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3 years ago

0.2(x+3)=10 solve for x

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

0.2x + (0.2x3) = 10

0.2x + 0.6 = 10

0.2x = 9.4

x = 9.4/0.2

x = 47

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In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

To find the value of b,

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

3 years ago

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(−2k 3 −7k 2 +5k)+(6k 2 +3k)=

shusha [124]

Answer: 5k +7

Step-by-step explanation: -2k + -7k + 5k is -4K and 2+3=5 -4K +5 and 6k +3k= 9k + 2 then u do -4K plus 9k and get 5k next, 5+2

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2 years ago

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andrey2020 [161]

Answer:

y= 1/4x -2

Step-by-step explanation:

Y=mx+b

m is the slope

b is the y intercept

8 0

2 years ago

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Please please please please please please help me if u can tysmm

faltersainse [42]

Q55.
UTA+ATS=UTS
x+18+120=12x+17
x+138=12x+17
12x-x=138-17
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x=121/11
x=11

mUTA=x+18
put the value of x
11+18
mUTA=29

Q57.
AQP+RQA=RQP
9x+2+75=1+28x
9x+77=1+28x
28x-9x=77-1
19x=76
x=76/19
x=4

mRQP=1+28x
put the value of x
1+28(4)
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4 0

1 year ago

In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?

nexus9112 [7]

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

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2 years ago