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Veseljchak [2.6K]

3 years ago

8

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two points to a third point, C on the circle.

If m = 64°, what is mACB?

1 answer:

Gwar [14]3 years ago

7 0

C. 65 degrees is the answer.

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Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?

Lerok [7]

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

7 0

3 years ago

Fatima is shaping this model to show 0.08 x 3. shade the correct amount of boxes that will show the product. fatima should shade

julia-pushkina [17]

Answer:

Fatima should shade 3 groups of 8 small squares or 24 small squares.

Step-by-step explanation:

Consider the provided information.

Fatima is shading this model to show 0.08 × 3. Shade the correct amount of boxes that will show the product.

Here 3 represents the number of groups and 8 represents the small square.

Multiplication is repeated addition.

We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08

Therefore 0.08 × 3 = 0.24

Here 0.24 represents 24 small squares.

The required model is shown below:

Hence, Fatima should shade 3 groups of 8 small squares or 24 small squares.

8 0

3 years ago

Simplify w1/2 and w1/3

mars1129 [50]

Answer:

They are on their simplified form.

Step-by-step explanation:

Since these numbers are prime numbers we can't simplify them. But we can change them to decimal.

1/2=0.5

1/3=0.3 (in which 3 repeats itself)

Hope this helps ;) ❤❤❤

4 0

2 years ago

You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2

Maurinko [17]

Answer:
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.

4 0

1 year ago

Suppose a researcher is interested in understanding the variation in the price of store brand milk. A random sample of 36 grocer

liberstina [14]

Answer: ($3.055, $3.205)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.5$

Critical value : $z_{\alpha/2}=1.96$

Sample size : n= 36

Sample mean : $\overline{x}=\$\ 3.13$

Standard deviation : $\sigma= \$\ 0.23$

The confidence interval for population mean is given by :_

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$\text{i.e. }\$\ 3.13\pm (1.96)\dfrac{0.23}{\sqrt{36}}\\\\\approx\$\ 3.13\pm0.075\\\\=(\$\ 3.13-0.075,\$\ 3.13+0.075)=(\$\ 3.055,\$\ 3.205)$

Hence, the 95% confidence interval to estimate the population mean = ($3.055, $3.205)

3 0

2 years ago