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Free_Kalibri [48]
3 years ago
8

What is the value of the expression below x = 8 and y = 3 9x + 7y

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0
93 is the answer to the expression
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In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
3 0
3 years ago
The radius of a circular plate is 12 centimeters. What is the area, in square centimeters, of this plate? Write your Anwer using
lesya [120]

Answer:

The area of circular plate is <u>144π square centimeters</u>.

Step-by-step explanation :

<h3><u>Solution</u> :</h3>

Here, we have given that the radius of circular plate is 12 centimeters.

So, finding the area of circular plate by substituting the values in the formula :

\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(12)}^{2}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(12 \times 12)}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(144)}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi \times 144}}

\longrightarrow{\sf{Area_{(Circle)} = 144\pi}}

\star{\underline{\boxed{\frak{\purple{Area_{(Circle)} = 144\pi\:  {cm}^{2}}}}}}

Hence, the area of circular plate is 144π square centimeters.

\rule{300}{2.5}

5 0
2 years ago
8. Fifty students are trying to raise at least $12.500 for a class trip. They
lions [1.4K]

Answer: Each student should raise $225

Step-by-step explanation:

$12,500-$1,250= $11,250

$11,250/50= $225

Check answer:

$225x50= $11,250

7 0
3 years ago
Please help it’s for Alex
nasty-shy [4]
Okay so the y is in absolute value, which means the number could be a negative and the absolute value would make is a positive.
since the sign is greater than, with no equal to underneath it, than the answer cant be 3 or -3.
the number has to total to be larger than 3. again, since the absolute value turns the negatives into positives, then -4 is an acceptable answer. so the absolute value line should look like the above (please excuse the terrible look). I simplified it to the two numbers that start the equation. the two circle are open circles because the sign does not include an equal sign under it. you draw the arrows on either side of the two numbers because any answer beyond those arrows fits in with the equation
| 4 |
| 184728 |
| -4.5829492994929492949572728 |

did that answer the problem?

5 0
4 years ago
Can someone help me with this problem. please
Kitty [74]

Answer:

Step-by-step explanation:

area = 30x + 30(x+3) + 30(2x)

= 30x + 30x+90 + 60x

= (120x + 90) m²

length of planting area = x + (x+3) + 2x = 4x+3 m

area = 30(4x+3) = (120x + 90) m²

x = 5

maple area = 30(5+3) = 240 m²

locust area = 30(2·5) = = 300 m²

8 0
3 years ago
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