At George Washington High School, 119 students walk to school. If this number is 35% of school enrollment, then how many students are enrolled at the school ?

Answer:

Solution given:

A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm

and

base[b]PR=60cm.

perpendicular [P]= QR

by using Pythagoras law

h²=p²+b²

80²=QR²+60²

QR²=80²-60²

QR=[tex]\sqrt{2800}[/tex]

QR=20[tex]\sqrt{7}[/tex]=52.9=53cm

QR=53cm.

Answer:

$509.97 is Rosa's regular pay

Answer:

153.9380400258yds is the answer

Answer: D!!

Step-by-step explanation:

You need a common denominator (bottom number) to subtract!

Answer:

d

Step-by-step explanation:

I think it is D. Hopfully.

whats the rest of the question?

Answer:

44

Step-by-step explanation:

the steps are in the pic above

Answer:21

Step-by-step explanation:

Answer:

Im pretty sure its 21

Step-by-step explanation:

21

Im sorry if its wrong

Answer:

x = -3

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

As per the provided information in the given question, we have :

We are asked to calculate,

As we know that,

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{Price \; increase}{Original \; price} \times 100 \Bigg ) \; \%}} \\ [/tex]

→ Price increase = New price - Original price

→ Price increase = Rs. ( 53.76 - 48 )

→ Price increase = Rs. 5.76

Substituting values,

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{5.76}{48} \times 100 \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{576}{4800} \times 100 \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{57600}{4800} \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \sf{\quad { \% \; increase =\Bigg ( \dfrac{576}{48} \Bigg ) \; \%}} \\ [/tex]

[tex] \\ \longrightarrow \bf{\quad\underline { \% \; increase = 12\; \%}} \\ [/tex]

Therefore, percentage increase is 12 %.

Answer:

A

Step-by-step explanation:

Given

sinθ = [tex]\frac{4}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a 3- 4- 5 triangle

with opposite = 4, adjacent = 3 and hypotenuse = 5

Since θ is in second quadrant then cosθ < 0

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{3}{5}[/tex] → A

Answer:

X is equal to 4

Step-by-step explanation:

Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}

Answer:

[tex]sin(A+B) = \frac{1431}{1769}[/tex]

Step-by-step explanation:

sin(A+B) = sinA cosB + cosA sinB ------(1)

[tex]given : cos A = \frac{20}{29}, \ sinB = \frac{60}{61}[/tex]

First we will find sinA and cosB

[tex]We \ know \ sin^2 A + cos^2A = 1\\\\sin^2 A = 1 - cos^2A = 1 - (\frac{20}{29})^{2} = \frac{841-440}{841} = \frac{441}{841}\\\\sinA =\frac{21}{29}[/tex]

[tex]sin^2B +cos^2B = 1\\\\cos^2B = 1 - sin^2B = 1 - (\frac{60}{61})^2 = \frac{3721-3600}{3721} = \frac{121}{3721}\\\\cosB = \frac{11}{61}[/tex]

Substitute all values in (1)

[tex]sin(A+B) =sinAcosB + cosAsinB[/tex]

               [tex]=(\frac{21}{29} \times \frac{11}{61} )+ (\frac{20}{29}\times \frac{60}{61})\\\\=\frac{231}{1769} + \frac{1200}{1769}\\\\= \frac{1431}{1769}[/tex]

Answer:

3 x 10^3

Step-by-step explanation:

1.485 / 4.95 = 0.3

10^6 : 10^2 = 10^(6-2) = 10^4

0.3 x 10^4

3 x 10^3

The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.

So we have;

1.485 / 4.95 = 0.3

Therefore,

10^6 : 10^2

= 10^(6-2)

= 10^4

Hence, the scientific notation written as;

0.3 x 10^4

= 3 x 10^3

Learn more about scientific notation here:

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Answer:

[tex]\huge\boxed{\sf Probability = \frac{3}{8} }[/tex]

Step-by-step explanation:

[tex]\displaystyle Probability = \frac{Number \ of \ codes \ with \ 2 \ 0s}{Total \ number \ of \ codes}[/tex]

According to the fundamental principle of counting, to find the total number of codes, we need to multiply the number of options we have for each digits by the number of digits. Hence, we have two options for each digit ( 1 and 0 ) and we have 4 digits. So,

= 2 * 2 * 2 * 2

= 16 possible codes (Total)

Now, Codes with two zeroes:

= 0101,0011,1100,1010,1001,0110 (Maximum number of codes for 2 0s)

Hence, The probability:

Probability = 6 / 16

Probability = 3 / 8

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

No

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10+10=20

20+10=30

30+0=30

Answer:

-18

Step-by-step explanation:

You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.

-6+(-12)

-6-12= -18

Answer:-18

Step-by-step explanation:

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

so, sp is Rs 63000.

hope it helps.

Answer:

J or the last one

Step-by-step explanation:

Other two wouldn't work since -37 is the least and 37% is 0.37 which is less than 0.72

Answer:

I'm not sure but if you want the answer download Socratic it will definitely help you find the answer.

Answer:

Step-by-step explanation:

3) (21²-6²)½ = 20.1 cm

4) (10²+7²)½ =12.2 cm

5) (6.5²-2.7²)½ = 5.9 cm

Step-by-step explanation:

x + 7 = 92

x = 92 - 7

x = 85

The value of x is 85

Answer:

Range.

Step-by-step explanation:

In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.

Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.

For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.

Furthermore, the set of all values that a function will return as outputs is called the range of the function.

This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.

Step-by-step explanation:

a) unsuitable - the precision should have been about 0.030 kg (about an ounce)

b) unsuitable - the stopwatch should have a precision of 0.001 s

c) just about right, although I wouldn't mind it if its precision is of 0.05 mm

d) unsuitable - color matching requires much finer control so I would go with 1/8 cup precision.

Answer:

height = 1/4y

Step-by-step explanation:

V(cylinder) = πr²h

V(cone) = πr²h ÷ 3

V(cyl) = πx²y

V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4

πx²y = πx²y ÷ 4

if you divide each side by πx² you get:

y = y/4

height is 1/4y

Step-by-step explanation:

answer of number 5

length=7cm

breadth=9 cm

height=6 cm

volume=?

we know

v =l×b×h

=7×9×6

=378

so, the volume is 378 cm

Answer:

cone, radius is 3^2 x pi x 7/3 = 65.98

Step-by-step explanation:

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

The rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).

To rationalize the denominator and simplify the expression (√a + 2√y) / (√a - 2√y), we can use a technique called rationalizing the denominator.

First, we multiply both the numerator and denominator by the conjugate of the denominator, which is (√a + 2√y). This is done to eliminate the square root in the denominator.

(√a + 2√y) / (√a - 2√y) * (√a + 2√y) / (√a + 2√y)

Expanding the numerator and denominator:

(√a * √a) + (√a * 2√y) + (2√y * √a) + (2√y * 2√y) / ((√a * √a) - (√a * 2√y) + (2√y * √a) - (2√y * 2√y))

Simplifying:

a + 2√ay + 2√ay + 4y / (a - 2√ay + 2√ay - 4y)

Combining like terms:

a + 4√ay + 4y / (a - 4y)

Therefore, the rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).

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Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm