Answers
Answer:
The height is 5.6 units.
Step-by-step explanation:
The height can be calculated using this formula
[tex]h=\sqrt{a^2-\frac{b^2}{4} }[/tex]
Let [tex]a[/tex] be the base of the triangle along the horizontal.
Let [tex]b[/tex] be the side of the triangle.
In an isosceles triangle has 2 sides that are equal in length.
Numerical Evaluation
In this example we are given
[tex]a=6\\b=3\sqrt{2}[/tex]
Substituting our values into the equation gives us
[tex]h=\sqrt{6^2-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]
Lets solve for [tex]h[/tex].
Evaluate [tex]6^2[/tex].
[tex]h=\sqrt{36-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]
Apply the product rule to [tex]3\sqrt{2}[/tex].
[tex]h=\sqrt{36-\frac{3^2\sqrt{2}^2 }{4} }[/tex]
Evaluate [tex]3^2[/tex].
[tex]h=\sqrt{36-\frac{9\sqrt{2}^2 }{4} }[/tex]
Rewrite [tex]\sqrt{2}^2[/tex] as [tex]2[/tex].
[tex]h=\sqrt{36-\frac{9*2 }{4} }[/tex]
Evaluate [tex]9*2[/tex].
[tex]h=\sqrt{36-\frac{18 }{4} }[/tex]
Factor [tex]2[/tex] out of [tex]18[/tex] and [tex]2[/tex] out of [tex]4[/tex].
[tex]h=\sqrt{36-\frac{2(9) }{2(2)} }[/tex]
Cancel the common factor of [tex]2[/tex].
[tex]h=\sqrt{36-\frac{9 }{2} }[/tex]
To write [tex]36[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex].
[tex]h=\sqrt{36*\frac{2}{2} -\frac{9 }{2} }[/tex]
Combine the numerators over the common denominator.
[tex]h=\sqrt{\frac{36*2-9}{2}[/tex]
Multiply [tex]36[/tex] by [tex]2[/tex] then subtract [tex]9[/tex].
[tex]h=\sqrt{\frac{63}{2} }[/tex]
Evaluate [tex]\sqrt{\frac{63}{2} }[/tex].
[tex]h=5.6125[/tex]
Round to nearest tenth.
[tex]h=5.6[/tex]
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Related Questions
Find and interpret the marginal frequencies. Cell Phone Company A B Data Plan Limited 78 94 Unlimited 175 135 people have a limited data plan. people have an unlimited data plan. people use Company A. people use Company B. people were surveyed. Skip to navigation
Answers
Answer:
78
Step-by-step explanation:
78
Each student in your class must do 24 math problems on an assessment. There are 85 students on the team. How many problems will your teacher have to grade?
Answers
Answer:
2040
85 * 24 = 2,040
Step-by-step explanation:
Hope it helps! =D
Answer:
2040
Working out formula: 24 x 85 = 2040
Step-by-step explanation:
This is actually a simple question! Since there are 85 students on the team and they each have to complete 24 math problems in an assessment, this basically means you have to multply 85 by 24 which gives us 2040 questions in total that the teacher will have to grade!
help me with the true/false statement pls
Answers
Answer: False, True, True, True.
Step-by-step explanation:
A : False, if you place the same parallelogram back to its original place, it wont change its size.
B : True, if the two sides are parallel originally, then it will most likely be parallel for the final product.
C : True, you can move the parallelogram back to its original state, and the two sides are equal to the final product.
D : True, just like B, if the original is the same length, chances are that the final product will be equal.
(please comment if I got it wrong)
Answer:
false, true, true, true
20 points for whoever helps me
Answers
Answer:
7.5 cm
Step-by-step explanation:
P= a + b + c
23 mm = 2.3 cm
2 cm
3.2 cm
2 + 2.3+ 3.2= 7.5 cm
help me with this please ASAP!!
Answers
Suppose you have two bank accounts. In Account A you deposit $100. In Account B you deposit $300. Account A has a simple interest rate of 4.3%. Account B has a simple interest rate of 2.1%. One year later, you get a bank statement from each bank and one of the statements shows an incorrect amount of interest. The interest for Account A is $4.30. The interest for Account B is $630. Which account statement is incorrect? Find the bank's likely error.
Answers
The interest for Account B is likely incorrect.
The interest for Account A can be calculated as follows:
$100 * 4.3% = $4.30
The interest for Account B should be calculated as follows:
$300 * 2.1% = $6.30
Since the interest for Account B is much higher than it should be, the statement from that account is likely incorrect. The bank's likely error is overstating the interest earned on Account B.
