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Step-by-step explanation:

sec330°

= 1 / cos330°

= 1 / cos30°

= 1 / (√3/2)

= 2/√3.

Answer:

[tex]\frac{2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the identity

secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sec330°

= [tex]\frac{1}{cos330}[/tex]

= [tex]\frac{1}{cos(360-330)}[/tex]

= [tex]\frac{1}{cos30}[/tex]

= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]

= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

= [tex]\frac{2\sqrt{3} }{3}[/tex]

Answer:

x = 1425

Step-by-step explanation:

Given that,

A student found out that 8% of the students in his school are left-handed.

Total no of lefties = 114

We need to find the total number of students in the school. Let they are be x.

ATQ,

8% of x = 114

[tex]\dfrac{8x}{100}=114\\\\x=\dfrac{114\times 100}{8}\\\\=1425[/tex]

Hence, there are 1425 students in the school.

Answer:

4.5×10¹¹

Answer:

[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]

i) use the commutative property to rearrange the terms: a+b = b+a

[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]

ii) multiply the number in the 1st bracket

[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]

iii) multiply the 2nd bracket by adding their exponents

[tex]45 \times 10 {}^{3 + 7} [/tex]

[tex]45 \times 10 {}^{10} [/tex]

iv) write the answer in standard form

[tex]4.5 \times 10 {}^{10 + 1} [/tex]

[tex]4.5 \times {10}^{11} [/tex]

The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].

Since

The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]

Now here we use the commutative property

So,

[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]

Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.

Learn more about an equation here: https://brainly.com/question/24271130

I have attached your answer

Answer:B

Step-by-step explanation:

Answer:

3x−4y+−3x=6+−3x

−4y=−3x+6

Step 2: Divide both sides by -4.

−4y

−4

=

−3x+6

−4

y=

3

4

x+

−3

2

Step-by-step explanation:

Answer:

y = 0.75x - 1.5

Step-by-step explanation:

3x - 4y = 6

-4y = -3x + 6

y = 3/4x - 6/4

y = 0.75x - 1.5

hope this helps, pls mark brainliest :D

Answer:

PLEASE MARK AS BRAINLIEST!!!!!!!

58.6 kilometer/hour = 97666.666667 centimeter/minute

Step-by-step explanation:

How to Convert Centimeter/minute to Kilometer/hour

1 cm/min = 0.0006 km/h

1 km/h = 1666.6666666667 cm/min

Example: convert 15 cm/min to km/h:

15 cm/min = 15 × 0.0006 km/h = 0.009 km/h

Answer:

B

Step-by-step explanation:

Answer:

2 t / 1 c

2/1=x/3

6=x

6 tablespoons

Answer:

8 Tablespoons trust me.

Step-by-step explanation:

Answer:

nope always remember if the x's are the same its not a function :)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x has y

6 has 1  and later said

6 has 8

this could not happen in a function

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

Answer: I think there is a mistake for the first one because I did the math and I got 200 added but then there are more answers to this one, I added all the others by 200 and got the next number but then when I got to 6,300 I can't get the 6,700. I get something else, I add 6,000 with 200, and then I get 6,200 instead of getting 6,300. Then I added that 6,200 and 200 and got 6,400. I am confused with the second one, can you please help me understand that one. The third one is also confusing, The one is 12 nuggets eaten per minute. The fifth I am not sure if that is a solvable question, The sixth one I am not sure but I think that it is 0.066667. The seventh one doesn't even make any sense to me.

Explanation: I am sorry this was so long, I was trying to make sense of these questions. Also if this is ALL wrong sorry for even trying.

Answer:

D) 4

Step-by-step explanation:

By remote interior angle property if a triangle, we have:

19x° + (18x - 4)° = 144°

(18x - 4 + 19x)° = 144°

(37x - 4)° = 144°

37x - 4 = 144

37x = 144 + 4

37x = 148

x = 148/37

x = 4

Answer: 15

Step-by-step explanation:

You have to multiply what Jackson made last year (24 cups) times 10 which equals 240. after that you do 240 divided by 4, which equals 60, and 60 divided by 4 again, which gives us the answer (15) (hope you could understand that) Also sorry for not answering in time!

Answer:

3

Step-by-step explanation:

log 8 512 = 8^ x=512. x=3

Hope this helps :D

Answer:

Step-by-step explanation:

3100 ft per 50,000 years

31 ft per 500 years (Divided 100)

Convert ft to inches

372 in per 500 years

0.744 inches per year (Divided by 500)

Concept: Domain & Range

Answer:

h<-7/4

Step-by-step explanation:

Answer:

m∠C = 54°, m∠CDB = 100°

Step-by-step explanation:

in ΔABC, m∠A= 37° and m∠B = 89°

The sum of all 3 angles in any triangle is 180° so

m∠C = 180-37-89 = 54°

m∠CDB = 180-80 = 100° because any line has a 180°angle

Answer:

a

Step-by-step explanation:

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

Answer:

21.66

Step-by-step explanation:

Answer: 96

Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)

so 1/2 (16)(12)

= 96

Answer:

Hey man, I don't really know how to do these problems following those exact steps, but these are the steps i used to solve it:

Step-by-step explanation:

1: (8 x 3/4) to find price for 1. then multiply by 13 [(8x3/40x13]

2: 6x13

3:$78

Answer:

I'm pretty sure it's A because its showing that the line starts from 1 and goes up if that makes sense.

Answer:

B

Step-by-step explanation:

x < 1 means that x is lesser than 1. A shows x is more than 1 so it is wrong. C shows x is more than -1 which is not entirely true since x could be more than -1, but not less than 1. However, the line in C stretches all the way to 8 which is more than 1 so it is wrong.  D shows that x is lesser than -1, but x could have been 0 or -1, so it is not true either.

Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25

Step-by-step explanation:

Hope this helps!

Answer:

$37.50 per month

Step-by-step explanation:

150/4 = 37.50 per month