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3 years ago

If p = the price of a pair of basketball shoes, which algebraic expression

Mathematics

2 answers:

Juliette [100K]3 years ago

8 0

Answer:

that would be the letter D because......

Step-by-step explanation:

p equals the price of basketball shoes

5 dollars LESS than the price suggested that it is

p-5

Kryger [21]3 years ago

7 0

The answer will be D

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If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.

Aneli [31]

Answer: Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

$\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm$

Therefore

AO=BO=CO= 10 cm

Now

$OE = CO- CE \Rightarrow OE= 10 -4 = 6 cm$

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

$BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm$

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

$AB= 2\times BE = 2\times 8=16 cm$

Hence , the length of AB is 16 cm .

8 0

3 years ago

A recent study found a correlation between gum disease and heart disease. This result indicates that gum disease causes people t

Yuliya22 [10]

Answer:

False

Step-by-step explanation:

Correlation measures the strength of the relation between two variables.

Further, Correlation is said to be positive if increasing/decreasing the one variable, also increases/decreases the values of another variable.

Correlation is said to be negative if increasing/decreasing the one variable, also decreases/increases the values of another variable.

Since we don't know here exists a positive correlation or negative correlation.

So here are two possible conditions:

The person who has Gum disease also has heart disease.

And, the person has Gum disease can never have heart disease.

Thus, the given statement is false.

5 0

3 years ago

Hi im new and i need help picture below, please help, thank you :)

lbvjy [14]

Answer:

x = 80 degrees

Step-by-step explanation:

y degrees = 180 - 55 - 45 (Angles in a triangle add up to 180 degrees)

y degrees = 80 degrees

x = y (Vertically opposite angles are equal)

So,

x = 80 degrees

8 0

3 years ago

Evaluate each logarithm. 100 Points for all questions.

seraphim [82]

Basic properties that will be used:

$\log_ab^n=n\log_ab$

$x^{1/n}=\sqrt[n]x$

$\log_aa=1$

All of these expression can be written to match on or more of the patterns above.

$19.\quad\log_5\sqrt[4]{25}=\log_5(5^2)^{1/4}=\dfrac14\log_55^2=\dfrac12\log_55=\dfrac12$

$21.\quad9\ln e^3+4\ln e^5=27\ln e+20\ln e=27+20=47$

$23.\quad2\log_3\sqrt{27}=2\log_3(3^3)^{1/2}=\log_33^3=3\log_33=3$

$25.\quad4\log_2\sqrt8=4\log_2(2^3)^{1/2}=2\log_22^3=6\log_22=6$

$27.\quad\log_3\sqrt[6]{243}=\log_3(3^5)^{1/6}=\dfrac16\log_33^5=\dfrac56\log_33=\dfrac56$

3 0

3 years ago

Read 2 more answers

The can of corn shown is a right circular cylinder with a height of 11 cm. The volume of the can is 486 cubic centimeters. What

hammer [34]

SOLUTION

Since the can is a cylinder, we will use the formula for volume of a cylinder to solve the problem.

Volume of a cylinder is given as

$\begin{gathered} V=\pi r^2h \\ where\text{ r = radius = ?} \\ h=height=11cm \\ V=volume=486cm^3 \end{gathered}$

Applying we have

$\begin{gathered} V=\pi r^2h \\ 486=3.14\times r^2\times11 \\ 486=34.54r^2 \\ r^2=\frac{486}{34.54} \\ r=\sqrt{14.07064} \\ r=3.75108 \end{gathered}$

Hence the answer is 3.8, the second option is the answer

6 0

1 year ago