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3 years ago

6

Solve for x. −18 = −2/3 x

2 answers:

vredina [299]3 years ago

7 0

Answer:

x = 27

Step-by-step explanation:

To isolate x, we can multiply it by the reciprocal of the fraction (-3/2). We do the same to the -18.

Through cross-multiplication, -18/1 x -3/2 simplifies into -9/1 x -3/1 (because 2 goes into 2 once and 2 goes into -18 -9 times).

-9 x -3 = 27; therefore, x = 27

lutik1710 [3]3 years ago

7 0

Answer:

X= 27

Step-by-step explanation:

Muliply by the reciprocal to get rid of the fraction on the right.

(-3/2)-18=(-2/3)(-3/2)x

Simplify by multiplying the fractions. The left makes 54/2 and the right makes x because the reciprocals cancel each other out.

54/2=x

Simplify your fraction by dividing 54 by 2

27=x

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two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the larger circ

Bond [772]

the complete question in the attached figure

Let
A°-----------> <span>the same central angle

</span><span>For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360</span>°<span> (full circle) has a length of------------> 75.36 m
A</span>°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
length of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m

360° (full circle) has a length of------------> 47.1 m
76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle

the answer is
the length arc of the smaller circle is 10 m

3 0

3 years ago

please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss

beks73 [17]

Answer:

The Value of $a=\frac{15}{4}$ .

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

$sin\ \theta = \frac{opposite\ side}{Hypotenuse}$

$sin \ S= \frac{PQ}{QS}$

Substituting the given values we get;

$sin\ 30\°=\frac{x}{15}$

Now we know that;

$sin\ 30\° = \frac12$

So we can say that;

$\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}$

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

$Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\$

$Cos\ Q = \frac{QR}{PQ}$

Substituting the given values we get;

$cos 60\°= \frac{a}{x}$

Now we know that;

$cos 60\°= \frac12$

$x=\frac{15}{2}$

So substituting the values we get;

$\frac{1}{2}=\frac{a}{\frac{15}{2}}$

By Using Cross Multiplication we get;

$a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}$

Hence The Value of $a=\frac{15}{4}$ .

6 0

3 years ago

Copy the shape and fill in the missing angle. Sow the work. Thanks.

Otrada [13]

Answer:

x = -11

Step-by-step explanation:

Hello There!

create an equation

x + 51 + 60 + 80 = 180

combine like terms

51 + 60 + 80 = 191

x + 191 = 180

subtract 191 from each side

180 - 191 = -11

we're left with

x = -11

6 0

3 years ago

Daniel got 86% on his test and he solved 5 points extra credit problem. What would be his new grade on this test?

tensa zangetsu [6.8K]

86%=86/100
86+5=91
91/100=91%

7 0

3 years ago

Selena can make 5 pancakes in 12 minutes. which equation can be used to find m the number of minutes needed to make 20 pancakes

Tamiku [17]

I hope this helps you

5 0

3 years ago