ABCD is a trapezoid. = 2.5 cm, and = 4 cm, and the area = 6.5 cm2. What is the altitude of the trapezoid?

Answer:

A

Step-by-step explanation:

The denominator in the original question is 5.

Therefore the answer must have 5 in the numerator. The answer can only be A.

6 4/5 = (30 + 4) / 5 = 34/5 This is the original fraction. The upside down of the original fraction is the reciprocal. Upside down of 34/5 is 5/34. You can come to this conclusion by doing this.

The formal definition of a reciprocal is 1/a where a is a fraction.

In this case a = 34/5. The reciprocal is 1/a = 1 // 34/5. You don't change anything by making it 1/1 // 34/5

1/1 // (34/5) Invert and multiply the bottom.

1/1 * 5/34 = 5/34

20 times 4 = 80

 so the change in her account would be negative 80 dollars

The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that Mikayla withdraws​ $20 on 4 different days during a week.

Assuming she had $D before she had made any withdrawals.

∴ The situation can be represented numerically as,

(D - 20 - 20 - 20 - 20) dollars.

= (D - 80) dollars.

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To write equations for four lines forming a parallelogram, we use the slope-intercept form ensuring two sets of parallel lines. Opposite lines have equal slopes and by manipulating the y-intercepts, we ensure they intersect appropriately to form a parallelogram.

Writing an equation for four lines that intersect to form the sides of a parallelogram involves ensuring that opposite sides are parallel and equal in length. One straightforward approach is to use the slope-intercept form of a line, y = mx + b, to define the lines.

Let's start by defining two lines with slopes 'm' and 'm' (since opposite sides of a parallelogram are parallel) and two lines with slopes '-1/m' to ensure they are also parallel to each other but perpendicular to the first set of lines. If we assume lines have y-intercepts at 'b' and '-b' respectively (to ensure symmetry and simplify calculations), our equations would be:

Here, m represents the slope of the first set of parallel lines, b represents the y-intercept of line 1, -b represents the y-intercept of line 2, and k and l are the y-intercepts of lines 3 and 4. By adjusting 'b', 'k', and 'l' we ensure the lines intersect to form a parallelogram.

These lines will form a parallelogram as long as 'k' and 'l' are chosen such that the distances between the y-intercepts of lines 1 and 2, and lines 3 and 4, are equal, satisfying the condition for parallel lines in a parallelogram. This way, we can visually imagine or draw a parallelogram with these four lines as its sides.

the 2600 is the constant so you initially invested $2600

To round $8.0443 to the nearest cent, we leave the second decimal at 4, since the third decimal is also a 4, resulting in $8.04

To round $8.0443 to the nearest cent, you need to look at the third decimal place, which is a '4'. Since we are rounding to the nearest cent, we only keep two decimal places. If the third decimal place is 5 or more, we would round up the second decimal place. However, because it is 4, we do not round up. Therefore, $8.0443 rounded to the nearest cent is $8.04

complete question:

A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 70 to a box and toothbrushes are sold 50 to a box . how many items does the dentist order each month.

Answer:

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

Step-by-step explanation:

The dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month.

The floss is sold 70 to a box, this means about 70 numbers of floss occupies each box of floss.  To get the total number of floss items in the 15 boxes of floss, we have to multiply the number of boxes of floss by the number of floss present in each box. Mathematically,

70 × 15 = 1050  items of floss

The boxes of toothbrushes is 20 . For each box the number of toothbrushes is 50 . To get the total number of tooth brushes  we multiply the number of boxes by the total number of toothbrushes in each box.

50 × 20 = 1000  items of toothbrushes.

The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.

6% = 0.06

multiply:

62900*0.06 = 3,774 ( Would be the amount of increase)

add:

62900 + 3774 = 66,674 (would be the new total)

The observer and the balloon form a right triangle (see attachment).

The balloon is rising at 1.2 rad per min

Using tangent rule, we have:

[tex]\mathbf{tan(\theta) = \frac{y}{x}}[/tex]

Substitute 3 for x

[tex]\mathbf{tan(\theta) = \frac{y}{3}}[/tex]

Differentiate both sides with respect to time (t)

[tex]\mathbf{sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{3} \cdot \frac{dy}{dt}}[/tex]

Make dy/dt, the subject

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\theta) \cdot \frac{d\theta}{dt} }[/tex]

Substitute [tex]\mathbf{\theta = \frac{\pi}{3}\ and\ \frac{d\theta}{dt} = 0.1}[/tex]

So, we have:

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\pi/3) \cdot 0.1 }[/tex]

Using a calculator, we have:

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot 2^2 \cdot 0.1 }[/tex]

Multiply

[tex]\mathbf{\frac{dy}{dt} = 1.2}[/tex]

Hence, the balloon is rising at 1.2 rad per min

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To predict the number of cruise passengers in 2002, multiply the growth rate by the previous year's number of passengers and add that to the previous year's total.

To predict the number of cruise passengers in the year 2002, we need to apply the growth rate of 9% to the number of passengers in the previous year (2001).

Therefore, the predicted number of cruise passengers in the year 2002 is

7.848 million

.

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2000 / 100 = 20

20 * 6 = 120 liters total gas

 120 * 1.20 = $144 total for gas

144 / 3 = $48 each

draw a graph with number of bottles on the x axis ( and number  it 1 through 10 )

 put price on the y axis and label it in increments of $1.50 ( 1.50,  3.00 , 4.50,  6.00, etc.

 Then put dots on the intersection of price with the number of bottles and then draw a straight line through the dots.

for every 1 bottle of water sold the price increases by 1.50

so at x 1 y = 1.50

 at x 2 y = 3.00

 at x 3 y = 4.50

 and so on

Sarah made total 13 sandwiches.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

Given that,

The number of sandwiches chad have = 7

Also, Chad has 6 fewer sandwiches than Sarah,

Let the number of sandwiches Sarah have = x,

According to condition,

Sarah has 6 more sandwiches than Chad,

⇒x = 7 + 6

⇒x = 13

The number of sandwiches that Sarah made is 13.

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We are given the two equations:

(1) -x=29-14y
(2) -9x=-19+14y

Multiply (1) by 9:

-9x = 261 – 126y

Subtract the two equations:

-9x = 261 – 126y

-

-9x=-19 + 14y

0 = 280 – 140y

140y = 280

y = 2

From (1):

-x = 29 – 14 (2)

x = -1

Answers:

x = -1

y = 2

1 year = 52 weeks

52 * 5 = 260 loads

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

The unequal side is the base of the triangle.

The length of the base of the isosceles triangle is

10 cm or 4 cm.

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

The unequal side is the base of the triangle.

We have,

Two sides of an isosceles triangle have lengths:

= 10 cm and 4 cm

The unequal side of the isosceles triangle is the base and the other two sides have to be equal.

We can have two cases-

Case 1.

If the equal two sides are 10 cm.

Base = 4 cm

Case 2.

If the equal two sides are 4 cm.

Base = 10 cm.

Thus the length of the base of the isosceles triangle is

10 cm or 4 cm.

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