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3 years ago

Which is the value of x? X=16 X=29 X=44 X=46

Mathematics

2 answers:

Dahasolnce [82]3 years ago

5 0

Answer:

x = 16

I hope this helps!

Elis [28]3 years ago

5 0

Answer:

x=16

Step-by-step explanation:

The angles of the inside of a triangle always add up to 180

2*16= 32

3*16=48

16+84=100

32+48+100=180

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6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

Lelu [443]

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

For top part

Length = 10 inches

Width = 5 inches

Height = 6 inches

As we know:

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times5\times6=300\ cubic\ inches$

For bottom part

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times9\times6=540\ cubic\ inches$

Volume of two steps = 300 + 540 = 840 cubic inches

Therefore, the volume of the steps are 840 cubic inches.

8 0

3 years ago

A physicist examines 25 water samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.165 cc/

xz_007 [3.2K]

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

Critical value t=1.318

Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016$

The degrees of freedom for this sample size are:

$df=n-1=25-1=24$

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=1.318 \cdot 0.016=0.021$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186$

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

6 0

3 years ago

If A, B, and C are collinear, and AB = 18, AC = 41, what is a possible measure of BC?

ikadub [295]

Step-by-step explanation:

As ANC are collinear,

AB+BC=AC

so,

18+BC = 41

BC = 41-18

BC = 23 is the answer.

8 0

3 years ago

Read 2 more answers

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$

$AC^{2} + AD^{2} = AB^{2}$ (Given that AD = BC)

$AC^{2} + AD^{2} = 3^{2}$ (Given that AB=3)

$AC^{2} + AD^{2} = 9$ ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

$AD^{2} + CD^{2} = AC^{2}$

$AD^{2}+(\sqrt{2})^2= AC^{2}$

$AD^{2}+2= AC^{2}$

$AD^{2}=AC^{2} -2$ ...(ii)

Plug value (ii) into (i)

$AC^{2} + AC^{2}-2 = 9$

$2AC^{2} -2=9$

$2AC^{2} =11$

$AC^{2} =\frac{11}{2}$

$AC=\sqrt{\frac{11}{2} }$

Hence final answer is $AC=\sqrt{\frac{11}{2} }$

8 0

3 years ago

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Byron filed for bankruptcy a few years ago, but is still paying higher deposits and interest rates. Byron has calculated that he

Sati [7]

HI,

The Answer to this question is:

B) $968.80

Hope This Helps!

8 0

3 years ago

Read 2 more answers