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2 years ago

13

Louie is trying to find a rectangular canvas for his art project. Its diagonal must measure 23.3 inches and form a 31° angle wit

h the bottom of the canvas. What is the height of the canvas? Round your answer to the nearest inch.
12 inches
14 inches
24 inches
27 inches

1 answer:

elena55 [62]2 years ago

6 0

The answer should be 24 inches

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please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression

MrRa [10]

Answer:

$\frac{x^2+19x-56}{4x^2-32x}$

Step-by-step explanation:

To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:

$\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}$

We can use the distributive property to simplify:

$\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}$

The sum of the two is:

$\frac{x^2+19x-56}{4x^2-32x}$

7 0

2 years ago

Directions: Using only numbers 1-6 (and only once per inequality), fill in the boxes to create a true statement with the smalles

yuradex [85]

Answer:

$1.40$

Step-by-step explanation:

√2=1.41

So, the smallest possible interval will be 1.40 and 1.42

√3=1.73

So, the smallest possible interval will be 1.72 and 1.74

√4=2.00

So, the smallest possible interval will be 1.99 and 2.01

√5=2.24

So, the smallest possible interval will be 2.23 and 2.25

√6=2.45

So, the smallest possible interval will be 2.44 and 2.46

7 0

3 years ago

You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of

mr Goodwill [35]

Step 1: Assign variable for the unknown that you need to find.

$d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles \\ t \; \rightarrow \; Time \; Taken \; in \; hours$

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

$d_w+d_c=12$

Your Walking rate and your friends Cycling rate is given below:

$r_w=4mph\\r_c=11mph$

Step 3: Set up an equation using the relationship between distance, time and rate.

$Distance=Rate \times Time$

$d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t$

Substituting the above in equation 1

$4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours$

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

$d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles$

8 0

3 years ago

What is the value of x?<br><br><br><br> Enter your answer in the box.

OverLord2011 [107]

5x + 10 10
---------- = -------
121 11

make the bottom have same common denominator

10/11 x (10/10) = 100/121

Get rid of the denominator (for both now have 121 as a base)

5x + 10 = 100

5x + 10 (-10) = 100 (-10)

5x = 90

5x/5 = 90/5

x = 18

x = 18 is your answer

hope this helps

4 0

2 years ago

Read 2 more answers

Help!! I need help!<br>

Tasya [4]

Answer:

C

Step-by-step explanation:

-5x-49>113

+49 +49

———————-

-5x>162

—- ——

-5 -5

x<32.4

6 0

2 years ago