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3 years ago

Adding 1/4 and 5/8 using the giant one to create a common denominator

Mathematics

1 answer:

tester [92]3 years ago

4 0

1/4 • 2/2 = 2/8
2/8 + 5/8 = 7/8

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LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of tria

Fiesta28 [93]

Answer: 48cm^2

Step-by-step explanation:

LMN is a right a right angle triangle angle NLM is 90 degrees PQ is parallel to LM. Area of triangle PNQ is 8cm and area of triangle LPQ is 16 cm work out area of LQM

Kindly see attached picture for detailed explanation

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3 years ago

What are the values of a and b

makvit [3.9K]

Answer:

$\large\boxed{B.\ a=8,\ b=4\sqrt5}$

Step-by-step explanation:

We have three similar triangles:

$\triangle ABC\sim\triangle DBA\sim\triangle DAC$

therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{BD}{AD}$

We have AD = a, CD = 16 and BD = 4. Substitute:

$\dfrac{a}{16}=\dfrac{4}{a}$ <em>cross multiply</em>

$(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8$

and other proportion:

$\dfrac{AB}{BC}=\dfrac{BD}{AB}$

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

$\dfrac{b}{20}=\dfrac{4}{b}$ <em>cross multiply</em>

$(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}$

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3 years ago

Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. Jam

STALIN [3.7K]

Answer:

$12 less each month

Step-by-step explanation:

Find how much less James makes by solving for x in the equation:

12(80 - x) = 816

960 - 12x = 816

-12x = -144

x = 12

So, James makes $12 less each month than Matt does.

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3 years ago

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mojhsa [17]

Answer:

22m

Step-by-step explanation:

You're welcome, just trust me it's right.

4 0

3 years ago

What unit of been sure would be appropriate for the volume of a sphere with a radius of 2 meters

sineoko [7]

Answer:

Step-by-step explanation:

Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³. ...

Find the radius. If you're given the radius, then you can move on to the next step. ...

Cube the radius. ...

Multiply the cubed radius by 4/3. ...

Multiply the equation by π.

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4 years ago

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