In 8 years, a girl will be 3 years older than twice her present age. How old is she now
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Answer:

a) 1.84m

b) 42.53°

Step-by-step explanation:

First, look though the diagram provided by the question.

And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia

To find the length of AD

[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]

[tex]AD=\frac{2}{sin 90} * sin 67[/tex]

AD= 1.84 m

Find the angle C

[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]

sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]

= 0.736

[tex]sin^{-1} (0.736)=47.39[/tex] degree

So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.

Same as the first question use the formula of sine rule and you will get the answer.

[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]

[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]

=0.676

=42.53°

So, the answer of the angle of CAD is 42.53°

Check the answer:

90°+47.39°+42.53°

=179.92°

=180°(rounded off)(Proved)

That is all from me. I hope you will understand my solution.

Answer: 0%

Step-by-step explanation:

There are 5 colors of jelly beans.

Kaz ate all the green beans, so now only 80% of the jelly beans remain.

Kaz ate half of the orange pieces so now only 70% of the jelly beans remain.

Then Kaz ate half of the remaining pieces, so only 35% of the beans remain.

Current numbers: 0% green, 5% orange, 10% red, yellow, blue

Then he eats red and yellow candies in equal proportions until only 15% of the beans remain.  This means that he ate 20% worth of red and yellow beans.  This means that he ate all of the red and yellow beans.

Thus, there are 0% red beans left.

Answer:

10,000,000,000

hopefully this helped :3

Answer:

C.10,000,000,000

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

5: 30 pm is 2.5 hours after 3 : 00 pm

Substitute x = 2.5 into the equation

y = - 6.2(2.5)² + 41.5(2.5) - 5.6

  = - 38.75 + 103.75 - 5.6

  = 59.4

The average number of cars is 59

Answer: -8/5

Step-by-step explanation:

I know this because -1 2/5 is -7/5 and 1 1/7 is 8/7. Multiply the numerator and denominator together and you get the answer

Hi! :)

Answer:

-1.6 or -1 3/5

Step-by-step explanation:

This is how I got -1 3/5

First we have to convert the mixed number into fractions.

Than you have to use the formula

(Top) -7 x 8

(Bottom) 5x7

And you will get -56/35

Now you have to convert-56/25 into mixed number

Which will be -1 3/5

So the answer is -1 3/5 or -1.6

Hope this helps!

By, BrainlyMember ^-^

I hope I am correct, brainliest would be great!

✨Good luck!✨

Answer:

2a). Y= 1. 3= x

2b). Y=4 x= 1

3).

Y= x²+3x-18

For -5

First difference

10

Second difference

-8

For -4

First difference

4

Second difference

-14

For -3

First difference

9-9= 0

Second difference

-18

For -2

First difference

-2

Second difference

-20

For -1

First difference

-2

Second difference

-20

For 0

First difference

0

Second difference

-18

The relation ia a quadratic relation because of the highest Power of x to be 2

Step-by-step explanation:

For

Y=- x+4. Y= 1

Y=x-2. 1= x-2

2y =2. 1+2= x

Y= 1. 3= x

For

Y= x+3. 1= x

Y= 3x+1. Y= 3+1

0= 2x-2. Y= 4

2= 2x

1= x

Y= x²+3x-18

For -5

First difference

25-15= 10

Second difference

10-18= -8

For -4

First difference

16-12= 4

Second difference

4-18= -14

For -3

First difference

9-9= 0

Second difference

0-18 = -18

For -2

First difference

4-6= -2

Second difference

-2-18= -20

For -1

First difference

1-3 = -2

Second difference

-2-18 = -20

For 0

First difference

0+0 = 0

Second difference

0 -18= -18

The relation ia a quadratic relation because of the highest Power of x to be 2

Answer:

1261.68

Step-by-step explanation:

1350 = the increased watch price= 107% of the original

1350= 1.07x

1261.68224299

Check:

7% of 1261.68224299 is 88.317757

1261.68224299 + 88.317757 = 1349.9 = 1350

Round:

1261.68224299  

To the penny= to the hundreth= 1261.68

|x| < 3 turns into -3 < x < 3

This says that x is between -3 and 3, but cannot equal either endpoint.

The graph will be a number line with open circles at -3 and 3. Then you shade in between those open circles.

It's the graph below vvv/ Have a good day! xx

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

[tex]\frac{16}{24} =\frac{12}{x}[/tex]

[tex]\frac{2}{3} =\frac{12}{x}[/tex]

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

Answer:

10 square units.

Step-by-step explanation:

It is given that triangle ABC has its vertices A, B, and C on the sides of a rectangle 4 units by 5 units.

Height of triangle = 4 units

Base of triangle = 5 units

We need to find the area of triangle.

Area of triangle [tex]=\dfrac{1}{2}\times base \times height[/tex]

Substitute base = 5 and height = 4 in the above formula.

