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3 years ago

Please help. I’m struggling to answer this

Mathematics

1 answer:

tamaranim1 [39]3 years ago

8 0

Answer:

$\frac{35}{18}$ π m

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{50}{360}$ ( r is the radius )

= 2π × 7 × $\frac{5}{36}$

= $\frac{70}{36}$ π

= $\frac{35}{18}$ π

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What is the value of H?

Rasek [7]

Answer:

Step-by-step explanation:

Because the base is a straight line, each of the unknown angles in the triangle are 180 - 2h. This means that 360 - 4h + 40 = 180, so 400 - 4h = 180.

Now subtract -4h + 180 from both sides to get 220 = 4h so h = 55.

6 0

4 years ago

Please help right away.

Travka [436]

$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

substitute:

$S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504$

Answer: d. Converges, 504.

8 0

3 years ago

A certain cake recipe calls for 2 7/8 cups of sugar to make one cake, If you want to make four cakes, how many cups of sugar, do

maksim [4K]

You have too divide 2 and 7 and 8 divided by the sum and that’s your answer

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3 years ago

The graph of a linear function is shown.

Anni [7]

Answer:

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3 years ago

According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the

Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

$P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})$

[∵ $z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$ ]

$=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885$ [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0

3 years ago