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natali 33 [55]
3 years ago
9

What is the measure of the angle x?​

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0
AOB = 2 . x
2x = 60°
x = 30°
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A parallelogram has adjacent sides 25 cm and 6 cm . if one diagonal is 29 cm then find area , height corresponding to the sides
baherus [9]

Answer:

height = 4.8 cm

area = 120 cm²

perimeter = 62 cm

Step-by-step explanation:

<u>**Please refer to the attached diagram when following the step-by-step**</u>

First, find m∠C (green angle on diagram) by using the cosine rule:

c^2=a^2+b^2-2abcos(C)

\implies 29^2=6^2+25^2-2(6)(25)cos(C)

\implies cos(C)= \frac{29^2-6^2-25^2}{-2(6)(25)}

\implies cos(C)= \frac{180}{-300}=-\frac{3}{5}

\implies cos(C)=126.8698976... \textdegree

Therefore, the interior angle of the right triangle at point C (blue angle on diagram) is:

180-cos^{-1}(-\frac{3}{5})=53.13010235... \textdegree

Now use the Sine Rule (for finding sides) to determine height (h):

\frac{6}{sin(90)}=\frac{h}{sin(53.13..)}

\implies \frac{6}{1}=\frac{h}{\frac{4}{5}}

\implies 6 \times \frac{4}{5}=h

\implies h=\frac{24}{5}=4.8

So the height = 4.8 cm

Now we have determined the height, we can calculate the area by using the area of a parallelogram formula:

Area of a parallelogram = base x perpendicular height

⇒ area = 25 x 4.8 = 120 cm²

Parallelogram is a four-sided shape made up of two pairs of straight parallel lines that are equal in length.

Perimeter = sum of the sides

⇒ perimeter = 6 + 6 + 25 + 25 = 62 cm

7 0
2 years ago
Ratioz rate unit rate <br>I have a quiz tmr 7th grade I need to learn ratio, rate unit rates!!! ​
posledela

Alright! I'll help you. Let me tell you what's ratio, rate unit rates all about! :D

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

What is the difference between a unit rate and a ratio?

Guide the discussion so that students understand that a ratio is simply the quotient of two numbers, while a rate is the ratio of two measurements that have different units (like miles and hours, or dollars and ounces). Reinforce the fact that a rate is usually expressed in per unit form, where the denominator is 1.

What are some examples of ratios?

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

Is a rate always a ratio?

Rates and ratios. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

How do I find the unit rate?

To get the unit to equal 1, divide both numbers by the denominator; your answer is the number you get by dividing the numerator by the denominator. Use this method to calculate unit cost, too—you're calculating how much 1 item is worth, after you're given the amount that multiple items cost.

Here are some questions and how to answer them to help you! I hope this helps you! c:

5 0
3 years ago
Two types of barrel units were in use in the 1920s in the united states. the apple barrel had a legally set volume of 7056 cubic
r-ruslan [8.4K]
1.) 7,056 * 41 = 289,296 (apple barrel volume * no. of barrels sold)
     5,826 * 41 = 238,866 (cranberry barrel volume * no. of barrels sold)

2.) Subtract cranberry barrel volume from apple barrel volume
    289,296 - 238,866 = 50,430 cubic inches

3.) Convert 50,430 cubic inches to liters
     50,430 = 826.39 liters or 826.40 liters (rounded off)

4.) Therefore, 826.40 liters is the discrepancy in the shipment volume.
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3 years ago
Help with 3 problems! Worth 23 points!!!
kicyunya [14]

Answer:

1. b. the one with the v shape

2. b.

3. c.

Step-by-step explanation:

in every graph you should use the line test with is when you draw a line from top to bottom and if the line touches more then one dot or line on the graph it isnt not a function

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3 years ago
F(x)=3x+1 and g(x)x^2 what would gf(x) be
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<span>3x^3 + 36x^2 + 12x - 21</span>
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3 years ago
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