/tex]

[tex]\longrightarrow3 + 4y = 7[/tex]

[tex]\longrightarrow4y = 4[/tex]

[tex]\longrightarrow \: y = 1[/tex]

[tex] \#TeeNForeveR[/tex]

Sum of two number = 95

Let the first number be x, then another number be x + 15.

According to the question, x + x + 15 = 95

=>2x+15=95

=>2x+15-15=95-15

=>2x=80

=>x=40

Hence, the first number = 40

And another number = 40 + 15 = 55.

Answer:

sure

Step-by-step explanation:

Answer:

7.5 for 6 pounds

Step-by-step explanation:

Answer:

40 words per minute

Step-by-step explanation:

[tex]\frac{1}{y} :\frac{3}{120}[/tex]

y · 3 = 1 · 120

3y = 120

3y ÷ 3 = 120 ÷ 3

y = 40

Answer:

1. 40 words per minute

Step-by-step explanation:

3 minutes = 120 words

1 minute = 120/3 = 40 words

answer:

∠B = 70°

step-by-step explanation:

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

4(8) + 38

32 + 38

= 70

Answer:

35

Step-by-step explanation:

anything that gives u the same answer which is 35. so it can be 9+ 26 or 11+ 24 or 10+15 and so on

Answer:

35

Step-by-step explanation:

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Angle D:

value of angle across is equal to angle D = 122

Angle E:

value of angle across is equal to angle E = 30

Angle F:

180 - 122-30

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Answer:

(i)  29 : 6

(ii)  5 : 29

(iii) 6 : 5

Step-by-step explanation:

Step-by-step explanation:

So visually youre given the function

for h(-4) it can also be written as h(-4) = y

what do you get for y when you substitute - 4 for x?

All you have to do is trace the line until you get to x=-4 and then find the y that corresponds to it (looks like around y= - 1)

for the other one h(x) = - 5

what do you get for x when you substitute - 5 for y?

what you do is similar, trace the line along the y-axis and see what x-value you get for y =-5

Answer:

3 and x = 0

Step-by-step explanation:

To find the value of h(- 4)

Locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 3 )

Then the value of h(- 4) = 3

For h(x) = - 5

Locate y = - 5 on the y- axis. This is the point (0, - 5)

then the value of x for which h(x) = - 5 is x = 0

Step-by-step explanation:

[tex] \frac{1}{3} \pi {(6)}^{2} (9) \\ \frac{1}{3} \pi(36)(9) \\ \frac{1}{3} \pi(324) \\ 108\pi \\ 339.3 {cm}^{3} [/tex]

Answer:

Step-by-step explanation:

so if x = 3 4 5 6

then

y=3x3+3

y=12

y=4x3+3

y=15

y=5x3+3

y=18

y=6x3+3

y=21

The error is when she added 4 to both sides.

Instead, she should divide both sides by -4 to undo the multiplication. Specifically, the multiplication between the -4 term and the (x-2)^2 term.

This is one possible correction of what her steps could look like.

[tex]y = -4(x-2)^2\\\\\\0 = -4(x-2)^2\\\\\\\frac{0}{-4} = \frac{-4(x-2)^2}{-4}\\\\\\0 = (x-2)^2\\\\\\(x-2)^2 = 0\\\\\\\sqrt{(x-2)^2} = \sqrt{0}\\\\\\x-2 = 0\\\\\\x-2+2 = 0+2\\\\\\x = 2\\\\\\[/tex]

In the third step, I'm dividing both sides by -4. In the sixth step, I'm applying the square root to both sides to undo the squaring operation. Then two steps later, I'm adding 2 to both sides to undo the "-2", which helps fully isolate x.

The only solution is x = 2, so it's the only x intercept. You can verify this answer by plugging x = 2 back into the original equation at the very top. You should end up with y = 0.

Note: The term "root" is another name for "x intercept".

Answer:

The number of students who spend 4 hrs or more for reading = 25/100 = 1/4

we know 100 is a factor of 300

so equivalent fraction of (25/100)

× 3 = 75/300 = 1/4

.°.The simplest answer = 1/4 = 75/300

Hope it helps

Answer:

$330

Step-by-step explanation:

to find how much he earned before raise:

1.2x = 1980

x = 1980/1.2

x = 1650

current salary: 1980

former salary: 1650

he makes $330 more

Answer:

330

Step-by-step explanation:

Answer:

40 points

Step-by-step explanation:

40 + 20 = 60

100 - 60 = 40

so round three equals 40 points

Answer:

60 points in round 3

Step-by-step explanation:

Since the total is 100, and they already got 40 points (from round 1 and 2) then just subtract them from the total to find what you got in round 3.

Step-by-step explanation:

7pi/6 radians = 7×180° /6 = 210°

Answer:

18

Step-by-step explanation:

No of people joined=3

let x be people in begning

atq 3= 20/100x

x=20/100*3=15

no of people now=15+3=18

The other choices are false, so choice C is the only solution here.

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Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

Answer:

Area = 109 ft^2

Step-by-step explanation:

Area of shaded part = (16 ft)(9 ft) - (7 ft)(5 ft)

= 144 ft^2 - 35 ft^2

= 109 ft^2

Answer:

you are absolutely correct .........