Answer:
3i square root 2
Step-by-step explanation:
Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°
Answer:
A) 50°, 65°, 65°
B) 45°, 50°, 85°
C) 20°, 60°, 100°
Step-by-step explanation:
To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).
A) 50° + 65° + 65° = 180° (Good!)
B) 45° + 50° + 85° = 180° (Good!)
C) 20° + 60° + 100° = 180° (Good!)
D) 30° + 60° + 70° = 160° (Bad!)
E) 20° + 45° + 120° = 185° (Bad!)
A tree trunk can be thought of as a cylinder with a height of 1.7 M if the tree trunk has a diameter of 60 cm what is its volume in metres cubed give your answer to 2 decimal place.
The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.
To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.
Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.
We also must square the radius. So 30 cm multiplied by itself equals 900 cm.
Radius: 900 / 100 = 9 m
We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).
Now we can plug these values into the formula for the volume of a cylinder.
π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters
Rounded to two decimal places is 48.07 cubic meters.
The volume of the tree trunk is about 48.07 cubic meters.
A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Step-by-step explanation:
In 8 gallons of gas the car can go = 400 miles
In 1 gallon of gas the car can go = 400/8
In 1 gallon of gas the car can go = 50 miles
How far can the car take you with 1 gallon of gas? With 1 gallon of gas, the car can go 50 miles.
Step by Step calculations:
We know that
With 8 gallons of gas, the car can go 400 miles
Then,
With 1 gallon of gas, the car can go
= 400 / 8
= 50 miles
Therefore, with 1 gallon of gas, the car can go 50 miles.
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3x-17=x+3 in form ax+b=c
Answer:
20/3 or 6.66
Step-by-step explanation:
3x-17=x+3 3x=20+x x=20/3+x 20/3 6.66---
Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!
(x + a)^2 + b form can be achieved by a method known as completing the square.
Step 1: Divide the b term by 2 and square it
8 / 2 = 4
4^2 = 16
Step 2: Add and subtract 16 from the expression
---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.
x^2 + 8x + 16 + 14 - 16
x^2 + 8x + 16 - 2
Step 3: Factor the perfect square trinomial
(x^2 + 8x + 16) - 2
(x + 4)(x + 4) - 2
(x + 4)^2 - 2
Answer: (x + 4)^2 - 2
Hope this helps! :)
Does (–2, –2) make the equation y = x true?
Answer:
Yes.
Step-by-step explanation:
According to the given co-ordinate.
(x,y) = (-2,-2)
i.e. x = -2, y = -2
So, We can say that x = y = -2.
Hence, the given co-ordinate makes the equation y = x true.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Find a pair of positive integers for and b in these questions
18 + 65 = 1865
23 + 7 = 2314
Answer:
a=100
b=1
Step-by-step explanation:
18a+65b=1865
23a+7b=2314
We need to make one of the variables equal to the other
So...
The LCM for 65 and 7 is 455
So multiply 7 with 18a+65b=1865
and Multiply 65 with 23a+7b=2314
7 times 18a+65b=1865 is 126a+455b=13055
65 times 23a+7b=2314 is 1495a+455b=150410
So Subtract 126a+455b=13055 and 1495a+455b=150410
So 1369a=137355
Divide:
Which is about 100 (The actual value is 100.3323594)
Thus a=100
Substitute:
b=1
Hope this helps!
(The answer is rounded)
24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?
Answer:
8% annual
Step-by-step explanation:
first find the rate of 1 year. 960/3 = 320.
then find what % of 4,000, 320 is.
8%
Three children each contributed toward a birthday present for their mother. The oldest contributed three times as much as the youngest, while the second oldest contributed 50 cents more than the youngest. If the present costs $10.50, how much did each contribute?
Answer:
Youngest child: $2
oldest child: $6
Second oldest: $2.50
Step-by-step explanation:
Youngest child= x
oldest child= 3x
Second oldest: .50+x
x+3x+.50+x=10.5
5x+.50=10.5
- .50= - .50
5x=10
divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.
The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.
Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Let the youngest sibling contribute the amount of x dollars
As per the given information,
3x + 0.50 x + x + x = 10.50
Apply the addition operation,
4.50x = 10.50
x = 10.50 / 6.50
Apply the division operation to get
x = 1.90
So the youngest sibling contributed = $1.90
The oldest contributed 1.90 × 3 = $5.27
And the second oldest contributed (1.50)1.90= $2.85
Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.
Learn more about Arithmetic operations here:
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Determine the intercepts of the line.
