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3 years ago

80 is 40% of what number?

1 answer:

5 0

80 is 40% of 200 because 40%of 100 is 40. Common sense is just to double both values, also 200 x .40 (40%as a decimal) gives you the result of 80.

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In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

jok3333 [9.3K]

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = $\frac{EF}{FD}$ ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = $\frac{EF}{4.5}$

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

3 0

2 years ago

From 3-5pm on Friday there were

luda_lava [24]

$2100 left the ATM ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

6 0

2 years ago

piper needs to buy 320 new ping-pong balls for the team ping pong balls come in 16 how many sets of ping-pong balls should piper

Lelu [443]

Answer:

20 sets

Step-by-step explanation:

320/16=20

He needs 320 ping pong balls, and he has 16, so divide the amount needed by the amount that comes in each containter.

3 0

2 years ago

Solve the missing side in the right triangle below

maw [93]

Answer: the root of 145 so b

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please explain how they plugged the removable discontinuity in this question.

kondor19780726 [428]

In the limit

$\displaystyle \lim_{x\to c} f(x)$

we're interested in the value that $f(x)$ converges to as $x$ gets closer to $c$ . So in fact $x\neq c$ .

In the given example, $f(x)$ is factorized to reveal a common factor of $x-1$ in the numerator and denominator. We have $x\neq1$ if $x\to1$ , so $x-1\neq0$ so we can simplify

$\dfrac{x-1}{x-1} = 1$

and *remove* the discontinuity.

Then

$\displaystyle \lim_{x\to1} \frac{2(x-1)}{(x+1)(x-1)} = \lim_{x\to1} \frac2{x+1} = \frac2{1+1} = 1$

8 0

1 year ago