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3 years ago

Geometry: Area... triangles and squares

Mathematics

1 answer:

vodka [1.7K]3 years ago

5 0

Answer:

The answer is A

Step-by-step explanation:

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Find the arc length of the partial circle.

bonufazy [111]

Answer:

90 units

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A random sample of 12 chemists from Washington stats shows an average salary of $39,420 with a standard deviation of $1659. A ra

cestrela7 [59]

Answer:

Step-by-step explanation:

Given that :

μ1 = 39420 ; σ1 = 1659 ; s1 = 12

μ2 = 30215 ; σ2 = 4116 ; s2 = 26

df1 = 12 - 1 = 11

df2 = 26 - 1 = 25

98 % confidence interval of the difference in sample means :

Pooled Variance :

S²p = ((df1 * s1²) + (df2 * s2²)) / (df1 + df2)

((11×1659^2)+(25×4116^2))÷(11+25) = 12605874.75

Standard Error :

√(S²p/n1) + (S²p/n2)

√(12605874.75/12) + (12605874.75/26)

= 1239.0847

8 0

3 years ago

The population of a heard of cattle numbered was 5000 to begin with and was 10,000 after 10 years. If the population was growing

Lapatulllka [165]

Answer:

$r=0.0718$ . The closest value from your given choices is C)r=0.69

Step-by-step explanation:

To solve this we are using the standard exponential growth equation:

$f(t)=A(1+r)^t$

where

$f(t)$ is the final population after $t$ years

$A$ is the initial population

$r$ is the growth rate in decimal form

$t$ is the time in years

We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so $A=5000$ , $f(t)=10000$ , and $t=10$ .

Let's replace the values and solve for $r$ :

$f(t)=A(1+r)^t$

$10000=5000(1+r)^{10}$

Divide both sides by 5000

$\frac{10000}{5000} =(1+r)^{10}$

$2=(1+r)^{10}$

Take root of 10 to both sides

$\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}$

$\sqrt[10]{2} =1+r$

Subtract 1 from both sides

$\sqrt[10]{2}-1=r$

$r=\sqrt[10]{2}-1$

$r=1.0718-1$

$r=0.0718$

We can conclude that the growth rate of our exponential equation is $r=0.0718$ . The closest value from your given choices is C)r=0.69

3 0

4 years ago

What is -3/8 divided by 7/12<br> A. -32/7<br> B.-14/9<br> C. -9/14<br> D. -7/32

Helga [31]

To divide fractions, you flip the second one and multiply them so it would be:
(-3/8) / (7/12)
-3/8 * 12/7
-36/56
This can be simplified to :
-9/14
Because you divide both the numerator and denominator by 4.

Hope this helps :)

5 0

4 years ago

An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a

RoseWind [281]

Answer:

$36\ tigers$