A rectangle has one side 3cm longer than the other. Write an expression for the area.​

Answer:

45 degrees

Step-by-step explanation:

Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.

Answer:

Step-by-step explanation:

W=2.5, L=x

A=LW=2.5x

P=2(L+W)=2(2.5+x)=5+2x

P=A

5+2x=2.5x

5-0.5x=0

-0.5x=-5

x=10

Answer:

option A real x is a number

Answer:

1 button.

Step-by-step explanation:

Total buttons = 40

Total red buttons = 6

Total Buttons removed =25

Buttons left = 40–25 = 15

Let the red buttons left = x

1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)

2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)

Comparing Statement 1.) & 2.) , We get

x/15 = 1/3

x = 5

So the red buttons left = 5

Total red buttons= 6

Red buttons removed = 6–5= 1

Hence, only 1 button was red in the 25 removed buttons

There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.

Probability is the measure of the likelihood of an event occurring.

Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.

[tex]p(A) = \frac{n(A)}{n(S)}[/tex]

p(A) is the probability of event A

n(A) is the number of outcomes with respect to A

n(S) is the total number of possible outcomes

Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.

So the total number of buttons in the bag = 40

It is given that 25 buttons are removed from the bag randomly

thus, the remaining buttons in the bag = 40 - 25 = 15

It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3

So, for finding the number of red buttons in the bag after removing we can write,

n(A) = p(A) × n(S)

here, A is the event of drawing the number of red buttons and p(A) = 1/3 and  n(s) = 15 (after removing)

Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5

So, the number of red buttons left in the bag = 5

then, the red buttons removed from the bag = 6 - 5 = 1

Therefore, only 1 red button is removed from the bag.

Learn more about probability here:

https://brainly.com/question/21278788

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Answer:

116400 I believe not 100% sure tho

The total number of turtles born is 40,000.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, only 3% of turtle hatchlings will live to become breeding adults.

The current number of breeding adults is 1,200

Let the total number of turtles born be t.

Now, 3% of t=1200

3/100 ×t=1200

3t=120000

t=40000

Therefore, the total number of turtles born is 40,000.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Answer:

0.39

Step-by-step explanation:

Height of triangle (h) = 2.5 + 4 = 6. 5 cm

Base of triangle (b) = 3 + 3 = 6 cm

Radius of circle (r) = 4 cm

Required probability = Area of triangle/Area of circle

[tex] = \frac{ \frac{1}{2} bh }{\pi {r}^{2} } \\ \\ = \frac{ \frac{1}{2} \times 6 \times 6.5 }{3.14 \times {4}^{2} } \\ \\ = \frac{3 \times 6.5}{3.14 \times 16} \\ \\ = \frac{19.5}{50.24} \\ \\ = 0.388136943 \\ \\ \approx0.39[/tex]

Answer:

188.4

Step-by-step explanation:

because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.

Answer:

area = length×wide=15.7×12=188.4ft²

Answer:

Option c - 67.5

Step-by-step explanation:

Base= 15

Height = 9

Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet

Answer:

G

Step-by-step explanation:

Answer:

(a+b)^2 if a©+2b

Step-by-step explanation:

i not sure

Answer:

16

Step-by-step explanation:

.

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

Answer:

y = 19/4

Step-by-step explanation:

replace x by 2

then 10 × 2 = 20

switch the 20 to the other side and subtract 20 from 1

it will be -19

and -4 will go to the other side as a divide and -

z

-19 / -4 = 19/4

Answer:

Step-by-step explanation:

Given:

m<Q = 76°

PQ = r = 18

QR = p = 27

Required:

Find P, T, and PR (q)

Solution:

✔️To find PR(q), apply the Law of Cosines.

