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3 years ago

If the slope of PQ is 2/3 and the slope of QR is-1/2 , find the slope of SR so that PQRS is a parallelogram.

Mathematics

1 answer:

schepotkina [342]3 years ago

6 0

SR is parallel to PQ so has the same slope as PQ, which is 2/3

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In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.

lana66690 [7]

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²

7 0

2 years ago

What irrational number is between 4.12 and 4.13<br><br> A.)sqrt{19}<br> B.)sqrt{23}

fenix001 [56]

Sort{17} which equals 4.123

3 0

2 years ago

The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f. f(x+2)

Yuki888 [10]

The value of $f(x+2)=2.1x+2.5$

Step-by-step explanation:

Given: The function $f(x)=2.1x-1.7$

Using this formula, we need to find the value of $f(x+2)$

Hence, we need to substitute $x$ by $x+2$ to find the value of $f(x+2)$

$f(x+2)=2.1(x+2)-1.7$

Multiplying the term $(x+2)$ by $2.1$ , we get,

$f(x+2)=2.1x+4.2-1.7$

Adding the constant term,

$f(x+2)=2.1x+2.5$

Thus, the value of $f(x+2)$ is $f(x+2)=2.1x+2.5$

8 0

2 years ago

2=n over 3 what does n equal?

Ede4ka [16]

Answer:

n = 6

Step-by-step explanation:

2 = $\frac{n}{3}$

multiply both sides by 3

=> n = 6

8 0

2 years ago

Read 2 more answers

Asap I will fail it’s due soon

Elan Coil [88]

Answer:

See explanation

Step-by-step explanation:

1. From the graph of absolute value function:

a. The domain is $x\in (-\infty, \infty)$

b. The range is $y\in [0,\infty)$

c. The graph is increasing for all $x>0$

d. The graph is decreasing for all $x$

2. From the graph of quadratic function:

a. The domain is $x\in (-\infty, \infty)$

b. The range is $y\in (-\infty,0]$

c. The graph is increasing for all $x$

d. The graph is decreasing for all $x>0$

4 0

2 years ago