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3 years ago

Model Cars

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

y = ⅓x

Step-by-step explanation:

Let's find m.

m = y/x

Using the point on the line, (3, 1),

m = ⅓

Substitute m = ⅓ into y = mx

This, the equation that describes the relationship would be:

y = ⅓x

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neonofarm [45]

25-23.08=1.92

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4 years ago

What is the volume of the prism?

KATRIN_1 [288]

Answer: 4.8 cubic units

Step-by-step explanation:

V= lwh

2 x 1.5 x 1.5=4.8

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3 years ago

A rectangular piece of tin has an area of 1056 square inches. A square of 3 inches is cut from each corner, and an open box is m

kvv77 [185]

Answer:

44 inches and 24 inches

Step-by-step explanation:

Let $l,b$ denotes length and breadth of a rectangle.

$lb=1056$

A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.

New length $=l-6$ inches

New breadth $=b-6$ inches

Height of box $=3$ inches

Volume of box = length × breadth × height

$(l-6)(b-6)3=2052$

$lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l$

Put $b=68-l$ in $lb=1056$

$l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44$

At $l=24,b=\frac{1056}{24}=44$ inches

At $l=44,b=\frac{1056}{44}=24$ inches

8 0

3 years ago

In the figure, angle A measures 45° and angle E measures 15°.

nadya68 [22]

Answer:

Angle C = 45 degrees.

Angle D = 30 degrees.

Step-by-step explanation:

Angle C = 45 + 90 = 135 180 - 135 = 45.

Angle D = 180 - 45 = 135 (angle F) 15 + 135 = 150 180 - 150 = 30

4 0

4 years ago

Read 2 more answers

G(x)=1/6(8)^x-5. x=9

Nezavi [6.7K]

Answer:

$g(9) = \frac{2048}{3}$

Step-by-step explanation:

Given

$g(x) = \frac{1}{6}(8)^{x-5}$

$x = 9$

Required

Solve

Substitute 9 for x in $g(x) = \frac{1}{6}(8)^{x-5}$

$g(9) = \frac{1}{6}(8)^{9-5}$

$g(9) = \frac{1}{6}(8)^{4}$

Remove bracket

$g(9) = \frac{1}{6}* 8^4$

$g(9) = \frac{1}{6}* 4096$

$g(9) = \frac{1* 4096}{6}$

$g(9) = \frac{4096}{6}$

Simplify fraction

$g(9) = \frac{2048}{3}$

5 0

3 years ago