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balandron [24]
3 years ago
10

the bottom of the ladder must be placed 6 feet from a deck the latter is 10 feet long how far above the ground does the ladder t

ouch the deck
Mathematics
1 answer:
Paraphin [41]3 years ago
6 0
The ladder touches the deck at 8 feet high.

Given:
distance of the bottom of the ladder from the deck: 6 feet
length of the ladder: 10 feet

Find the height where the top of the ladder touches the deck.

We can visual that a right angle triangle is formed between the ladder, the deck, and the ground.

The length of the ladder is the hypotenuse. The length from the deck to the bottom of the ladder is the measurement of one side.

Using the Pythagorean theorem: a² + b² = c² ; we can find the measurement of the other side.
a = 6 ft ; b = unknown ; c = 10 ft

6² + b² = 10²
b² = 10² - 6²
b² = 100 - 36
b² = 64
b = √64
b = 8 feet.



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grigory [225]
V=(4/3)(pi)(r^3)
r=7
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7 0
3 years ago
* 4. A circle is divided into ten equal sectors.
Fiesta28 [93]

Answer:

a. Find the measure of each central angle.

The central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

Angle of sector = Total central angle/number of sectors

=  {360}^{0}  \div 10

=  {36}^{0}

Hence , the central angle of one slice of pie is 36°

b. If the diameter is 50 in., find the length of an arc of one of the sectors.

length of an arc of one of the sectors =

= \frac{1}{n}  \times 2\pi \times r

= \frac{1}{10}  \times 2\ \frac{22}{7}  \times 50

= 31.42 \: in

7 0
2 years ago
Solve for X.<br> 3x+6/3 = 6<br> x=
Pachacha [2.7K]
X= 3x + 6 / 3 = 6 (im pretty sure)
7 0
1 year ago
If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes
anyanavicka [17]

ANSWER

x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

mn =  \frac{c}{a}  = 30

The square difference of the zeroes is given by the expression.

( {m - n})^{2} =  {(m + n)}^{2} - 4mn

From the question, this difference is 169.

This implies that:

( { - k)}^{2}  - 4(30) = 169

{  k}^{2}  -120= 169

k^{2} = 289

k=  \pm \sqrt{289}

k=  \pm17

We substitute the values of k into the equation and solve for x.

f(x) = {x}^{2}   \pm17x + 30

f(x) = (x  \pm2)(x  \pm 15)

The zeroes are given by;

(x  \pm2)(x  \pm 15) = 0

x  =  \pm2 \: \: or \:  \:  x  =  \pm 15

5 0
3 years ago
When five is added to three more than a certain number,the result is 19.what is the number?
Assoli18 [71]
When 5 is added to 3 more then a certain number, the result is 19

x + 3 + 5 = 19
x + 8 = 19
x = 19 - 8
x = 11 <== ur number

4 0
3 years ago
Read 2 more answers
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