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4 years ago

Please help me out plz

Mathematics

1 answer:

9966 [12]4 years ago

8 0

Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.

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A semicircle is attached to the side of a rectangle as shown.

laiz [17]

Answer:

$58.8\ mm^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=bh$

where

$b=9\ mm\\h=3\ mm$

substitute

$A=(9)(3)=27\ mm^2$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=9/2=4.5\ mm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=\frac{1}{2}(3.14) (4.5)^{2}$

$A=31.8\ mm^2$

step 3

Find the area of the figure

$A=27+31.8=58.8\ mm^2$

4 0

4 years ago

Read 2 more answers

What is the inverse of the function f(x)=1/9+2

Fiesta28 [93]

Hope I helped you god bless

8 0

3 years ago

4. A food company is concerned that its 16-ounce can of sliced pears is being overfilled. The quality-control department took a

Vinvika [58]

Answer:

The mean weight is not greater than 16 ounces

Step-by-step explanation:

Null hypothesis: Mean weight is greater than 16 ounces

Alternate hypothesis: Mean weight is not greater than 16 ounces.

Sample mean= 16.04 ounces

Assumed mean= 16 ounces

Significance level = 0.05

Sample standard deviation = 0.08 ounces

Number of samples= 35

To test the claim about the mean, Z = (sample mean - assumed mean) ÷ (standard deviation÷ √number of samples)

Z = (16.04 - 16) ÷ (0.08 ÷ √35)

Z = 0.04 ÷ (0.08 ÷ 5.92)

Z= 0.04 ÷ 0.014 = 2.86

Z = 2.86

It is a one-tailed test, the critical region is an area of 0.05 (the significance level). The critical value of the critical region is 1.64

Since the computed Z 2.86 is greater than the critical value 1.64, the null hypothesis is rejected.

Conclusion

The mean weight is not greater than 16 ounces

8 0

3 years ago

PLZ HELP, PLZ HELP, PLEASE HEL

vesna_86 [32]

step by step fraction calculator babes it's so amazing

3 0

3 years ago

How to turn 5 feet and 4 inches into centimeters

AleksandrR [38]

Key:

12 inches = 1 foot
1 inch = 2.54 cm

1. Convert Feet to Inches
5ft(12) = 60 inches + 4 inches = 64 inches in all

2. Convert Inches into Centimeters
64in(2.54) = 162. 56 Centimeters

Answer: <span>162. 56 Centimeters</span>

5 0

3 years ago