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2 years ago

Find the measure of c in the figure below using the side lengths given

Mathematics

1 answer:

liubo4ka [24]2 years ago

5 0

Answer:

Step-by-step explanation:

take angle C as reference angle

using tan rule

tan C=oppposite/adjacent

tan C=6/12

tan C=0.5

C= $tan^{-1}$ 0.5

C=26.6 degree

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Mr and mrs Jones buy cinema tickets for themselves and their three children. the cost of an adult ticket is £6 more than a child

ElenaW [278]

Answer:

£12.60

Step-by-step explanation:

let the cost of a child ticket be x then the cost of an adult ticket is x + 6

Sum the costs and equate to 45

x + 6 + x + 6 + 3x = 45 , that is

5x + 12 = 45 ( subtract 12 from both sides )

5x = 33 ( divide both sides by 5 )

x = 6.6

Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60

7 0

2 years ago

F(a)=-2a +5<br> s(a)= a- 2 - 2a<br> Find f(a) +gla)

Aleks [24]

Answer:

-3a+8

Step-by-step explanation:

f(a)=-2a +5

s(a)= a-2-2a=-a+2

We are asked to determine

f(a) +g(a)

= (-2a +5)+ (-a+2)

=-2a+5-a+2

=-2a-a+5+2

=-3a+8

7 0

2 years ago

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segm

Usimov [2.4K]

we know that

In the right triangle XYZ

$tan (YZX)=\frac{opposite\ side\ angle\ YZX}{adjacent\ side\ angle\ YZX}$

in this problem

$opposite\ side\ angle\ YZX=XY=12.4\ cm\\adjacent\ side\ angle\ YZX=YZ=15.1\ cm$

substitute the values

$tan (YZX)=\frac{12.4}{15.1}$

$Angle (YZX)=arc\ tan (12.4/15.1)$

$Angle (YZX)=39.4\°$

therefore

<u>the answer is the option</u>

B .39.4°

5 0

2 years ago

Read 2 more answers

The line parallel to the x-axis through the point (-17,15)

Jet001 [13]

Answer:

Step-by-step explanation:

line parallel to x-axis through (a,b) is

y=b

so required line is y=15

6 0

2 years ago

The mayor of melvins town choose 160 students form his school to attend a city debate. This amount is no more than 1/4 of the st

kotykmax [81]

Answer: 640 students.

Step-by-step explanation:

given data:

number of student chosen to attend by the mayor = 160

amount this student represents of the total population = $\frac{1}{4}$

solution:

since $\frac{1}{4}$ was chosen which is 160 this means that $\frac{1}{4} is \geq 160$

therefore;

$\frac{1}{4} = 160\\$

multiply both sides by 4

$\frac{1}{4} . 4 = 160 .4\\= 640$

the least number of students that attend melvins school is 640.

6 0

2 years ago