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const2013 [10]
3 years ago
9

A pool was filled with 8.2 times 10 Superscript 3 gallons from one hose and 9.4 times 10 Superscript 3 gallons from another hose

.
What is the total amount of water in the pool? Express the answer in scientific notation.
1.76 times 10 Superscript 2 gallons
17.6 times 10 Superscript 2 gallons
17.6 times 10 Superscript 3 gallons
1.76 times 10 Superscript 4 gallons
Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

1.76 x 10⁴ gallons

Step-by-step explanation:

8.2 x 10³ + 9.4 x 10³ = 17.6 x 10³

Although correct 17.6 x 10³ is not in scientific notation

which is

1.76 x 10⁴ gallons

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What should I fill the blanks with?
Dmitriy789 [7]

Answer:

The three angles form a "linear triplet" ,  so their measures must add up to 180^o

Step-by-step explanation:

Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.

5 0
3 years ago
Read 2 more answers
What is 20% of 900 ?
dimulka [17.4K]

Answer:

180

Step-by-step explanation:

900/ 10= 90x 2= 180

haha very bad explaination but hope it helps <3

7 0
3 years ago
Read 2 more answers
Help ASAP please!!!!!!!!!​​
Katena32 [7]

Answer:

Δ JKL is similar to Δ ABC ⇒ D

Step-by-step explanation:

Similar triangles have equal angles in measures

In ΔABC

∵ m∠A = 15°

∵ m∠B = 120

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠B + m∠C = 180°

→ Substitute the measures of ∠A and ∠B

∵ 15 + 120 + m∠C = 180

→ Add the like terms in the left side

∴ 135 + m∠C = 180

→ Subtract 135 from both sides

∴ 135 - 135 + m∠C = 180 - 135

∴ m∠C = 45°

The similar Δ to ΔABC must have the same measures of angles

If triangles ABC and JKL are similar, then

m∠A must equal m∠J

m∠B must equal m∠K

m∠C must equal m∠L

∵ m∠J = 15°

∴ m∠A = m∠J

∵ m∠L = 45°

∴ m∠C = m∠L

∵ m∠J + m∠K + m∠L = 180°

→ Substitute the measures of ∠J and ∠L

∵ 15 + m∠K + 45 = 180

→ Add the like terms in the left side

∴ 60 + m∠K = 180

→ Subtract 60 from both sides

∴ 60 - 60 + m∠K = 180 - 60

∴ m∠K = 120°

∴ m∠B = m∠K

∴ Δ JKL is similar to Δ ABC

6 0
3 years ago
Select the correct answer from each drop-down menu.
finlep [7]

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be (x_2,y_2)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be (x,y)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of B=(x_2,y_2)=(10,-4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

4 0
3 years ago
Is my answer correct? It's a mean, median, and mode question.
Serjik [45]
A. Mean

Mean = Total / How many numbers there are

City A- Add all the numbers:

4 + 3.5 + 5 + 5.5 + 4 + 2 = 24

There are 6 numbers.

24 / 6 = 4

Mean = 4 for City A

City B- Mean:

Add all the numbers:

5 + 6 + 3.5 + 5.5 + 4 + 6 = 30

There are 6 numbers.

30 / 6 = 5

Mean = 5 for City B

B. MAD(Don't know this part)

C. Median

City A- Median:

There are 2 middle numbers.

They are 5 and 5.5

5 + 5.5 = 10.5

10.5 / 2 = 5.25

Median = 5.25 for City A

City B- Median:

The 2 middle numbers are 3.5 and 5.5

3.5 + 5.5 = 9

9 / 2 = 4.5

Median = 4.5 for City B.

Answers:

a. The mean for City A is 4. The median for City B is 5.
b. Don't know MAD
c. The median for City A is 5.25. The median for City B is 4.5

Hope this helped☺☺



5 0
3 years ago
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