I'm in Algebra 1 and I need help with this, (show all working as well please)

Answer:

65°

Step-by-step explanation:

From the question,

The base angle of an isoceles triangle are equal.

Let the value of the base angles = x°

Sum of angle in a triangle = 180°

⇒ x°+x°+50° = 180°

⇒ 2x°+50° = 180°

⇒ 2x° = 180°-50°

⇒ 2x° = 130°

⇒ 2x°/2 = 130/2

⇒ x° = 65°.

Hence, the size of the other angles is 65°

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

24

Step-by-step explanation:

girls:boys = 4:2

12 = 6 x 2

so

girls = 6 x 4 = 24

and lets simplify to check

24:12 = 24/6:12/6 = 4:2

Answer:

10x+200[tex]\leq[/tex]375

Step-by-step explanation:

subtract 200 from both sides

10x[tex]\leq[/tex]175

divide both sides by 10

x[tex]\leq[/tex]17.5 cars

Jesse must wash atleast 17.5 cars to afford the bike.

Answer:

b = 1/3

Step-by-step explanation:

Here, we want to solve for the value of b

From the question, we have that;

4^(3b-3) = 1/16

4^(3b-3) = 16^-1

4^(3b-3) = 4^2(-1)

4^(3b-3) = 4^-2

Since base are equal, equate the powers

3b - 3 = -2

3b = -2 + 3

3b = 1

b = 1/3

Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Answer: See explanation

Step-by-step explanation:

We are going to solve this by using the Simple interest formula which is:

= Principal × Rate × Time

= 500 × 3% × 8/12

= 500 × 0.03 × 2/3

= 10

Therefore, the interest will be $10 ane the total amount that'll be paid back will be:= $500 + $10 = $510

9514 1404 393

Answer:

  $1,754.57

Step-by-step explanation:

If you put the amount in savings at the beginning of the year, then the balance after 7 years is ...

  A = P(1 +r)((1 +r)^7 -1)/r . . . . for payment P at annual rate r for 7 years

  15000 = P(1.05)(1.05^7 -1)/0.05 = 8.54911P

Then the amount P that needs to be saved is ...

  15000/8.54911 = P = 1754.57

You need to deposit $1,754.57 at the beginning of each year for 7 years to have a balance of $15,000 at the end of 7 years.

_____

If you wait until the end of the year to deposit the money, the amount will need to be 5% higher: $1,842.30.

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

Answer:

-5r+5

Step-by-step explanation:

-5+(-5r)+10

-5-5r+10

-5r-5+10

-5r+5

Answer:

-5r + 5

1. When there is a + in front of an expression in parenthesses, the expression remains the same.

2. Calcuate the sum

Answer:

4

Step-by-step explanation:

27+10(x)

15+13(x)

27+10(4)=67

15+10(4)=67

Answer:

3...?

Step-by-step explanation:

1+2=3

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

Answer:

1. Greatest Common Factor

2. Fraction

3. Simplest Form

Step-by-step explanation:

Answer:1.5

Step-by-step explanation:

8-(2^2+48)/8

8-32-6

8-38

-30

---

hope it helps

sorry if i'm wrong, I having a hard time processing things today

Answer:

m=7

9

Step-by-step explanation:

10-3

10-1 answer 7/9

Answer:

It's 48. Heres why:

Step-by-step explanation:

Our equation, I believe, is 4[(12-8) + 2³]. We can do the operations in the parenthesis:

4[(4)+8] (12-8 = 4, and 2³ is 8). If we add 4 + 8, we get 12. Multiply 12 by 4, we get 48.

Answer:

44 units² or 44 units squared

There really isn't a preference of units, like inches or meters, so you can add that in.

Step-by-step explanation:

Haha, this is what we're doing in class!

Okay, so the formula for a trapezoid is A= ½ (b1+b2) h

14= b1

8= b2

Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.

Here's some helpful notes:

I hope this was helpful!

Answer:

The answer is D) The car travels 53 mph(Miles Per Hours).

212/4 = 53

318/6 = 53

424/8 = 53

530/10 = 53

Step-by-step explanation:

Answer:

C)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= (change in y)/(change in x) .

rate  of  change=(212)/(4) .

rate of change =  53.

rate  of  change= (318)/(6).

rate of change =  53

rate of change =  (424)/(8).

rate of change =  53.

rate of change =  (530)/(10) .

rate of change =  53.

Therefore, C)  rate of change is 53, your car travels 53 miles every 1 hour .

Answer: D

Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!

Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

Answer:

the answer is :)

Step-by-step explanation:

Answer:

D because the triangle has to be congruent

Answer:

13x - 2

Step-by-step explanation:

7x - -6x = 7x + 6x = 13x.

-10 - -8 = -10 + 8 = -2

13x - 2

Answer:

13x - 2

Step-by-step explanation:

( 7x - 10 ) - ( -6x - 8 )

First, distribute the minus sign outside of the second parenthesis. Multiply each term within the second parenthesis by the minus sign.

( 7x - 10 ) + ( (-1)(-6x) + (-1)( -8))

Simplify,

( 7x - 10 ) + ( 6x + 8 )

Remove parenthesis,

7x - 10 + 6x + 8

Simplify, combine like terms,

7x - 10 + 6x + 8

13x - 2

Answer:

ok

Step-by-step explanation:

Answer:

alright lol

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

The SOH CAO TOA identity is used to determine the acute angles of a right triangles. The terminal point of ø is (-1,0), what is tan ø is 0

Given the terminal point (-1, 0), the value of tanø is expressed as:

tanø = opposite/adjacent

tanø = y/x

From the coordinate given:

x = -1

y = 0

Substitute

tanø = 0/-1
tanø  = 0

Hence the terminal point of ø is (-1,0), what is tan ø is 0

Learn more on terminal point here: https://brainly.com/question/1621860

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