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s344n2d4d5 [400]
3 years ago
8

The measure of PQS is 38°. What is the measure, in degrees, of PSQ?

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:

Step-by-step explanation:

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Solve for x. 4−(2x+4)=5 x=6 x=−52 x=−10 x=32
sashaice [31]

Answer:

Step-by-step explanation:

4−(2x+4)=5

4-2x - 4 =5

-2x = 5

x= -5/2 = -2.5

5 0
3 years ago
John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times t
maks197457 [2]

Answer:

4 ft.

Step-by-step explanation:

We can consider the orignial square's sides to be x, so area of the original figure: x^{2}

The new rectangle's sides will be x and x+8, so the area of the new figure will be x^2+8x.

We know that the new area is 3 times the old one. So our equation will be:

x^2+8x=3x^2

our answer will be x=4.

Therfore, the length of the side of the old flower bed is 4 ft.

4 0
3 years ago
Read 2 more answers
Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
lesantik [10]

Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

4 0
4 years ago
A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
3 years ago
The length and width of a rectangle is (x + 5) and x, respectively.
iris [78.8K]

Answer:

the lenght of the rectangle is five more than the width

4 0
4 years ago
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