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3 years ago

11

ADC is drawn by reflecting ABC across . If AC = 4 units, what is the area of ADC?

2 answers:

Elina [12.6K]3 years ago

7 0

<span>E is the correct answer. The area of a triangle is equal to half the base multiplied by the perpendicular height. If BE = 3, then DE = 3. If AC is the base, DE is the perpendicular height. This gives (4 x 3)/2. This is equal to 6 square units.</span>

Afina-wow [57]3 years ago

5 0

Answer:

6 square units

Step-by-step explanation:

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2 years ago

The HCF and LCM of two numbers x and 126 are 24 and 840 respectively. Find the value of x.

Zigmanuir [339]

Answer:

x=160

Step-by-step explanation:

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3 years ago

Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over

Darina [25.2K]

Answer:

$\frac{y-x}{x+y}$

Step-by-step explanation:

We are given that fraction

$\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}$

We have to find the expression which is equivalent to given fraction .

$\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}$

$\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}$

Substitute the values then, we get

$\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}$

We know that

$\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}$

Using the property then, we get

$\frac{y-x}{xy}\times \frac{xy}{x+y}$

$\frac{y-x}{x+y}$

This is required expression which is equivalent to given expression.

6 0

3 years ago

Read 2 more answers

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing

photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

$H_{0}$ :p=0.20

$H_{a}$ :p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of specimens yield before the theoretical point ( $\frac{9}{40}=0.225$ )

p is the proportion assumed under null hypothesis. (0.20)

N is the sample size (40)

Using the numbers

z= $\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } }$ =0.3953

and the P-value is then P(z)≈0.3463

4 0

3 years ago

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vovikov84 [41]

Answer:

The sides from least to greatest are AB, BC, AC

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3 years ago

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