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sdas [7]
2 years ago
4

Which shape has larger area: a rectangle that is 7 inches by 3/4 inch, or a square with a side length of 2 1/2 inches. Tell your

reasoning.
Mathematics
1 answer:
iris [78.8K]2 years ago
7 0
Area= length multiplied by width

Area of rectangle:
Area=7 x .75
Area= 5.25

Area of square:
Area= 2.5 x 2.5
Area=6.25

The square has a larger area because when you multiply the length and width of both shapes the square has a larger sum
You might be interested in
Solve the system of equations – 5x + y = 56 and x + y = -4 by combining the<br> equations.
anygoal [31]

Answer:

Your solution is (-10, 6).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-5x + y = 56

x + y = -4

Let's change the second equation into one with one variable on each side.

y = -x - 4

Now, plug this into your first equation.

-5x + (-x - 4) = 56

Distribute the + sign.

-5x - x - 4 = 56

Combine the like terms.

-6x - 4 = 56

-6x = 60

Isolate x by dividing both sides by -6.

x = -10

Now plug this back into either equation.

-10 + y = -4

Add 10 to both sides to find y.

y = 6

Your solution is (-10, 6).

Check this by plugging in these values into the equation you have not checked yet.

-5(-10) + (6) = 56

50 + 6 = 56

56 = 56

Your solution is correct.

Hope this helps!

5 0
1 year ago
Read 2 more answers
Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta
Naddik [55]

Answer:

Cot^2\theta-Csc^2\theta=-1

Step-by-step explanation:

The only Pythagorean identities are:

1. \ Sin^2\theta+Cos^2\theta=1

2. \ 1+Tan^2\theta=Sec^2\theta

3. \ 1+Cot^2\theta=Csc^2\theta

4. \ Sin^2\theta=1-Cos^2\theta\\  \ \ Cos^2\theta=1-Sin^2\theta

 

Therefore,Cot^2\theta-Csc^2\theta=-1 is correct as it's one of the pythagorean identities.

4 0
2 years ago
Read 2 more answers
Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyron
scoray [572]
18 x 40 = 720 per week.....720 x 4 = 2880 per month earnings

net pay = 0.72(2880) = 2073.60 <=== cash inflow.

how much he spends per month is his cash outflow.
3 0
2 years ago
Read 2 more answers
Max invests some money in a savings bond.
WITCHER [35]

Answer:

£288150

Step-by-step explanation:

We'll use the formula

PRT/100= interest

But in this case we are looking for principal P

Rate= 2%

Interest= £5763

T=1

P= (I*100)/(RT)

P= (5763*100)/(2*1)

P= 288150

The principal is £288150

5 0
2 years ago
Carla purchased a hat for $12, a purse for $26, and a dress for $125. The sales tax rate was 5.6 percent. What was the total amo
disa [49]
12 + 26 + 125 = 163
163 + 0.056(163) = 163 + 9.13 = 172.13
5 0
2 years ago
Read 2 more answers
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