Area of triangle [tex]=\dfrac{1}{2}\times 5\times 4[/tex]

Area of triangle [tex]=\dfrac{20}{2}[/tex]

Area of triangle [tex]=10[/tex]

Therefore, the area of triangle ABC is 10 square units.

Answer:

9

Step-by-step explanation:

Hey there! :)

Answer:

f(-2) = 2.

Step-by-step explanation:

To find f(-2), we simply need to look at the y value at x = -2.

At x = -2, the y value is equal to 2.

Therefore:

f(-2) = 2.

Answer: b)2

Step-by-step explanation:

Visually, when x = -2, y = 2

Answer:

106

Step-by-step explanation:

given: 5t + 76

If t = 6, we substitute t=6 into the equation and solve:

5t + 76

= 5(6) + 76

= 30 + 76

= 106

Hi there! Hopefully this helps!

---------------------------------------------------------------------------------------------------

Answer: 106.

First, we need to evaluate.

(Note: when a letter and a number are close to together [5t] it means to multiply)

So if "t" = 6 we rewrite the problem like this:

5(6) + 76.

5 x 6 = 30.

Now we rewrite the problem again.

30 + 76 = 106.

Answer:

108

Step-by-step explanation:

Add the sides of the triangle

5+3+4 = 12 then look for the height

which is 9

12*9 is 108

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

Answer:

A

Step-by-step explanation:

Diameter = 32 in

r = 32/2 = 16 in

Surface area of sphere = 4πr²

                                      = 4 * 3.142 * 16 * 16

                                      = 3217.408

                                      = 3217 in²

Answer:

Solution,

Diameter (d)= 32 in

Radius (r)= 32/2= 16 in

Surface area of sphere:

[tex]4\pi {r}^{2} \\ = 4 \times \pi \times {(16)}^{2} \\ = 4 \times \pi \times 256 \\ = 1024\pi \\ = 1024 \times 3.142 \\ = 3217.108 \: {in}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Complementary means they add up to 90, so you want 2 angles that add up to 90...so what do you mean for 93? Are you talking supplementary,(add to 180), because that would be 87.

Answer: no complement

Explanation: To find the complement of a 93 degree angle, we take 90 minus the measure of the angle which in this case is 90° - 93°.

Notice that this gives us a negative angle measure

and since we can't have a negative angle,

we say that the given angle has no complement.

Watch out for negative answers to geometry problems.

Since we're usually talking about angle measures

or segment lengths, negatives will not work.

Answer:

2070

Step-by-step explanation:

Multiply 230 people by 9 ferries, if each ferry is used once.

Answer:

Step-by-step explanation:

The no of different ways in which these restaurants can be visited

= ¹⁵P₁₅

= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 1.30 x 10¹²

b ) Each combination takes 1 week and 50 weeks in  a year to work

No of years to take to try all the combination

= 1.30 x 10¹² / 50

= 2.615 x 10¹⁰ years .

Answer:

7t^2 + 3t + 6

Step-by-step explanation:

The computation of the expression is shown below:

The function describes the manufacturing cost of product A.

a(t) = 5t + 2

Likewise for product B, the manufacturing cost function is

b(t) = 7t^2 - 2t + 4

So if we combined these two, the equation would be presented below

= a(t) + b(t)

= 5t + 2 + 7t^2 - 2t + 4

= 7t^2 + 3t + 6

Hence, the correct option is D

Answer:

the answer is 5.

given, 2c-7c+8=-17

or, -5c=-17-5

or, c=-25/-5

therefore the value of c is 5...

Step-by-step explanation:

[tex]2c -7c +8 =-17\\Collect- like- terms\\2c-7c=-17-8\\Simplify\\-5c = -25\\Divide-both-sides-of-the-equation-by -5\\\frac{-5c}{-5} = \frac{-25}{-5} \\\\c = 5[/tex]

Answer:

  x = 125°

Step-by-step explanation:

The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...

 (180°)(6 -2) = 720°

We can use this to find x.

  x +117° +124° +102° +145° +107° = 720°

  x = 720° -595°

  x = 125°

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

Answer:

A. Inside the Circle

Step-by-step explanation:

If you graph the circle, you should be able to see that when x = 6, y =1.414, so (6, 1) would lie inside the circle.

Answer:

Step-by-step explanation:

we khow that the height of the cylinder is 32 inches

divide it by 2 to get the radius 32/2= 16

let V be the volume :

The volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.

If the height of the cylinder is 32 inches.

The height of the cylinder and sphere are same.

Then the radius of the sphere will be

r = 32 / 2

r = 16 inches

Then the volume of the sphere will be

V = 4/3 π(16)³ cubic units

V = 5461.3 π cubic inches

Then the correct option is D.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ2

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~

Expanded form of  (5a/3 -2b/5)^3 =

[tex]\frac{125a^3}{27} - \frac{10a^2b}{3} + \frac{4ab^2}{5} - \frac{8b^3}{125}[/tex]

Step-by-step explanation: You have to Simplify the expression.

Hope this helped you. Brainliest would be nice!

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Answer:

hope its helpful to uh.......