Step-by-step explanation:
The x-intercept is the value of x when y is 0
So you need to substitute:
0 = 4x + 7
-7 = 4x
-7/4 = x
(-7/4,0)
Similarly, the y-intercept is the value of y when x is 0
So:
y = 4x + 7
y = 4(0) + 7
y = 7
(0,7)
An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.
Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.
Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.
Which method describes an experiment?
Method B is an experiment because every car receives the additive.
Method A is an experiment because the additive is used with a new tank of gasoline.
Both methods are experiments because the additive is used in a new tank of gas in both methods.
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Answer:
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Hit brainliest if this was helpful :)
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
What is experiment?
An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.
What is mileage?
Mileage tells us how many number of miles travelled or covered.
According to questions, an auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.
In Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.
In Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.
Based on the questions, Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B does not report the mileage before fuel additive.
Hence, we can conclude that Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
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Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?
Answer:
10.75
Step-by-step explanation:
first step is to find how much adam paid for each towel
so, the equation used will be x/y=c
where x is total cost, y is number of products bought, and c equals individual cost (with discount)
we end up with 105/14= 7.5$ per towel.
and to close out, we add the given discount of 3.25 to the discounted price of 7.5
which brings the usual price per towel to 10.25
Answer:
Step-by-step explanation:
Answer this QUICK!!! 60 POINTS!!!!
Answer:
Step-by-step explanation:
top right
Answer:
Its C (upper right)
Step-by-step explanation:
Ready lesson 8 independent practice
Answer:
wdym???
Step-by-step explanation:
PLEASE HELP!! :( I will mark brainliest!
Answer:
14 give me that badge :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
14 faces
given a1 = -1 and a4 = -8 what is a10
Answer:
The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤
please help anybody hm
Answer:
its C
Step-by-step explanation:
im smart
The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?
Answer:
Not too sure, but maybe this is what you need.
(Students = S, Adults = A) So, Ax + Sy = 266?
Or
x10 + y7 = $266
Step-by-step explanation:
I think the second one is the most accurate one, ignore the first equation. T^T
Select the correct answer.
Simplify the following expression.
will give brainlyist
What is the quotient of 1 and 7 over 8 ÷ 3 over 8?
Answer:
5
Step-by-step explanation:
[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]
[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]
[tex]=\frac{15\times \:8}{8\times \:3}[/tex]
[tex]=\frac{15}{3}[/tex]
[tex]=5[/tex]
The quotient is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given that:}\\[/tex]
[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]
[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]
[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]
[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]
[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]
also read similar questions: Multiply. Write your answer as a fraction in simplest form...
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Work out the size of angle x.
Answer:
65°
Step-by-step explanation:
x=180°-40°-75°
x=65°
M is directly proportional to r³ when r=4, m=160.work out the value of r when m=20
Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)
Answer:
(4,2) and (2,-2)
Step-by-step explanation:
using m=y2-y1/x2-x1
m= -2-2/2-4=-4/-2
therefore,
m=2
In science class, the girl to boy ratio is 3 to 7.
If there are 50 students total in the class, how many are boys?
Answer:
There are 35 boys in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
[tex] \therefore [/tex]
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
how do you write 100 s a fraction, mixed number, or whole number
Please help! With steps included :)
Answer:
Top question: -7°
Bottom question : 18°
Step-by-step explanation:
Top question:
The base angles of am isosceles triangle are congruent:
x + 46 = 39 because the base angles of an isosceles triangle are congruent
x + 46° = 39°
x = -7°
Bottom question
The missing angle is 3x because the base angles are congruent
To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°
3x + 3x + 4x = 180°
10x = 180°
x = 18°
Sorry for the late post!
-Chetan K
Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286
Answer:
154
Step-by-step explanation:
42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.
Please like and thank, hope this helps.
The number of customers that would shop for children's shoes during an average month is 154.
Number of randomly selected customers = 120
Number of customers willing to shop for children's shoes = 42
42 is what percentage of 120?As we know that percentage is the value per hundred.
So, (42/120) *100 = 35%
So, 42 is 35% of 120.
This means that 35% of customers are willing to shop for children's shoes.
Average customers per month = 440
35% of 440 = (35*440)*100
35% of 440 =154
So, the number of customers that would shop for children's shoes
during an average month =154.
Therefore, the number of customers that would shop for children's shoes during an average month is 154.
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Which angle is the largest?
Answer:
the 4th choice
Step-by-step explanation:
hope this helps
MAy I get braineist pls????????
A car is 12 feet long. Levi makes a scale model of the car at 1:8 of its actual size. How long is the model
Answer:
1.5 feet
Step-by-step explanation:
Answer:
1.5 feet or 3/2 feet
Step-by-step explanation:
During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).