Given that angle a = 54° and angle b = 48°, work out 3.
a
b
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The diagram is not drawn accurately.
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[tex]\\ \tt\rightarrowtail 24+3m>6[/tex]

[tex]\\ \tt\rightarrowtail 3m>6-24[/tex]

[tex]\\ \tt\rightarrowtail 3m>-18[/tex]

[tex]\\ \tt\rightarrowtail m>-6[/tex]

Refer to attachment

Answer:

8/64 = 0.125 = 12.5%

Step-by-step explanation:

8/64 = 0.125 = 12.5%

The speed at which he walks is 7.7km/hr

The formula for calculating the distance is expressed as;

distance = speed * time

Let the speed moved by the man be x

If the  man walks for 2 hours at a certain speed, his distance will be 2x km

If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr

If he goes 77km altogether, hence;

2x + 4(2x) = 77

2x + 8x = 77

10x = 77

x = 77/10

x =7.7km/hr

Hence the speed at which he walks is 7.7km/hr

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Answer:

The slope is:

[tex] \binom{1}{2} [/tex]

In slope-intercept form the equation is:

[tex]y = \binom{1}{2} x - 3[/tex]

Answer:

<

Step-by-step explanation:

-0.5 is greater than -0.64

We need to find the symbol -0.64 ,0-0.5. -0.64<0-0.5.

A number system is defined as a system of writing to express numbers.

We need to find which symbol is used between Minus zero point six four and minus zero point five.

-0.64 and -0.5

As we know that the integers are number with positive, Negative and zero.

-0.64<-0.5

On the number line the integer -0.64 lies on left of -0.5.

So -0.64 is less than -0.5.

Hence -0.64 is less than -0.5.

To learn more on Number system click:

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#SPJ5

Answer: 1300

Step-by-step explanation:

3300-1000=2000

2000-450=1550

1550-150=1400

1400-100=1300

Answer:324.24??? Not sure just a guess.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

[tex]45-------13\\x -------- 9[/tex]

[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]

Hope this helps

Answer:

x > 5

Step-by-step explanation:

14 -14 - 3 x < -1 -14

-3 x < -15

-3 x / -3 < -15 / -3

x > 5

It takes 20 seconds for the cheetah to catch up to the antelope

Speed is the ratio of distance to time taken. It is given by:

Speed = distance / time

Let d represent the distance covered by the cheetah at time t, hence:

30 = d / t

t = d / 30

The antelope is 100 yards away, hence:

25 = (d - 100) / t

t = (d - 100)/25

d/30 = (d - 100)/25

25d = 30d - 3000

d = 600 yards

t = d/30 = 600/30 = 20 seconds

It takes 20 seconds for the cheetah to catch up to the antelope

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Answer:

250 raspberries

Step-by-step explanation:

So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250

Answer:

xd

Step-by-step explanation:

3X+4y=8

this is the graph that represents the solution

Answer:

<1 = 50

<2 = 130

Step-by-step explanation:

<1 and 130 are supplementary angles

<1 + 130 = 180

<1 =180-130

<1 = 50

130 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<2 = 130

Step-by-step explanation:

Well first we can say measure angle 2 equals 130° because they are S.s.int.ext angles, (same side interior angles and exterior). Or also corresponding

Now with measure angle 1, it is a supplementary angle

Let 1 stand for measure angle 1

[tex]130 + m1 = 180[/tex]

Subtract 130° from both sides

[tex]m1 = 50[/tex]

Answer:

93.684

Step-by-step explanation:

They just give a 5% bonus to the price of the lunch

Answer:

Its a

Step-by-step explanation:

Answer:

s = 250

a = 225

Step-by-step explanation:

Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]

Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]

By graphing, we can let s = y and a = x, so we have the following equations:

[tex]x + y=475\\y=x+25[/tex]

Plugging this into Desmos, we have this: (look at screenshot uploaded)

We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.

Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]

The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.

Answer:

Use the distributive property to multiply 2 by x−1.

l2x-2I=11

2x-2=-11

Add 2 to both sides of the equation.

2x=-9

Divide both sides by 2.

x=13/2

That's the final answer

Hope u have a great day!!

i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...

secθ+tanθ=P

⇒(secθ+tanθ)² = P²

⇒sec² θ+tan² θ+2tanθsecθ=P²

⇒2tan²θ + 1 + 2 sinθ/cos θ = P²

⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²

Applying componendo and dividendo

=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1

⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1

=> sinθ = p²-1/ p²+1

Answer:

Slope = -2

y-intercept = -18

Step-by-step explanation:

In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.

Hope this helps you :)

Answer:

19

Step-by-step explanation:

they give you xz, and they want half, so just divide 38 by 2

I believe it is a because I had a question just like that in 8th grade

Answer:

y = - 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5 , then

y = - 5x + c ← is the partial equation

To find c substitute (- 2, 6 ) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = - 5x - 4 ← equation of line

Step-by-step explanation:

35/48

this cannot be simplified any further

Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, she paid $984 monthly for 22 years, hence:

[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]

Interest rate of 3%, hence [tex]r = 0.03[/tex]

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]259776 = A(0)[1 + 0.03(22)][/tex]

[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]

[tex]A(0) = 156491.6[/tex]

The principal loan amount was of $156,491.6.

A similar problem is given at https://brainly.com/question/13176347

38

To get the number of games C won,you multiply the ratio of B:C,4:3 to ratio of known 8:x to get 6 as the games C won.For A,you multiply the ratio of A:B,3:1 to value of known y:8 to get 24 as the games A won.Add 8+6+24 to get total number of games won.

[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]