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harkovskaia [24]
3 years ago
15

Find the area of the figure. Sides meet at right angles. No links please.

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

40 ft²

Step-by-step explanation:

Divide the figure into 2 rectangles and find their areas.

The area of the smaller rectangle

= 3 × 4

= 12 ft²

The area of the larger rectangle

= (8-4) × 7

= 28 ft²

The area of the figure

= 12 + 28

= <u>40 ft²</u>

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the question is in the picture below, if you could show all your work so i can see how to do it, that would be appreciated.
ki77a [65]

m∠R = 27.03°

Solution:

Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km

To find the measure of angle R:

Law of cosine formula for ΔQRP:

r^{2}=p^{2}+q^{2}-2 pq \cos R

Substitute the given values in the above formula.

(15)^{2}=(28)^{2}+(17)^{2}-2 (28)(17) \cos R

225=784+289-952 \cos R

225=1073-952 \cos R

Switch the given equation.

1073-952 \cos R=225

Subtract 1073 from both side of the equation.

-952 \cos R=-848

Divide by –952 on both sides.

$ \cos R=\frac{106}{119}

$  R=\cos^{-1} \left(\frac{106}{119}\right)

R=27.03^\circ

Hence m∠R = 27.03°.

7 0
4 years ago
Please answer this correctly
sesenic [268]

Answer:

  0

Step-by-step explanation:

The sorted data set is ...

  1 2 3 3 5 7 8 9

The median is the average of the middle two numbers: (3+5)/2 = 4.

Replacing one of the 3s with a 1 makes the data set be ...

  1 1 2 3 5 7 8 9

The average of the middle two numbers is (3+5)/2 = 4.

The median increases by 4 - 4 = 0.

7 0
3 years ago
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring tak
dalvyx [7]
  • Haircuts be x
  • hair coloring be y

#a

\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150

\\ \sf{:}\Rrightarrow x+y\geqslant 10

And

\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8

#2

Attached

#3

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8 0
3 years ago
Which subset of the real numbers contains the square root of 50
DENIUS [597]
The first thing you should do in this case is to know that you can rewrite the expression.
 We have then:
 root (50)
 Rewriting:
 root (2 * 25)
 5 * root (2)
 Which belongs to the set of irrational numbers.
 Answer: 
 Irrational numbers.
3 0
3 years ago
What is d if 3= -6/d
Over [174]

Answer:

d = -2

Step-by-step explanation:

d( 3 ) = ( -6 / d )d

3d = -6

(3d)/3 = (-6)/3

d = -2

6 0
3 years ago
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