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3 years ago

In the diagram below, angle BAC = 34°.

Mathematics

1 answer:

Svetllana [295]3 years ago

8 0

Answer:

a) 90°

b) 56°

Step-by-step explanation:

If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC

∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°

Then ∠BCA= (180°- 68°)/2= 56°

∠ABC= ∠ABO+∠CBO= 34°+56°= 90°

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A construction crew is lengthening a road. The crew is adding 6 miles to the road each week. The road originally measured 52 mil

PSYCHO15rus [73]

6x + 52 > 130

Subtract 52 from both sides:

6x > 78

Divide both sides by 6:

X > 78/6

X > 13

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3 years ago

Which of these people will be eligible for a tax deduction?

AfilCa [17]

Miles, who makes cash contributions to charities.

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3 years ago

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A rectangular sign has length of 3 and 1/2 ft and a width of 1 and 1/8 ft. Will the area of the sign be greater or less than 3 a

zavuch27 [327]

Answer:

$Area = 3\dfrac{15}{16}\ sq\ ft$

Area is greater than $3\frac{1}{2}$ sq ft.

Step-by-step explanation:

Length of rectangular sign board = $3\frac{1}{2}$ ft

Width of rectangular sign board = $1\frac{1}{8}$ ft

Area of a rectangle is given by the formula:

$A = Length \times Width$

To find the area, we are going to multiply $3\frac{1}{2}$ with $1\frac{1}{8}$ .

$1\frac{1}{8}$ is greater than 1.

Therefore the multiplication will be greater than $3\frac{1}{2}$ .

Hence, we can say that area will be greater than $3\frac{1}{2}$ sq ft.

Area of the sign:

$A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft$

8 0

3 years ago

The brain volumes ?( cm cubed cm3?) of 20 brains have a mean of 1083.9 1083.9 cm cubed cm3 and a standard deviation of 122.2 122

Colt1911 [192]

Answer:

Range: (844.9,1333.7)

A brain volume of 1348.3 cm cubed can be considered significantly high.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1083.9 cm cubed

Standard Deviation, σ = 122.2 cm cubed

Range rule thumb:

This rule state that the the range of data is four times the standard deviation of the data.

$\text{Range} = 4\times \sigma = 4\times 122.2 = 488.8$

Upper Limit:

$\mu + 2\sigma = 1089.3 + 2(122.2) = 1333.7$

Lower limit:

$\mu - 2\sigma = 1089.3 - 2(122.2) = 844.9$

Since, 1348.3 does not lie in the range (844.9,1333.7), a brain volume of 1348.3 cm cubed can be considered significantly high.

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4 years ago

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

docker41 [41]

Hi There!

Dori leaves her house at 12pm.

50 steps per minute until 12:20pm.

Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,

12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps

Malory leaves her house at 12:20pm.

Walks 90 steps per minute.

12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900

Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500

500 + 1000 = 1500

Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900

900 + 900 = 1800

Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500

1750 + 500 = 2250

Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900

450 + 1800 = 2250

Answer: they have the same number steps at 12:45 p.m.

Hope This Helps :)

3 0

3 years ago