The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys

Step-by-step explanation:

9x - 2 = 5x + 54 because these angles are corresponding

9x - 5x = 54 + 2 add/subtract like terms

4x = 56 and this divided by 4

x = 14

9x - 2 + 10y + 6 = 180° because these two angles makes a straight line

9×14 - 2 + 10y + 6 = 180°

126 - 2 + 10y + 6 = 180° add like terms

130 + 10y = 180° subtract 130 from both sides

10y = 50 divide by 10

y = 10

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

Answer:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

Step-by-step explanation:

Given

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

Required

Simplify

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]

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Considering the denominator of the first bracket

[tex]1 - cos^2x[/tex]

This can be rewritten using different of two squares as follows:

[tex](1 - cosx)(1 + cosx)[/tex]

So, [tex]1 - cos^2x[/tex] can be replaced with [tex](1 - cosx)(1 + cosx)[/tex] in the given expression.

Also, from trigonometry identity

[tex]tan\frac{x}{2} = \frac{1 - cos x}{sin x}[/tex]

So, [tex]tan\frac{x}{2}[/tex] can be replaced with [tex]\frac{1 - cos x}{sin x}[/tex] in the given expression

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[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex] becomes

[tex](\frac{sinx}{(1-cosx)(1+cosx)}) * \frac{1 - cos x}{sin x}[/tex]

[tex](\frac{sinx * (1 - cos x)}{(1-cosx)(1+cosx) * sin x})[/tex]

Cancel out similar expressions

[tex]\frac{1}{1+cosx}[/tex]

The expression cannot be further simplified.

Hence:

[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]

The simplified form of the expression :

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

We have some trigonometric formula as:

[tex]sin2x=2sinx= cosx\\2cos^{2} x=1+cos2x[/tex]

We have the expression

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} \\=\frac{sinx}{sin^{2} x} .tan\frac{x}{2} \\=\frac{1}{sin x} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .\frac{sin\frac{x}{2}}{cos\frac{x}{2}} \\=\frac{1}{2cos^{2} \frac{x}{2}}\\=\frac{1}{1+cos{x} }[/tex]

Therefore, the simplified form of the expression is:

[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]

Learn more:https://brainly.com/question/13126358

Answer:

It will also be 35

Step-by-step explanation:

Answer:

Measure of angle 4 will also be 35°.

REASON: Corresponding angles are congruent.

Answer:

your not stupid don't doubt your self

Answer:

answer is 10....that was simple

Step-by-step explanation:

as we know both the Δ were congruent, then CPCT will also be equal

angle b = angle q

that means 3v + 4 = 8v - 6

6 + 4 = 8v - 3v

10 = 5v

10/5 = v = 2

put the value of v = 2 and u'll get 10

Answer:

Can you format this a little better?

Answer:

i think its a

Step-by-step explanation:

Answer:

a

or d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression 2y+13=y+5

To get the value of y, we willow the following steps:

Subtract 2y to both sides:

2y+13-2y = y+5-2y

13 = -y+5

subtract 5 from both sides:

13-5 = -y+5-5

8 =  -y

-y = 8

multiply both sides by -1

-(-y) = -8

y = -8

Hence the value of y = -8 not -14

So NO,if you continue to solve, y would not be -14

Answer:

The answer is below

Step-by-step explanation:

Use the Exemption amounts in Figure 2.2 on page 132 to find the (a) amount for exemptions and (b) annual state income taxes.

The exemptions are shown in the image below.

a) We can see that the exemptions for a married person is $4000 and $2000 per dependent. Since there are 2 dependents therefore:

Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)

Amount for exemptions = $4000 + $4000 = $8000

Amount for exemptions = $8000

b) Taxable wages = Annual gross pay - Exemptions

Taxable wages = $63840 - $8000 = $55840

Annual state income taxes = Taxable wages × State tax rate

Annual state income taxes = $55840 × 4% = $2233.6

Answer:

D

Step-by-step explanation:

Divide  14 into 6

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.

Answer:

Any number divided by itself is 1. In the expression-1 times -10 over -1 times -60 ,the -1s in the numerator and the denominator cancel each other out to give the result , or 6.

Step-by-step explanation:

Answer:

4630/130=35.6 so just round to 36 with a remainder of a few shirts

Step-by-step explanation:

Answer: 3x-3 needs to be done first, and then 4x+7, and then multiply and whatever you get will be your answer

Step-by-step explanation:

Answer:

answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd

Answer:

$25,886.70

Step-by-step explanation:

Answer:

27600

Step-by-step explanation:

Answer:

It should be 27600 but i don't know for sure because I don't know where the decimal's at

Step-by-step explanation:

Answer: 348 girls so somewhere around 80 percent

Step-by-step explanation:

Answer:

904

Step-by-step explanation:

8 x 113 = 904

Answer:

11.66

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

True because if AC = BC, then the triangles are the same.

The side AC is congruent to the side BC the statement is true.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

In the given figure we can see that the ∠ACD ≅ ∠BCD and AB ⊥ CD mean that the line CD is dividing the line AB into two equal parts.

Therefore, the side AC is congruent to the side BC the statement is true.

Learn more about congruency at

brainly.com/question/14418374

#SPJ2

Answer: a coordinate plane is used in order to track the location of the object.

Translations are congruence transformations that move an object, without changing its size or shape

Dilations are transformations that generate an enlargement

Step-by-step explanation:

Answer:

I got it right on edge 2020/2021

Step-by-step explanation:

m=5

b=-4

Answer:

45

Step-by-step explanation:

1125 students×.04 attrition =45 students lost

Answer:

3

Step-by-step explanation:

= 2/3 x 9/2

= 9/3

= 3

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

Answer:

B

Step-by-step explanation:

I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!