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3 years ago

Hey I’ll mark has brainliest and give u 15 pts if u can help me with this :)

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

Answer:

It's C

Explanation: I don't need to give you an explanation >:(

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A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

-2x + 3 < 5 Show your work/steps

s2008m [1.1K]

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ -2x + 3 < 5

Subtract 3 from both sides:

-2x < 2

Divide both sides by -2 to isolate x:

x = -1

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

5 0

3 years ago

sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

bazaltina [42]

Answer:

B) 3/4

Step-by-step explanation:

The conditional probability of B given A (B|A) is P(A ∩ B) / P(A), when P(A) > 0 (Probability of the intersection of A and B over the Probability of A).

in our case, P(A ∩ B is the amount of people who can snowboard and surf, which according to the picture is 36

P(A) is the amount of people who can snowboard, which from the picture is 48

This means our conditional probability is 36/48, which when simplified is 3/4.

6 0

3 years ago

A pet store conducted a survey on the types of pets owned by the stores customers. construct a two-way table summarizing the dat

Inessa [10]

Answer:

$\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}$

Step-by-step explanation:

From the table you can see that

45 customers own cat and dog;
78 own only cat, then 78+45=123 customers own cat;
125 own only dog, then 125+45=170 customers own dog;
52 own neither cat, nor dog;
78+45+125+52=300 customers in total;
300-123=177 customers do not own cat;
300-170=130 customers do not own dog.

Two-way table is

$\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}$

5 0

3 years ago

Trevor deposits $1500 in a simple interest account that pays 4.3% annually. After 15 years, how much total money would be in the

andrezito [222]

Answer:

$2467.50 would be in the account after 15 years.

4 0

3 years ago

Read 2 more answers