Ask question

Ask question

All categories

3 years ago

9

a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the

ladder rest

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer:

6 ft.

Step-by-step explanation:

$a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6$

You might be interested in

for every 5 coins carmen gets, she gives 2 to her brother frank. if carmen has 9 coins, how many does frank have?

Sphinxa [80]

Carmen has given 6 coins to her brother<span />

3 0

2 years ago

Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots inclu

Pepsi [2]

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

$99.90 + 89.90 = 189.80$

Step 2: Find the sales tax of the result

$\frac{8}{100}\times 189.8 = 15.184$

Step 1: Convert 8% to fraction
$8\%= \frac{8}{100}$
Simplify
$\frac{8}{100} = \frac{2}{25}$
Step 2: Convert 189.80 to a fraction
$189.80 = \frac{189.8}{1}$
Step 3: Set it up
$\frac{2}{25}\times \frac{189.8}{1}$
Step 4: Cross divide
$189.80 \div 25 = 7.592\\2 \div 1 = 2$
Step 5: Multiply the result
$7.592 \times 2 = 15.184$

Step 3: Add the result from the total cost of both items

$189.80 + 15.184 = 204.98$

The total cost of the hats and boots including sales tax is 204.98 dollars

7 0

2 years ago

Pedro bought four packs of pencils for $19.96 how much did each pack cost

denpristay [2]

Each pack would cost $4.99

6 0

3 years ago

Help i need help fast i will give 5 stars <br> find 3/7 in 14

9966 [12]

Are you asking to find 3/7 of 14? In that case the answer would be 6. 14 divided by 7 is 2 and 2x3 is 6!

4 0

3 years ago

What is the first term in the sequence for which d = -2 and a7 = 3?

lana66690 [7]

Answer:

First term is 15

Step-by-step explanation:

Given data:

$a_{7} =3\\d=-2$

Now,

$a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15$

Therefore first term a =15

Correct option is (c)

7 0

2 years ago