(-x + 3) + (4x - 10)

Step-by-step explanation:

we have a right-angled triangle, that is "hovering" 1.61 m above the ground.

the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.

one leg is the height of the skyscraper (minus the 1.61 m).

the other leg is the ground distance from Jacob to the skyscraper (281 m).

we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.

and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is

180 - 90 - 25 = 65°

now we can use the law of sines

a/sin(A) = b/sin(B) = c/sin(C)

(the ratio between a side and its opposing angle)

to get all missing side lengths.

the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).

so,

height/sin(25) = 281/sin(65)

height = 281 × sin(25)/sin(65) = 131.0324519... m

to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.

therefore, the height of the skyscraper is

131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m

Answer:

1) The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.

2) The 6 in 54.162 has a smaller value than the 6 in 5,416.2.

Step-by-step explanation:

1) 0.06 times 100 equals 6

2) 0.06 < 6

Answer:

c will correct..

like

h² = p² + b²

14² = 74 + 122

196 = 196

Answer:

c

Step-by-step explanation:

Answer:

30; 41 69 :):):):):):):):)')'))'):):):):):):)):):):

Step-by-step explanation:

well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.

a)

therefore, 10 CD cases are 11×10 = 110 mm high.

b)

y = 11x

Answer:

Write a list of steps

Step-by-step explanation:

Pls mark me brainliest! Tnx

Answer:

Step-by-step explanation:

ur mom

Answer:

540 books

Step-by-step explanation:

It is given that Iqbal's shelf is 7/8 full ..

→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....

Similarly,

Sachin's shelf is 12/15 full.

→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....

→ Both total Empty = (1/8 + 3/15)

Taking LCM of denominator ,

→ (15+24 /120)

→ 39/120

→ 13/40 part is Empty in both .

Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .

So, we can say that :----

→ 13/40 part ---------------- 351

→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .

__________________

Now, since bookshelves of the same size and holding books of the same sizes ,,

→ Both have Books in Each = 1080/2 = 540 books .

Answer:

graph them

Step-by-step explanation:

you can tell if you graph them

Answer:

they took off 35$

Step-by-step explanation:

hope this helps

Answer:

$35

Step-by-step explanation:

10 divided by 350 = $35

Given :-

To find :-

Solution :-

According to the Question ,

[tex]\dashrightarrow[/tex] Passing marks = 40% .

[tex]\dashrightarrow[/tex] Seema's marks = 130 .

Let us take the maximum marks be x . Then ,

[tex]\dashrightarrow[/tex] Passing marks = 130 + 2

[tex]\dashrightarrow[/tex] Passing marks = 132

And , by question ,

[tex]\dashrightarrow[/tex] 40x/100 = 132

[tex]\dashrightarrow[/tex] x = 132 * 100/40

[tex]\dashrightarrow[/tex] x = 330

Hence the maximum marks for the exam is 330.

Given :

So, Let us assume the maximum marks as x .

Also,

Passing marks = 132 [ ∵ Seema got 130 marks and she failed by 2 marks ]

According to the question :

[tex] \\ \tt : \implies\dfrac{40x}{100} = 132 \\ \\ \tt : \implies\dfrac{4 \cancel{0}x}{10 \cancel{0}} = 132 \\ \\ \: \: \: \tt \: : \implies 4x = 132 \times 10 \\ \\ \tt : \implies \: 4x = 1320 \\ \\ \tt : \implies \: x = \frac{1320}{4} \\ \\ \tt : \implies \: x = 330 \: \: \\ [/tex]

Hence, The total marks is 330 .

Answer:

This is the graph. Hope the pic loads.

Answer:

22 feet.

Step-by-step explanation:

Arc Length= Ø / 360 degrees * 2pir

(2pir = 2 * pi * radius)

Given: r = 7 feet

Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2

Arc length: 1/2*2pi*7 = 21.99 ft

22 ft when rounded!

The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.

Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.

The length of the arc will be calculated as below:-

Arc Length= Ø / 360 degrees * 2pir

(2πr = 2x π x radius)

r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2

Arc length =  1/2  x 2 π x 7 = 21.99 ft

Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

To know more about the length of the arc of the circle follow

brainly.com/question/2005046

#SPJ5

Answer:

1)x=1.5

2) p=0.7

Step-by-step explanation:

Answer:

All you do is multiply 2.5 x 12

Step-by-step explanation:

multiplying both numbers gets you a toltal of 24.60 or 24.6

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

Answer:

5.34

Step-by-step explanation:

x = 8.9 X 0.6

x = 5.34

Your welcome :)

Answer:

Step-by-step explanation:

Let Maggie's age = x

The brother's age = 3x - 5

x + 3x - 5 = 43

4x - 5 = 43              Add 5 to both sides

4x - 5 + 5 = 43+5

4x = 48                  Divide by 4

4x/4 = 48/4

x = 12

Maggie = 12

Brother = 3*12 - 5

Brother = 36 - 5

Brother = 31

7x-35<2x-10 distribut it

7x-2x<-10+35 collect like them

5x<25 divide both side by 5

x<5

Answer:

m is -3/2

c is -5/2

Step-by-step explanation:

The standard linear equation is given by;

[tex]{ \tt{y = mx + c}}[/tex]

» m is the slope and c is the y-intercept

Then, our slope is;

[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]

Answer:

I believe its (B.)

Answer:

[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]

Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)