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2 years ago

A student took two national standardized tests while applying for college. On the first test,

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

Answer:

Step-by-step explanation:

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A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches.

VMariaS [17]

Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

7 0

2 years ago

A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas

yaroslaw [1]

Answer:97 rods

Step-by-step explanation:

The number of steel rods for 95% confidence level

$n=\left ( \frac{Z_\frac{\alpha }{2}\times \hat{\sigma }}{E} \right )^2$

$Z_\frac{\alpha }{2}=1.96$

E=3

$\hat{\sigma }=15$

Substituting values

$n=\left ( \frac{1.96\times 15}{3}\right )^2$

$n=96.04\approx 97$

Thus 97 rods is tested

6 0

3 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

2 years ago

Help me please <br> I’m doing a test and cant get this

ella [17]

Answer:

Step-by-step explanation:

first you get rid of the exponents and get

9+25-2×9

then you multiply and get

9+25-18

then you add And get

34-18

lastly you subtract to get your answer which is

7 0

2 years ago

Find the slope of the line.

Anika [276]

The equation for working out the slope of a linear line is: $\frac{y_2 - y_1}{x_2 - x_1}$ , where x and y are the coordinate pairs.

So just pick two of the purple dots on the graph and fill in the equation.

I'll pick the dot that's (-4, 1) and (4, -7).

Now I just do $\frac{7 - 1}{4 - -4}$ , which is just $\frac{3}{4}$ when simplified.

6 0

3 years ago