"If you share 7 apples equally with 3 people, then there are 2 1 3 ..." First, complete the sentence. Then, briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem.

Answer:

C edg 2020

Step-by-step explanation:

Answer:

$644.64

Step-by-step explanation:

Total shares=316

Annual Dividend on 1 share =$8.16

Annual Dividend on 316 shares=$8.16*316

=$2578.56

As there are four quarters in a year, the total annual dividend will be divided by 4 to get the quarterly dividend.  

Quarterly Dividend for 316 shares=  2578.56/4

=$644.64

Answer:

the answer is c

Step-by-step explanation:

Answer:

'each embraces New York with the intense excitement of first love, each absorbs New York with the fresh eyes of an adventurer, each generates heat and light to dwarf the Consolidated Edison Company'

The correct answer is C - The imagery illustrates his view of what a true New Yorker is and the relationship that a New Yorker should have with the city.

The payroll deductions among the given choices are Taxes, health insurance premiums and pension fund contributions.

Payroll deductions are those amounts which are deducted from an employee's payroll amount. These amounts are usually withheld by the employer where the employee works. Payroll deductions include insurance pension contributions, wage assignments, child support payments, taxes, and union and uniform dues.

the proportional segments for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

Given:

In the given diagram , QS is parallel to MN

when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion

From the given the sides are in proportion

[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]

so the answer for the given diagram is

[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]

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Answer:

Option B. 4m - 24n + 3

Step-by-step explanation:

There are two polynomials (17m - 12n - 1) and (4 - 13m - 12n)

We have to add the given tow polynomials

(17m - 12n -1) + (4 - 13m -12n)

Now we will put the similar terms together and add them.

(17m - 12n -1 + 4 - 13m - 12n) = 17m - 13m -12n - 12n -1 + 4 = 4m - 24n + 3

The final answer by adding them is Option B. 4m - 24n + 3

The lateral area of a right circular cone with a radius of 6 feet and height of 8 feet is 60π square feet. We calculate this by first finding the slant height using the Pythagorean Theorem and then substituting the radius and slant height into the formula for the lateral area of a cone.

The lateral area of a cone can be calculated using the formula πrl, where r is the radius and l is the slant height. However, in this question, we're not provided the slant height, but the height. Therefore, we first need to find the slant height using the Pythagorean theorem, since a right circular cone forms a right triangle with the radius and the height. Using Pythagorean theorem, the slant height (l) can be found as

l = √(r² + h²) = √((6ft)² + (8ft)²) = 10ft.

Substitute the values of r and l into the formula for lateral area: πrl = π × 6ft × 10ft = 60π ft².

So, the lateral area of the cone is 60π square feet.

Remember to always use the correct units when solving such problems.

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Final answer:

To solve 0.98 = log x, you determine the number x for which 10 raised to the power of 0.98 equals x. Using a calculator, you find that x is approximately 95.50.

Explanation:

To solve the equation 0.98 = log x, we need to find the value of x such that when you take the common logarithm (base 10) of x, you get 0.98. A common logarithm is a logarithm with base 10, and the equation informs us that x is 10 raised to the power of 0.98 since y = log10(x) can be rewritten as x = 10y.

To find x, we can use the inverse operation of logarithm, which is exponentiation. We can express this process as follows:

x = 100.98

Using a calculator with exponentiation functionality, we enter the value of 0.98 and use the 10x function (sometimes labeled as INV or SHIFT followed by the LOG key).

The result is that x is approximately 95.50 when rounded to the nearest hundredth.

Given is a Right triangle PQR with angle Q = 90 degrees.

Given are sides PQ = 8 cm, QR = 15 cm, PR = 17 cm.

Side PR is the hypotenuse.

We can use formula for "sin" given as follows :-

[tex] sin(\theta)=\frac{Opposite}{Hypotenuse} [/tex]

For angle R, opposite side would be PQ.

[tex] sin(R)=\frac{PQ}{PR} \\\\
sin(R)=\frac{8}{17} \\\\
sin(R)=0.470588235 \\\\
R=sin^{-1}(0.470588235) \\\\
R = 28.07248694 \;\;degrees \approx 28.07 \;degrees [/tex]

For angle P, opposite side would be QR.

[tex] sin(P)=\frac{QR}{PR} \\\\
sin(P)=\frac{15}{17} \\\\
sin(P)=0.882352941 \\\\
P=sin^{-1}(0.882352941) \\\\
P = 61.92751306 \;\;degrees \approx 61.93 \;degrees [/tex]

Hence, R = 28.07 degrees and P = 61.93 degrees.

To solve the problem we must know about Trigonometric functions.

[tex]\rm {Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\rm {Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\rm {tan\theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

For ∠R, the opposite side will be PR, therefore, PR will be the Perpendicular,

Substituting the values in the formula of Sine,

[tex]\rm {Sin (\angle R)=\dfrac{PQ}{PR}\\\\ [/tex]

[tex]\rm {Sin (\angle R)=\dfrac{8}{17}\\ [/tex]

[tex]\rm {(\angle R)=Sin^{-1} \dfrac{8}{17}\\ [/tex]

[tex]\rm {(\angle R)=28.0724^o [/tex]

Hence, the value of the ∠R is 28.0724°.

For ∠P, the opposite side will be QR, therefore, QR will be the Perpendicular,

Substituting the values in the formula of Sine,

[tex]\rm {Sin (\angle P)=\dfrac{QR}{PR}\\\\ [/tex]

[tex]\rm {Sin (\angle P)=\dfrac{15}{17}\\ [/tex]

[tex]\rm {(\angle P)=Sin^{-1} \dfrac{15}{17}\\ [/tex]

[tex]\rm {(\angle R)=61.9275^o [/tex]

Hence, the value of the ∠P is 61.9275°.

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Answer:

Basic common sense just by looking at the dimensions

Step-by-step explanation:

...

A. 1/64in

B. 7/400in

C. 1/4in

D.4 11/16

The width of the original rectangle is 5 inches and the length is 15 inches.

Let's assume the width of the original rectangle is x inches. According to the problem, the length of the rectangle is 3 times its width, so the length of the original rectangle is 3x inches.

When the width is diminished by 1 inch, the new width becomes x - 1 inches. And when the length is increased by 3 inches, the new length becomes 3x + 3 inches.

The area of a rectangle is given by length multiplied by width, so we can set up the following equation:

(x - 1)(3x + 3) = 72

By multiplying out the terms and rearranging the equation, we get:

3x^2 + 6x - x - 3 = 72

Combining like terms and simplifying further:

3x^2 + 5x - 75 = 0

Solving this quadratic equation gives us two possible answers for x: x = -5 or x = 5.

Since the width cannot be negative, we discard the negative value of x. Therefore, the width of the original rectangle is 5 inches and the length is 3 times the width, which is 3 * 5 = 15 inches.