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Ipatiy [6.2K]
3 years ago
9

Quadrilateral ABCD is a trapezoid with an area of 20 cm². Find the height of the trapezoid, h. Round the answer to the nearest t

enth.

Mathematics
1 answer:
Natalka [10]3 years ago
4 0
Trapezoid Area = (Bases / 2) * Height
20 cm² = 5 * Height
Height = 4 cm


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PLEASE HELP OMG the side lengths of triangle MNO are given: MN=5, NO=4, OM=2.5. the triangle is dilated by a scale factor of k w
elena-14-01-66 [18.8K]

The value of the scale factor k, is 1.5

<h3>Perimeter</h3>

The perimeter of a shape is the sum of the side lengths of the shape

<h3>Dimensions </h3>

The dimensions of the triangle MNO are given as:

MN = 5

NO = 4

OM = 2.5

Calculate the perimeter of the triangle as follows:

MNO=5 + 4 +2.5

MNO=11.5

Divide 17.25 by 11.5 to calculate the scale factor (k)

k = \frac{17.25}{11.5}

k = 1.5

Hence, the scale factor is 1.5

Read more about scale factors at:

brainly.com/question/25657743

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2 years ago
Describe in your own words how to factor of negative one out of an addition or subtraction expression
fomenos

Answer:

Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

Step-by-step explanation:

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2 years ago
What is -23/6-7/3? please hurry!
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Answer:

-37/6 or -6 1/6

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2 years ago
Amazon Appliance Company has three installers. Larry earns $355 per week, Curly earns $460 per week, and Moe earns $585 per week
kenny6666 [7]

Answer:

(a) The amount of SUTA and FUTA taxes that Amazon owes for the first quarter of the year are as follows:

SUTA = $378

FUTA = $56

(b) The amount of SUTA and FUTA taxes that Amazon owes for the second quarter of the year are as follows:

SUTA = $756

FUTA = $112

Step-by-step explanation:

Since there are 52 weeks in a year quarter and 4 quarters in a year, the number of weeks in a quarter can therefore be calculated as follows:

Number of weeks a quarter = Number of weeks in a year / Number of quarters in a year = 52 / 4 = 13

Therefore, quarterly wage of each employee can calculated as follows:

Employee quarterly wage = Employee weekly wage * Number of weeks in a quarter = Employee weekly wage * 13 ………………………………. (1)

We can now proceed as follows:

a. How much SUTA and FUTA tax does Amazon owe for the first quarter of the year?

Using equation (1), we have:

Larry’s quarterly wage = $355 * 13 = $4,615

Curly’s quarterly wage = $460 * 13 = $5,980

Moe’s quarterly wage = $585 * 13 = $7,605

Since only Moe earns more than $7,000 within the first quarter, the amount of SUTA and FUTA taxes owed by Amazon for the first quarter of the year will be calculated based on the Moe’s wage alone as follows:

SUTA = 5.4% * $7,000 = $378

FUTA = (6.2% * $7,000) - SUTA tax = $434 - $378 = $56

Therefore, the amount of SUTA and FUTA taxes that Amazon owes for the first quarter of the year are as follows:

SUTA = $378

FUTA = $56

b. How much SUTA and FUTA tax does Amazon owe for the second quarter of the year? SUTA: $ FUTA: $

Since SUTA and FUTA have been calculated based on first $7,000 of Moe’s quarterly wage in part a above, he will no longer be considered in the calculation for the second quarter.

We therefore proceed as follows:

Larry’s wage for 2 quarters = Larry’s quarterly wage * 2 = $4,615 * 2 = $9,230

Curly’s wage for 2 quarters = Curly’s quarterly wage * 2 = $5,980 * 2 = $11,960

Since both Larry and Curly have earned more than $7,000 within 2 quarters, the amount of SUTA and FUTA taxes owed by Amazon for the second quarter of the year will be calculated based on the first $7,000 of the two of them as follows:

SUTA = 5.4% * $7,000 * 2 = $756

FUTA = (6.2% * $7,000 * 2) - SUTA tax = $868 - $756 = $112

Therefore, the amount of SUTA and FUTA taxes that Amazon owes for the second quarter of the year are as follows:

SUTA = $756

FUTA = $112

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2 years ago
Write in standard form: six hundred seven and twenty-three hundredths *
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Answer:

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Step-by-step explanation:

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