Linden Middle School has 480 students. The number of students is increasing by 5% next year
How many students will there be? (Please do step by step)

Answer:

True

Step-by-step explanation:

Given

In JKL, we have:

[tex]\angle J = 27[/tex]

[tex]\angle K = 90[/tex]

In WXY, we have:

[tex]\angle Y = 63[/tex]

[tex]\angle X = 90[/tex]

Required

Is JKL ~ WXY?

In both triangles, we already have one similar angle (90)

Next, is to determine the third angles in both triangles.

In JKL

[tex]\angle J + \angle K + \angle L = 180[/tex]

We have that:

[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]

The expression becomes:

[tex]27 + 90 + \angle L = 180[/tex]

[tex]117 + \angle L = 180[/tex]

[tex]\angle L = 180-117[/tex]

[tex]\angle L = 63[/tex]

In WXY

[tex]\angle W + \angle X + \angle Y = 180[/tex]

We have that:

[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]

The expression becomes:

[tex]\angle W + 63 + 90 = 180[/tex]

[tex]\angle W + 153 = 180[/tex]

[tex]\angle W = 180-153[/tex]

[tex]\angle W = 27[/tex]

The three angles in JKL are:

[tex]\angle J = 27[/tex]    [tex]\angle K = 90[/tex]   [tex]\angle L = 63[/tex]

The three angles in WXY are:

[tex]\angle W = 27[/tex]   [tex]\angle X = 90[/tex]   [tex]\angle Y = 63[/tex]

By comparing the angles, we can conclude that  both triangles are similar because of AAA postulate (Angle-Angle-Angle)

Answer:

The 40th visitor will recieve both

Step-by-step explanation:

5×8= 40

8×5= 40

Answer:

the answer is 4

Answer:

[tex] \frac{63}{65} [/tex]

Step-by-step explanation:

We have to find the value of sinB & cosA . So to find the value of sinB , let's use the identity

[tex] { \sin }^{2} b + { \cos }^{2} b = 1[/tex]

By using the identity above gives

[tex] { \sin}^{2} b + ( { \frac{5 }{13} })^{2} = 1[/tex]

[tex] = > { \sin}^{2} b = 1 - \frac{25}{169} = \frac{144}{169} [/tex]

[tex] = > \sin(b) = \sqrt{ \frac{144}{169} } = \frac{12}{13} [/tex]

Now to find the value of cosA , we'll use the same identity.

[tex] {( \frac{3}{5} })^{2} + { \cos}^{2} a = 1[/tex]

[tex] = > { \cos }^{2} a = 1 - \frac{9}{25} = \frac{16}{25} [/tex]

[tex] = > \cos(a) = \sqrt{ \frac{16}{25} } = \frac{4}{5} [/tex]

Now we know that

[tex] \sin(a + b)=\sin(a)\cos(b)+\sin(b) \cos(a) [/tex]

So value of sin(a+b) =

[tex] \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} [/tex]

[tex] = \frac{3}{13} + \frac{48}{65} [/tex]

[tex] = \frac{63}{65} [/tex]

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

Learn more about the mathematical expression visit:

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Answer:

She uses 162 millitiers if Solution B.

Step-by-step explanation:

180 - 10% = 162

Solution A = 18 milliliters

Soultion B = 162 millitiers

Answer:

(5,1) (4,2) (1,3)

Step-by-step explanation:

since is going a clockwise rotation the -x(5,4,1) all will become positive

um kevin bought 31.50 of what? food?

Answer:

tbh how we suppose to help

Answer:

13 cm

Step-by-step explanation:

rug 1= 2.87 meters or 287 cm

rug 2= 287-98 or 189 cm

rug 3= 189+111 or 300 cm or 3m

300-287=13cm or 0.13m

Answer: choice A :  3.49/25 = 0.139 rounds to 14 cents per oz

choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz.  lowest price is choice B

Answer: There would be 20 oranges in each bucket

Step-by-step explanation:

Answer:

20 oranges

Step-by-step explanation:

if john has to distribute the 340 oranges he picked amongst 17 buckets, the equation that represents his situation would be 340/17. just divide and you'll get 20, meaning there's 20 oranges in each bucket.

Answer:

Step-by-step explanation:

Let retail be $100

At 20% discount

(100-20)% * 100

0.8*100

$80

At 30% discount

(100-30)%* 80

$56

Using the percentage relationship between cost, the book was purchased at 56% of the retail price.

Let :

Retail price = r

Discount price = 0.8r

Special sale price :

(1 - 0.30) × 0.8r

0.70 × 0.80r = 0.56r

Hence, the book was purchased at 56% of the retail price.

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Answer:

I think option C is correct

Answer:

-3

Step-by-step explanation:

Just put that trust me

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

9514 1404 393

Answer:

  16/7

Step-by-step explanation:

If the segments are congruent, their lengths are equal:

  (1/2)x -3 = 5 -3x

  (3 1/2)x = 8

  x = 8/(3.5) = 16/7

The value of x is 16/7.

_____

Comment on the question

This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.

Answer:

4.5 m

Step-by-step explanation:

if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5

Answer:

B. 0.45

Step-by-step explanation:

Use the cos function in a calculator for the degree measure of 63°.

The value of cos 63° is 0.45.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

To find cos 63°, we can use a calculator or a table of trigonometric functions.

Now,

cos 63° ≈ 0.447

Rounding to the nearest hundredth, we get:

cos 63° ≈ 0.45

Therefore,

The value of cos 63° is 0.45.

Learn more about trigonometric identities here:

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Answer:

Step-by-step explanation:

(a). ASA ≅ ASA

   If two consecutive angles and the included side of a triangle are congruent to the two consecutive angles and the included side of another triangle, both the triangles will be congruent.

(b). SSS ≅ SSS

If three sides of a triangle are congruent to three sides of another triangle then both the triangles will be congruent.

Answer:

9

Step-by-step explanation:

y is 6 times x, so if you divide 54 by 6, you get 9. Hope this helps :)

Answer: Driving Speed

Step-by-step explanation:

The Independent variable is the one that is being experimented on to see the effect it will have on the dependent variable.

The Independent variable is adjusted to different levels to see if a relationship exists between these adjustments and a change in the dependent variable.

In this scenario the independent variable would be the speed you drive your car whilst time taken to completely stop is the dependent variable because the speed is the variable being adjusted to see the time taken to completely stop the car.

Answer:

19

Step-by-step explanation:

9+10 is not 21 it is 19.

If 2 tens make a 20 and 1 number is gone, 20-1=19

Answer:

very inspirational thanks

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

Answer:

0.25

12/5+(7x5)

Step-by-step explanation:

12/5+(7x5)

12/5+35

12/40

Answer:

D

Step-by-step explanation:

Answer:

Yes they are equivalent

Step-by-step explanation:

Because 24/6=4

And 72/18= 4

Hope this helps, have a good day

Oh thats so sad :((((