Final answer:
To find the combined capacity of the two water towers, you add their capacities together by summing the significant figures and keeping the exponent the same. The result is a combined water capacity of 17.13×105 gallons.
Explanation:
The question involves adding two large numbers that are expressed in scientific notation. To find the combined water capacity of the two water towers, we simply add the quantities together. The first tower holds 7.35×105 gallons, and the second tower holds 9.78×105 gallons.
To combine these:
Add the significant figures (the numbers before the exponent): 7.35 + 9.78.
Calculate this sum: 7.35 + 9.78 = 17.13.
Since both powers of ten are the same (105), you can keep the exponent as is.
Combine the significant figures with the exponent to get the final answer: 17.13×105 gallons.
This is the total combined water capacity of the two towers.
Can someone please help me on this one please? Thanks
168 students play at least one sport 35% of students at the school how many students are at the school
what is the value of z, rounded to the nearest tenth? use the law of sines to find the answer.
A) 2.7 units
B) 3.2 units
C) 4.5 units
D) 5.3 units
The value of z is 3.2 units.
What is the law of sines?
The law of sine or the sine law states that the proportion of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is additionally known as the sine rule.
For a triangle ABC the law of sine will be,
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
In triangle XYZ given here,
The law of sine can be written as,
[tex]\frac{x}{sinX} =\frac{y}{sinY} =\frac{z}{sinZ}[/tex]
here ∠Y and ∠Z is given so we write
[tex]\frac{y}{sinY} =\frac{z}{sinZ}[/tex]
y=2.6
∠Y=51°
∠Z=76°
sin51°≈0.78
sin76°≈0.97
[tex]\frac{y}{sinY} =\frac{z}{sinZ}[/tex]
[tex]2.6/0.78=z/0.97[/tex]
[tex]z=3.2 units[/tex]
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If ABC is similar to DEF, the sides of ABC must be congruent to the corresponding sides of DEF.
Answer:
Option B. False
Step-by-step explanation:
If triangle ABC is similar to DEF then for the similarity of these triangles all angles should be similar or same.
In addition to the angles their corresponding sides should be in the same ratio, in other words sides should be dilated by a scale factor.
Therefore the given statement is false.
Option B. False is the answer.
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.
Total amount of money Sabra spends on both clubs = 20.50 + 10m
Amount paid to join the cooking club = $8.50
Monthly payment at the cooking club = $6.25
Payment for m months at the cooking club = 6.25m
Total money paid at the cooking club = 8.50 + 6.25m
Amount paid to join the movie club = $12
Monthly payment at the movie club = $3.75
Payment for m months at the movie club = 3.75m
Total money paid at the movie club = 12 + 3.75m
Total amount of money Sabra spends on both clubs = Total money paid at the cooking club + Total money paid at the movie club
Total amount of money Sabra spends on both clubs = 8.50 + 6.25m + 12 + 3.75m
Total amount of money Sabra spends on both clubs = 20.50 + 10m
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The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline. How far can this car travel on 5 \dfrac125 2 1 5, start fraction, 1, divided by, 2, end fraction liters of gasoline?
Coral created a painting that was 4 1/3 ft long and 1 1/3 ft wide.
What was the area of Coral's painting?
Express your answer in simplest form.
A.
ft²
B.
ft²
C.
ft²
D.
ft²
How is the expression (3 + y) ⋅ 7 described by its factors and terms?
A: It has two factors and the factor (3 + y) has one term.
B: It has three factors and the factor (3 + y) has one term.
C: It has two factors and the factor (3 + y) has two terms.
D: It has three factors and the factor (3 + y) has two terms.
i will give you brainiest if right.
Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
First of all, there are two factors in the problem.
They are the 2 things being multiplied together. They are 7 and
(3 + y).
What is the factors?A divisor of an integer n also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
Second, there are two terms in the factor (3 + y).
Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
Therefore option C is correct.
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0.4 divided by -5/8 or -5/8xN=0.4 BUT LOOKING FOR N
Answer:
-0.64
Step-by-step explanation:
0.4 ÷ ([tex]-\frac{5}{8}[/tex]) = N
[tex]0.4 * -\frac{8}{5} [/tex] = N
N = -0.64
marta ha comprado una bicicleta que costaba 280 € pero le han hecho una rebaja del 15°/• cuanto ha pagado
What is the perimeter of AEB
Answer:
18.5 ft
Step-by-step explanation:
Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft
Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft
Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft
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15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 toddlers drink water with their lunch? (a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table model, that’s fine too!) and label the “part,” “whole,” and “percent.”
I don't quite remember how to do this check up
What is the rule of 5832,blank,648,216,72,blank,8
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Can someone please factor this out for me and explain how you do it? 9x^2+30xy+25y^2
The measure of angle QPR = ??? degrees
A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost per square inch?
The table shows some ingredients in lasagna. If you make three times the recipe how many cups of cheese are needed. Can you please help me this is my homework for tomorrow
what is the greatest amount of spinach she can buy
graph the linear equation find three points that solve the equation then plot on the graph -3y=-x-7
Answer: (-7,0) (2,3) (5,4)
Step-by-step explanation:
An airplane flying at an altitude of 31,000 feet when it begins its descent for landing. If the runway is 104 miles away, at what angle does the airplane descend?
Meghan has a beginning balance of $750 in her checking account. She writes a check for $150 and has a debit transaction of $135. What is her new balance?
estimate the quotient of 88.9 ÷ 15.1
88.9 is close to 9015.1 is close to 15The idea of an estimate is to do the math without a calculator. 90 / 15 is roughly 6.
There is something I should say that is critical. If you figure out the exact answer of 5.88, you are likely going to get it wrong. This question asks you to round before you do a division. That's what estimate means.
Answer:
My answer is a because the the actual answer is 5.88741721854 but you said round it and i did it to 6 so yeah there is my answer. brainliest please
Step-by-step explanation:
What is x- and y- intercept of -7x + 2y= 14
What is 27006 ÷ 42???
Write an equation to represent each function. Help with these two
43 + (x -7) =90 find the value of x
How to do a fraction paper
Canada is the king of the doughnut world, as it has more doughnut shops per capita than any other country in the world. Tim Hortons, the most popular doughnut joint in Canada, had 3660 locations in Canada in 2015. If the population of Canada was approximately 35.75 million citizens in 2015, what was the number of Tim Hortons stores per capita in Canada in 2015?
Express your answer in scientific notation rounded correctly to three decimal places.
Answer:
Number of Tim Hortons stores per capita is [tex]1.024\times 10^{-4}[/tex]
Step-by-step explanation:
Canada is having more doughnut shops per capita than any other country in the world means availability of Horton's store per person are more.
Number of Hortons stores in Canada = 3660
Population of Canada in 2015 = 35.75 million
In scientific notation population = [tex]35.75\times 10^{6}[/tex]
Now stores per person = [tex]\frac{3660}{35.75\times 10^{6}}[/tex]
(To calculate stores per capita we will divide number of stores by population of Canada)
Stores per capita = [tex]102.377\times 10^{-6}=1.024\times 10^{-4}[/tex]
So the answer is [tex]1.024\times 10^{-4}[/tex]