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Fantom [35]
2 years ago
12

What is the answer for question 1 and how

Mathematics
2 answers:
Evgesh-ka [11]2 years ago
8 0
CAB= 180-42= 138/2= 69° as base angles of an isosceles triangle are equal
CAO= 90 as radius meets the tangent at 90°
OAB = 90-68= 21°
AOB= 180-(21+21)
=180-42= 138°
a²= b²+c²-2bcCosA
AB²= 7²+7²-2x7x7Cos138
AB²= 170.8281929
AB= √170.8281929
AB= 13.07012597cm
Or 13.1 to 3sf
quester [9]2 years ago
4 0

Step-by-step explanation:

ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.

OC is now a median for ABC splitting the angle at C and AB in half.

so, we have 2 right-angled triangles : OAC and OBC.

the half-angles at C are 42/2 = 21°.

the angles at A and B are 90°.

and the half-angles at O are 180 - 90 - 21 = 69°.

remember that the sum of all angles in a triangle must always be 180°.

AB are the heights of both of these triangles.

the single height is sin(69)×7 = 6.535062985... cm

and so,

AB = 2× height = 13.07012597... cm.

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Factorize the following<br><br> jx+sy-sx-jy
BartSMP [9]

Answer:

(x - y)(j - s).

Step-by-step explanation:

jx + sy - sx - jy

= jx - sx + sy - jy

= x(j - s)  - y(j - s)

= (x - y)(j - s).

8 0
3 years ago
HELP ASAP!! 10 minuets left! lots of points
VLD [36.1K]

Answer:

130 yd^2

Step-by-step explanation:

First we find the area of the triangle

A = 1/2 b h  where b is 10 and h= 6.25

A = 1/2 (10) * 6.25

   = 31.25 yd^2

Then we find the area of rectangle A

A = l*w  where l is 10 and w = (7.5-2.5) = 5

A = 10 * 5

   = 50 yd^2

Then we find the area of rectangle B

A = l*w  where l is 6.5 and w = 7.5

A = 6.5 * 7.5

   = 48.75 yd^2

The total area is found by adding them together

A triangle + rectangle A  + rectangle B

31.25+50 + 48.75

130 yd^2

5 0
3 years ago
Yoko evaluates 7 divide 1/6 by using a related multiplication expression. Which multiplication expression should she use?
Olin [163]
\bf 7\div \cfrac{1}{6}\implies 7\cdot \cfrac{6}{1}
4 0
3 years ago
Read 2 more answers
3x - 9 = (-18)<br> Please help step by step please
GarryVolchara [31]

Answer: x = -3

Step-by-step explanation:

3x - 9 = -18

1. Add 9 to each side.

3x-9=-18

   +9  +9

3x=-9

2. Divide by 3.

3x/3 = -9/3

You are done.

x = -3

5 0
3 years ago
Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of
postnew [5]

Answer:

6hrs

Step-by-step explanation:

First, we have to put the information given to us about the money they earn into an expression

let x represent the number of hours Kini and Duke work and y represent the total amount of money they earn in a week.

y(kini) = 9x + 8

y(duke) = 7.5x + 17

Now we subtract the x values and the constant values

9x - 7.5x = 1.5x

17 - 8 = 9

Make these into an equation

1.5x = 9

Divide both sides by 1.5 so x(the number of hours the both work) can stand alone.

\frac{1.5x}{1.5}= \frac{9}{1.5}

x = 6 hrs

4 0
3 years ago
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