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3 years ago

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Mathematics

2 answers:

SOVA2 [1]3 years ago

8 0

C I did that question right now.

deff fn [24]3 years ago

5 0

C, 2 times the variable a (apples) would make double, add 5 is adding five more apples

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The angles of a triangle are 99??, 3x??, and x + 5??.

Anit [1.1K]

Since we know a triangle only has 180 degrees we can say:

99+3x+x+5=180

Then we can solve for x:

4x+104=180
4x=76

x=19

3 0

3 years ago

Consider the square pyramid shown

Tasya [4]

The slant height of the pyramid is 756 feet

4 0

3 years ago

During a sale, CDs that normally cost $6.98 each were priced at 2 for $12.50. Pete bought 4 CDs at the sale price. How much mone

RSB [31]

Answer:

2.92

Step-by-step explanation:

Normal price

4 * 6.98 =27.92

Sale price

2 for 12.50 means 4 at 2* 12.50

2*12.50 = 25

Subtract

27.92-25=2.92

He saved 2.92

4 0

3 years ago

A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

$\frac{1}{48\pi}=\frac{dr}{dt}$

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0

3 years ago

The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

3 years ago