Thus:

q² = r² + p² - 2rp×cos(Q)

Plug in the values

q² = 18² + 27² - 2×18×27×cos(76)

q² = 1,053 - 235.148

q² = 817.852

q = √817.852

q = 28.6 (nearest tenth)

✔️Find P by applying the Law of Sines:

[tex] \frac{sin(P)}{p} = \frac{sin(Q)}{q} [/tex]

Plug in the values

[tex] \frac{sin(P)}{27} = \frac{sin(76)}{28.6} [/tex]

[tex] sin(P) = \frac{sin(76)*27}{28.6} [/tex]

[tex] sin(P) = 0.9160 [/tex]

[tex] P = sin^{-1}(0.9160) [/tex]

P = 66.3° (nearest tenth)

✔️R = 180 - (P + Q)

R = 180 - (66.3 + 76)

R = 37.7°

Answer:

44,10

Step-by-step explanation:

I think this is the answer

Answer:

$44.10

Step-by-step explanation:

tip = 35 x .20 = 7.00

tax = 35 x .06 = 2.10

9.10 + 35.00 = 44.10

a+x+p+8 =r

(to solve isolate x)

x=r-(a+p+8)

x= r-a-p-8

Answer:

i) 68

ii) 87

iii) 124

iv) 81

Step-by-step explanation:

hope that helped :)

Answer:

Mr. Kellys class sold more fruit juice I think. I could be wrong but i am pretty sure that is the answer!

Step-by-step explanation:

Answer:

5/10, 1/2, 50% and 0.5 are all correct answers in different forms.

Step-by-step explanation:

5 of the balls are basketballs or soccer balls. This is 5/10 of the balls.

Answer:

14in

Step-by-step explanation:

basta ganun hirap nun

Answer:

f(2) is -2

Step-by-step explanation:

plug 2 in everywhere you see x

-2(2)^2-2(2)+10

-2(4)-4+10

-8-4+10

-2

hope this helped!

Answer:

3(x+5)≡3x +a

3x + 15≡ 3x +a ⇒ a=15

I hope you understood!

Answer:

3(x+5)=3x+a

3x+15=3x+a

a=3x-3x+15

a=+15 ........ans

Answer:

yes, he is correct

Step-by-step explanation:

Is this your question?

-7(4-1r) = 14

-28+7r=14

7r=32

r=32/7

Answer:

Writing a letter to a friend about my favorite subject.

Explanation:

ABC Apartments

New South Block

New Delhi

10 May, 2015

My dear friend Ankush,

How are you? I hope everything is going well and you are fine. I am also fine and doing okay.

I am writing to you in response to your last letter. You asked me which subject I love the most and unlike you, I am no math wizard. But I do love literature, so we are poles apart. All jokes aside, I love literature as it is a way for me to be transported to a whole different world and it gives me the space to enjoy. Just like you love math, I also love books, stories, and all the like. It is a form of escape for me and it has become more of an obsession than mere interest.

Anyway, books provide me a sense of being in my own world, where I can meet different people and be transported to different periods in history. This is my way of being involved and learning about the cultures of the world.

I hope I didn't make you bored. But as you used to say, we all have our likes and dislikes, but that's what makes us who we are.

Please come visit me whenever you have a holiday. Hoping to see you soon.

Take care.

Your best friend,

Rahul.

Answer:

[tex]160\ \text{s}[/tex]

Step-by-step explanation:

The inequality that represents the situation is

[tex]500-2.5t<100[/tex] where [tex]t[/tex] is the time in seconds

[tex]\Rightarrow -2.5t<100-500[/tex]

[tex]\Rightarrow -2.5t<-400[/tex]

[tex]\Rightarrow 2.5t>400[/tex]

[tex]\Rightarrow t>\dfrac{400}{2.5}[/tex]

[tex]\Rightarrow t>160\ \text{s}[/tex]

So, the time after which there will be less than 100 gallons of water is [tex]160\ \text{s}[/tex].

Answer:

that seem pretty hard but i think ik it

Answer:

c=34

Step-by-step explanation:

Use the Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

(16^2)+(30^2)=c^2

1156=c^2

[tex]\sqrt{1156}[/tex]=c

c=34