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3 years ago

7

Compare the decimals 56.07 and 56.7.

1 answer:

fomenos3 years ago

5 0

56.07 < 56.7
Because 56.7 is 56.70

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A figure is composed of a rectangle and a right triangle. What is the area of the figure?

strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

$A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h$

We substitute the values to obtain;

$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

$Area=\frac{1}{2}(21.6cm)\times 6cm$

$Area=64.8cm^2$

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

$C=2\pi r$

where $r=3.5ft$ is the radius of the circular table cloth.

We substitute this value and $\pi=3.14$ into the formula to get;

$C=2(3.14)(3.5)ft$

$C=21.98ft$

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

$C=39.25cm$

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

$Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh$

$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

$Area=645.3125cm^2$

$Area\approx645cm^2$

QUESTION 6

The area of the parallelogram is given by the formula;

$A=bh$

From the diagram, $b=y\:in.,h=3in.$ .

Given, A=23.7 inches squared.

We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

The area of the shaded region $=135-104=31in^2$

5 0

4 years ago

Really struggling! Will give 20 points to answers correctly

Rom4ik [11]

Answer:

8,820

Step-by-step explanation:

One candle:

½ × 10 × 7 × 6

= 210 cm³

42 candles:

42 × 210

= 8,820 cm³

8 0

4 years ago

Read 2 more answers

Question 1<br> 2XY3 + 3XY3<br> 5X2Y6<br> True or <br> False

Law Incorporation [45]

U believe it’s F....

5 0

3 years ago

Read 2 more answers

Describe a model that represents 3/3 * 4/4

ioda

3/3 = 1
4/4 = 1
1 × 1 = 1
3/3 × 4/4 = 1

8 0

3 years ago

Read 2 more answers

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Rus_ich [418]

Answer:

$y=\frac{-1}{3}x-4$

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> - slope

<em>b </em>- y-intercept

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope <em>m</em>

<em /> $m=\frac{-2-(-7)}{-6-9}$ <em />

<em /> $m=\frac{-2+7}{-15}$ <em />

<em /> $m=\frac{5}{-15}$ <em />

<em /> $m=\frac{-1}{3}$ <em />

$y=\frac{-1}{3}x+b$

Step 3: Find y-intercept <em>b</em>

<em /> $-7=\frac{-1}{3}(9)+b$ <em />

<em /> $-7=-3+b$ <em />

<em /> $-4=b$ <em />

<em />

Step 4: Write linear equation in slope-intercept form

$y=\frac{-1}{3}x-4$

8 0

3 years ago