From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

→

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

Answer:

Greater than symbol.

2/3 > 2/4

Step-by-step explanation:

We have two fractions, 2/3 and 2/4

We then go back to the inequality part of mathematics where we have symbols such as greater than (>), less than (<), and equal to (=).

Of the three inequality symbols, we look and pick at the one that represents best, the fractions we were given.

2/3 and 2/4

With 2/3 being greater than 2/4.

2/3 = 0.67

2/4 = 0.50

Succinctly, 2/3 > 2/4.

Answer: 240 students

Step-by-step explanation:

25%=60

25*4=100

60*4=240

100%=240

Answer:

240 votes

Step-by-step explanation:

25% - 60 votes

100% - x

x = (100×60)÷25 = 240 (votes)

Answer:

very top

Step-by-step explanation:

i had a test on it a week ago

pls give brinliest

Answer:

$344.25

Step-by-step explanation:

Answer:

546.75$

Step-by-step explanation:

202.5(2.7)=546.75

Answer:

2/5

Step-by-step explanation:

first, we convert the mixed fractions to improper fractions,

[tex]-1\frac{1}{14}=\frac{15}{14}[/tex]

so then we find what [tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex]

[tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex] = [tex]-\frac{3}{7} * -\frac{14}{15}[/tex]

and that equals [tex]\frac{3*14}{7*15}[/tex] , which equals [tex]\frac{42}{105}[/tex]. We can simplify that to 2/5

Answer:

the answer is 7p

Step-by-step explanation:

p(5)+p(2)=7p

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

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

Hope this helped!

Answer:

j = $15

t = $5

Step-by-step explanation:

This question can be solved using simultaneous equation

let the price of t-shirt be represented with t

let the price of jeans be represented with j

From the question, these two equations can be derived

2j + 6t = 60  eqn 1

4j + 3t = 75  eqn 2

multiply eqn 1 by 2

4j + 12t = 120  eqn 3

Subtract eqn 2 from 3

9t = 45

divide both sides by 5

t = 5

Substitute for t in eqn 1

2j + 6(5) = 60

2j = 30

j = 15

Answer:

∠a = 42.5°

∠b = 87°

∠c = 174°

∠d = 90°

∠f = 131°

Step-by-step explanation:

∠a = 85°/2 = 42.5°

∠b = 360° -110° - 76° = 174°/2 = 87°

∠c = 360° -110° - 76° = 174°

∠d = 90°

∠f = 360° - 101° - (64° x 2) = 131°

Answer

Calculator.net

i hope you use this it will help a lot

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Answer: 2x2 + 4xy + 4y2 = 0

2 xx + 4xy +  4yy = 0

...xx + 2xy + y*y  + yy = 0

(x + y)^2  + yy = 0

if  x is a constant

... 2yy + 4xy  - 2xy  + xx = 0

(2yy + 4xy + 2xx -2xx) - 2xy + xx = 0

2(y + x)^2 - 2xx - 2xy + xx = 0

2(y + x)^2 - xx - 2xy  = 0

2(y + x)^2 - xx - 2xy  +yy  - yy = 0  

(x + y)^2  + yy = 0

x = i*y  - y

if  x = r cos a

y = r sin a

cos a )^2  + cos a sina  + sin a)^2  +  sin a)^2 = 0

cos a sin a + sin a)^2 = -1  

Step-by-step explanation:

Answer:

Ellipse; -32deg

Step-by-step explanation:

Got it right on Edge

Answer:

jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

Answer:

hello as I think the answer is X= 6

Answer:

6

Step-by-step explanation:

Given

- 2(3x + 2) > - 8x + 6 ← distribute parenthesis on left side

- 6x - 4 > - 8x + 6 ( add 8x to both sides )

2x - 4 > 6 ( add 4 to both sides )

2x > 10 ( divide both sides by 2 )

x > 5

The only value on the list greater than 5 is 6

Then 6 is in the solution set

Answer:

273984828kdjsssdjdjdjdjddddeejddfj

Answer:

47

Step-by-step explanation:

First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.

Answer:

dependant

Step-by-step explanation:

Answer:

54=x

Step-by-step explanation:

90=43+(x-7)

47=x-7

54=x

symbolab is great for math equations btw

Answer:

3/4

Step-by-step explanation:

The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2

Answer: 20 hr

Step-by-step explanation:

Given

The depth of accumulated snow is [tex]d=10\ in.[/tex]

Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]

Time taken for complete melting of snow is

[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]

Answer:

A. B. D.E.

Step-by-step explanation:

I just put it in a calculator and see if the answer was smaller or equal to 6.

Answer:

9 dollars and 45 cents

Step-by-step explanation:

First find the price of one folder.

$25.20 divided by 8 = $3.15

Then, multiply by 3.

$3.15 x 3 = $9.45

(I accidentally used 3.18 instead of 3.15. Someone corrected me.)

Answer:

25.20 divided by 8 = $3.15 x 3 = 9.45

Step-by-step explanation:

used a calculator, Hope this helps!

Answer: 43.48 Pounds

Step-by-step explanation:

Given

Elizabeth has 43.479 pounds of soil

Rounding off to the nearest tenth of a pound

Consider 79 which occurs after the decimal place

Converting it to 80 as it is nearest to 80

So, we can write 43.479 as 43.48 Pounds

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5