A cup of water holds about 8 ounces. If a recipe calls for 1/3 cup of water, which is the best estimate of the number of ounces that are needed?

Answer:

The terms apply to the given shape are pentagon, irregular polygon and convex polygon.

Step-by-step explanation:

A polygon which have 5 sides called pentagon and if these sides are unequal then it is irregular pentagon or we can say irregular polygon.

A convex polygon is defined as a polygon with all its interior angles less than 180°.

Hence, the terms apply to the given shape are pentagon, irregular polygon and convex polygon.

Answer: Your answer is

convex, pentagon, irregular polygon.

Hope this helps!!! Trust me it's right I got mine right!!

-4 + 3/2=

Exact Form:

-5/2

Decimal Form:

-2.5

Mixed Number Form:

-2  1/2

Answer:

[tex]\frac{-5}{2}[/tex], [tex]-2\frac{1}{2}[/tex], -2.5

Step-by-step explanation:

So what we want to do is get both of the numbers into the appropriate fraction. So we already have 2 as a fraction so lets just convert -4 into fraction form with a denominator as 2.

[tex]-4+\frac{3}{2}[/tex]

-4 in fraction form is [tex]\frac{-8}{2}[/tex]

We can determine that it is in the right fraction form as if you divide -8 by 2, you would get -4 as the answer so...

[tex]-4 = \frac{-8}{2}[/tex]

Now rewrite the equation now

[tex]\frac{-8}{2} + \frac{3}{2}[/tex]

Now simplify

-8 + 3 = -5

[tex]\frac{-8}{2} + \frac{3}{2}[/tex][tex]= \frac{-5}{2}[/tex]

-5/2

This can be simplified to [tex]-2\frac{1}{2}[/tex]

Or to the decimal form which is -2.5

The sales tax rate was calculated based on the information of the first item, and we found it to be approximately 8.09%. Using this tax rate, the pre-tax price of the second item, on which the sales tax was $19.25, was found to be approximately $237.85.

To solve this problem, we first need to determine the percentage rate of the sales tax based on the first item. Given that a sales tax of $22 was applied to an item that cost $272 before tax, we can calculate the tax rate as follows: (22/272)*100 = 8.09%. This indicates that the tax rate is approximately 8.09%.

Next, if we assume that the sales tax rate is the same for the second item, we can calculate the pre-tax price of this item. Given that the sales tax on the second item is $19.25, the price of the item before tax can be calculated as follows: 19.25/0.0809 = $237.85 approximately. Therefore, the second item costs about $237.85 before tax.

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Answer: 250 coins

Step-by-step explanation:

Betsy has 25 quarters

let quarters = q

nickels = n

pennies  =  p

n = 3q = 3*25 = 75

p = 2n = 2* 75 = 150

she has total  of 25 + 75 + 150= 250 coins

Final answer:

The recipe calls for 1 1/4 cups of strawberries, which is equivalent to 5/4 cups when written as an improper fraction.

Explanation:

The question asks, "How many cups of strawberries, written as a fraction greater than one, are used in the recipe?" The recipe calls for 1 1/4 cups of strawberries. This quantity is already given in the form of a mixed number, which combines a whole number (1) and a fraction (1/4). To write it as a fraction greater than one, which is also called an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. So, the calculation would be (1 × 4) + 1 = 5, making the fraction 5/4. Therefore, the recipe uses 5/4 cups of strawberries written as an improper fraction.

Answer:

B. $2492.36

Step-by-step explanation:

We are given the formula for compound interest,

[tex]A(t)=p(1+i)^x[/tex] where p is the amount of principal, i is the interest rate and x is the number of years.

In our problem, p is 2000, i = 4.5% = 4.5/100 = 0.045, and x is 5:

[tex]A(t)=2000(1+0.045)^x\\\\A(5)=2000(1.045)^5\approx 2492.36[/tex]

Maria will have [tex]\$\ 2492.36[/tex] in her account after [tex]5[/tex] years.

Compound interest is the interest which is received on the principal and the previous interest.

Amount [tex]=P(1+\frac{R}{100})^t[/tex]

We have,

Invested principal [tex]=\$2000[/tex]

Compound interest Rate [tex]=4.5\%[/tex]

Time of investment [tex]=5[/tex] years

So,

Using the above mentioned formula;

Amount [tex]=P(1+\frac{R}{100})^t[/tex]

              [tex]=2000(1+\frac{4.5}{100})^5[/tex]

              [tex]=2000(1+\frac{9}{200})^5[/tex]

              [tex]=2000\ *\ (\frac{209}{200})^5[/tex]

Amount [tex]=\$\ 2492.36[/tex]

So, Amount in Maria's account is [tex]\$\ 2492.36[/tex].

Hence, we can say that Maria will have [tex]\$\ 2492.36[/tex] in her account after [tex]5[/tex] years.

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The equation 3sec (x) -2 = 1 solved on the interval is x = 0

From the question, we have the following parameters that can be used in our computation:

3sec (x) -2 = 1

Express sec(x) as 1/cos(x)

So, we have

3 * (1 / cos (x)) - 2 = 1

Add 2 to both sides

3 * (1 / cos (x)) = 1 + 2

Evaluate the like terms

3 (1 / cos (x)) = 3

Divide through by 3

(1 / cos (x)) = 3/3

So, we have

cos (x) =  1

Take the arc cos of both sides

x = 2nπ

On the interval [0, 2π), we have x = 0

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After rotating angle Q, which initially measures 30 degrees, by 15 degrees, the new angle Q' measures 45 degrees.

When we talk about rotating an angle, we are referring to moving the angle around its vertex through a specified measure. If we have angle Q which measures 30 degrees and we rotate it by 15 degrees, we are effectively adding 15 degrees to the original angle. Thus, the measure of angle Q' will be 30 degrees plus 15 degrees which equals 45 degrees. Rotations do not change the original angle but instead give us a new angle based on the original position plus the rotation.

General Idea:

Pythagorean theorem states that in a right triangle, if side of triangle is given by ' a ', bottom of the triangle is given by ' b ' and hypotenuse of triangle is given by ' c', then Sum of squares of a and b is equal to the square of hypotenuse.

[tex] a^{2} \; +\; b^{2}\; =\; c^{2} [/tex]

Applying the Concept:

[tex] Given\\Side\;of\;triangle\;(a)\; =\; 8\\ Bottom\;of\;triangle\;(b)=15\\ \\ To\; Find\\Hyptotenuse\;(c)\\ \\ a^{2}+b^{2}=c^{2}\\ 8^2+15^2=c^2\\ \\ 64+225=c^2\\ \\ 289=c^2\\ \\ c^2=289\\ Taking \; Square\;root\;on\;both\;sides\\ \\ \sqrt{c^2}=\sqrt{289} \\ \\ c=17 [/tex]

Conclusion:

The length of the missing side of the right triangle, when side 8 & bottom 15 is 17. The correct answer is option B!!

Answer:

4/8

Step-by-step explanation:

The tree is 15 feet tall

The tree in Pedro's front yard was 5 ft tall last year.

This year, the tree is 2 feet less than the height of Pedro's house.

let

the height of the tree = x

Therefore,

height of the house = 17 feet

17 - 2 = x

x = 15 ft

Therefore, the tree is 15 feet tall

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The tree in Pedro's front yard is currently 15 feet tall, which is 2 feet shorter than the height of Pedro's 17 feet tall house.

Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet shorter than the height of Pedro's house. If Pedro's house is 17 feet tall, we need to calculate the tree's current height by subtracting 2 feet from the height of the house. Therefore, the tree's current height would be 17 feet - 2 feet = 15 feet tall.