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3 years ago

What Is The Highest Common Factor in 160 and 4800

Mathematics

1 answer:

Mariana [72]3 years ago

5 0

Answer: the greast common factor between the two is 160

Step-by-step explanation: Find the prime factorization of 160

160 = 2 × 2 × 2 × 2 × 2 × 5

Find the prime factorization of 4800

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps and thanks again for helping me :)

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Please anybody help me please this is so hard that not even I can't solve this I don't pay attention in class

Alla [95]

Answer:

$m\angle B=54^{\circ}$

$m\angle BAD=36^{\circ}$

$m\angle CDA=90^{\circ}$

$BAC=72^{\circ}$

Step-by-step explanation:

Given:

$\overline{AB}\cong \overline{AC},$

$\overline{AD}$ bisects angle BAC

$m\angle C=54^{\circ}$

Triangle ABC is isosceles triangle, because $\overline{AB}\cong \overline{AC}.$ Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

$m\angle C=m\angle B=54^{\circ}$

The sum of the measures of all interior angles is 180°, so,

$m\angle B+m\angle C+m\angle BAC=180^{\circ}\\ \\m\angle BAC=180^{\circ}-2\cdot 54^{\circ}=72^{\circ}$

Since $\overline{AD}$ bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

$m\angle BAD=m\angle CAD=\dfrac{1}{2}m\angle BAC=\dfrac{1}{2}\cdot 72^{\circ}=36^{\circ}$

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

$m\angle CDA=90^{\circ}$

8 0

3 years ago

125 I will mark branliest if right<br> x 35<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> + ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋

Mariana [72]

Answer:

125

× 35

_________

625

375

_______

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+ 35

_______

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Step-by-step explanation:

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3 years ago

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PolarNik [594]

Answer:

Loading Answer...

Step-by-step explanation:

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3 years ago

Read 2 more answers

Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest websit

kirza4 [7]

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

6 0

3 years ago

The data given below contain the state cigarette taxâ€‹ (in $) for all 20 regions of a country.

g100num [7]

Answer:

(a) $\bar x= 1.583$ -- Population Mean

(b) $s = 1.032$ --- Population standard deviation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

$\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84$

$\sum x = 31.66$

$n = 20$

So, we have:

$\bar x= \frac{31.66}{20}$

$\bar x= 1.583$

Solving (b): The population standard deviation

This is calculated as:

$s = \sqrt{\frac{\sum( x - \bar x)^2}{n}$

$\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2$