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asambeis [7]
3 years ago
10

Given: PS≈PT, Prove:

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0
In 1886, the Fifteenth Meeting of the Type Founders Association of the United States approved the so-called Johnson pica be adopted as the official standard. This makes the traditional American printer’s foot measure 11.952 inches (303.6 mm), or 303.5808 mm exactly, giving a point size of approximately 1⁄72.27 of an inch, or 0.3515 mm.
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Solve for X. Geometry
Dennis_Churaev [7]

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

5 0
3 years ago
The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
grigory [225]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

5 0
3 years ago
Giving brainliest !! *easy*
lora16 [44]
31.4 bc 3.14 x 2 x 5
4 0
3 years ago
Read 2 more answers
Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

4 0
3 years ago
What does the off center rectangle mean in the picture?
Alla [95]
2/5+4/7=2
14/35+20/35=2
34/35=2
FALSE
so the rectangle must be a placeholder that is added
so 34/35+x=2
x=1 1/35 or 36/35
5 0
3 years ago
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