Find the value of x , then find the measure of angle A ( show your work ).

Answer:

Ram studied for longer time

Step-by-step explanation:

An hour = 60 minutes

Raj studied for 4/7 of an hour

= 4/7 of 60 minutes

= 4/7 × 60

= (4×60)/7

= 240/7

= 24.29 minutes

ram studied for 5/8 of an hour

= 5/8 of 60 minutes

= 5/8 × 60

= (5×60)/8

= 300/8

= 37.5 minutes

who studied for longer time?

Ram - Raj

= 37.5 - 24.29

= 13.21 minutes

Ram studied for longer time

Ram studied 13.21 minutes longer than Raj

Answer:

3 7/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

improper fraction you take the whole number, multiply it by the denominator and add the numerator. That number goes on top and you keep the denominator the sam.

2 1/2 in an improper fraction is 5/2

1 3/8 in an improper fraction is 11/8

keep change flip

keep the first fraction

change multiplication to division and flip the second fraction

5/2 x 11/8

5/2 divided by 8/11

answer is 3 7/16

Answer:

34 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) There are 850 total teens and 32% like rock.

32% of 850 = 0.32*850 = 272 teens like rock

B) 75% of teens = 150 teens. Make total teens = x. 75%x = 150

0.75x = 150

x = 200 teens like pop

C) well...

There are 50 students who bike to school every day and there are 200 students who walk to school every day. According to this information, the number of students who walk to school is 300% more than those who bike to school.

*I hope the last one is what you were looking for... if not, tell me in comments*

Answer: 2 2/3 cups of flour

Step-by-step explanation:

Maggie is baking 8 dozen cookies.

8 dozen is equal to 96 cookies as 8×12=96

One recipe is equal to 24 cookies and for each recipe she'll need 2/3 cup of flour.

So you divide 96 by 24 which is equal to 4.

Therefore, you will need 4 recipes worth of flour.

4×2/3=2 2/3

So Maggie would need 2 2/3 cups of flour

Answer:

£4113.70

Step-by-step explanation:

Given that:

143 people pay ; out of which 38 are under 16 ;

Hence ; 143 - 38 = 105 are over 16

Under 16 = £17.90

£17.90 * 38 = £680.20

16 and Over : = £32.70

£32.70 * 105 = £3433.50

£(680.20 + 3433.50) = £4113.70

Answer:

Since 2=6 is false, there is no solution.

Step-by-step explanation:

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

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

Therefore, we have;

[tex]\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}[/tex]

[tex]\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}[/tex]

[tex]sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi[/tex]

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

Answer:

Step-by-step explanation:

The number of defective laptops = 6/145 * 100 as a percent.

The number of defective laptops = 4.13% in a sample of 145

A: False. The percentage should be the same for 290 laptops. The % does not change. The number of defective laptops will change (12)

B: True. It is a reason assertion that about 4% of all laptops will be defective.

C: True. It is not reasonable to assume that only 0.5 laptops will be defective. .5% is too small.

D: True. 10% is too high.

E: False. The variation should not be much.

Answer:

Step-by-step explanation:

percent means p/100

p/100=16/(16+24)

p/100=16/40

p=100(16)/40

p=1600/40

p=40%

Answer:

40

Step-by-step explanation:

first find total theater cast:40

then set up a proportion:

16/40 = x/100

cross multiply 16 and 100

1600

then divide by 40

40

Answer:

a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand

(a+b+c)(a+b+c)(a+b+c) is equal to (a+b+c)^3

Answer:

It's around 9.22

Step-by-step explanation:

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Distance formula.

(-7, -2) (2, -4)

-7 minus 2, you get -9. Squared is 81.

-2 minus -4 gets you 2. Squared is 4.

Add 81 & 4. You get 85.

Square root 85, there's your answer.

Answer:

the answers are -1, 0, 3, and 5

Step-by-step explanation:

Answer:

Option (4) and (5)

Step-by-step explanation:

Option (1)

f(x) = -(x + 1)² - 4

Since, given function has the vertex = (-1, -4) and the parabola is the opening downwards,

Range of the function → (-∞, -4]

Option (2)

f(x) = [tex]2^{x+3}[/tex]

Horizontal asymptote of the function is,

y = 0

Therefore, range of the given function → (0, ∞)

Option (3)

f(x) = x² + 7x - 9

     = x² + 2(3.5)x + (3.5)² - (3.5)² - 9

     = (x + 3.5)²- 12.25 - 9

     = (x + 3.5)²- 21.25

Vertex of the parabola is (-3.5, -21.25) and parabola is opening upwards.

Therefore, range of the function → [-21.25, ∞)

Option (4)

f(x) = -4x + 11

Range of this function is (-∞, ∞).

Option (5)

f(x) = [tex]\frac{2}{3}x-8[/tex]

Range of the function is (-∞, ∞).

Options (4) and (5) are the correct options.

Answer:

i dont have one but everyone else who does is wrong please fact check yalls answers before you post it please

Step-by-step explanation:

like seriously for the love of god

Answer:

A. 35

Step-by-step explanation:

The total amount of movies that the critic rates that we are given is 20. Now they want to figure us to figure it out with 100 movies. 20 times 5 is one hundred. We are supposed to look at the 3 star reviews, which is 7 movies. 7 times 5 is 35. Hope this helps!

Answer:

The answer is option A

Step-by-step explanation:

I have shared a file with the steps if you still can't understand so feel free to contact me through my email. Thanks.

Answer:

(-6, -45)

Step-by-step explanation:

Answer:

y = (x - 6)^2 - 27

Step-by-step explanation:

Answer:

126.5 cm

Step-by-step explanation:

First, find the area of the rectangular shape at the bottom.(think of this as 2 separate shapes then add their areas together to find the final area)

11x8=88 cm

Next, find the area of the triangle.

Area of triangle = base x height /2

11x7=77

77/2=38.5

88+38.5=126.5 cm

Answer:

b

Step-by-step explanation:

Answer:

20 or B

Step-by-step explanation:

Edge 2021

Answer:

x = [tex]\frac{\pi }{3}[/tex] , [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]\frac{5\pi }{3}[/tex]  

Step-by-step explanation:

sin²x = 3cos²x

[tex]\frac{sin^2 x}{cos^2 x}[/tex] = 3

tan²x = 3, x ∈ [0, 2π)

tan x = √3 , x ∈ [0, 2π)

x = [tex]\frac{\pi }{3}[/tex] , [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]\frac{5\pi }{3}[/tex]

Answer:

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

Answer:

I mean it kind of speaks for itself

Step-by-step explanation:

8 divided by 1/5 is the same thing as 8 multiplied by 5

Multiply 1/3 and 9, and 1/3 and 12 first. Or divide 9 and 12 by 3, that also works.

3x+4+4x+6

Now combine like terms.

3x+4x=7x

4+6=10

The final expression is 7x+10

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hope it helps

Answer:

y=-4x

Step-by-step explanation:.

Answer:

Step-by-step explanation:

5.3 in words is "five point three," meaning 5 3/10 ("five and three tenths."

Answer:

five dot three which means 5.3 is five dot three