Calculate the area of the annulus which has an external diameter of 25cm and an internal diameter of 15cm
Answers
Answer:
314.159 square cm
Step-by-step explanation:
Area of an annulus with external radius r1 and internal radius r2 is given by
π(r1² - r2²)
radius = half diameter
r1 = 25/2 = 12.5 cm
r2 = 15/2 = 7.5 cm
Area of annulus
= π(12.5² - 7.5²)
= 314.159 square cm
The correct answer is 314.159 square cm
Please help BTW I WILL MAKE FIRST PERSON TO ANSWER CORRECTLY
BRAINLIEST
Requirments:
Very simple explanation
Answer
No step by steps.
Rhank you
Answers
Answer:
160
Step-by-step explanation:
Answer: 160%
Step-by-step explanation:
We know that
85
is the same as
8÷5
Then using
Long Division for 8 divided by 5
gives us
1.6
Converting our number to a percentage:
1.6×100
=160%
Yesterday, 5% of the 120 sixth graders were late to school. How many sixth graders were late? Show your work or explain how you arrived at your answer.
Please keep it simple
Answers
Answer:
6
Step-by-step explanation:
1. 5% = 5/100 = 0.05
2. 0.05 x 120 = 6
WEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE.
In 9 hours Ali reads 63 chapters of a book. What is his rate in chapters per hour?
Answers
Answer: 7
Step-by-step explanation:
In 9 hours, Ali can read 63 chapters. To find how many chapters, on average, he can read per hour, we divide 63 by 9 to get 7.
This is how we put it as an equation:
[tex]9 hours = 63 chapters\\1 hour = \frac{63}{9} chapters \\1 hour = 7 chapters[/tex]
If you still have questions, please reply back, I will help you as much as I can :)
In triangle ABC, we have AB = 5, BC = 8, and AC = 7, as shown below:
Calculate:
cos(A), cos(B), cos(C)
Answers
Emily noticed that on halloween, her child got three basic types of candy: chocolate, gummy, and hard candy. She has 15 more hard candies that chocolate, and 5 less than twice the amount for gummy candy than chocolate. if she had a total of 178 pieces of candy, how many of each type did she get?
Answers
Answer: gotta scroll down sry
Step-by-step explanation:
First set up equations with variables that show the information you have:
c = chocolate // g = gummy // h = hard candy
178 = c + g + h
h = c + 15
g = 2c - 5
Then, solve all the equations for a number:
178 = c + g + h (leave as is)
15 = -c + h (subtract 'c' from the original equation's right side and switch the sides of the equation)
-5 = -2c + g (subtract '2c' from the original equation's right side and switch the side of the equation)
Then, line up all the variables and subtract the top equation by the lower two:
178 = c + g + h
15 = -c + 0g + h
-5 = -2c + g + 0h
---------------------------
168 = 4c + 0g + 0h >>>> 168 = 4c
Solve for 'c' and plug it into the other equations to find 'h' and 'g':
168/4 = 4c/4
42 = c
15 = -(42) + h -5 = -2(42) +g
57 = h 79 = g
Add all the numbers together to double-check:
42 + 57 + 79 = 178
chocolates = 42
gummies = 79
hard candies = 57
On a scavenger hunt, you find 16 out of 20 objects. Write "16 out of 20" as a fraction in simplest form, a decimal, and a percent.
Answers
Decimal: 0.8
Percentage:8
Hi there, here's your answer:
According to the question, we find 16 out of 20 objects.
To express this in a fraction at its simplest form,
We first write down the fraction.
[tex]\frac{16}{20}[/tex]
The HCF of 16 and 20 is 4.
On dividing the numerator and denominator by 4, we get: [tex]\frac{4}{5}[/tex]
To express [tex]\frac{4}{5}[/tex] as a decimal:
Observe the denominator. We know that 5×2 = 10
On multiplying the numerator and denominator by 2, we get [tex]\frac{8}{10}[/tex]
Which, in decimal form, is 0.8
To express [tex]\frac{16}{20}[/tex] as a percentage,
We simply multiply the fraction by 100.
[tex]\frac{16}{20}[/tex] × [tex]100[/tex] [tex]= 16[/tex] × [tex]5 = 80[/tex]%
Therefore, 16 out of 20 in percentage is written as 80%.
Hope it helps!
Question 5(Multiple Choice Worth 2 points)
(Rotations MC)
Use the graph to answer the question.
graph of polygon ABCD with vertices at 0 comma 0, 5 comma 2, 5 comma negative 5, 0 comma negative 3
Determine the coordinates of polygon A′B′C′D′ if polygon ABCD is rotated 270° counterclockwise.
A′(0, 0), B′(−2, 5), C′(5, 5), D′(3, 0)
A′(0, 0), B′(2, −5), C′(−5, −5), D′(−3, 0)
A′(0, 0), B′(−5, −2), C′(5, −5), D′(3, 0)
A′(0, 0), B′(−5, −2), C′(−5, 5), D′(0, 3)
Answers
Answer:
23
############################
Answer: The answer the second option
Step-by-step explanation:Because since 270 degrees counterclockwise is equal to 90 clockwise you would use the 90 formula and swap the x and y and add a negative to the x and if you do that with each on the second d option should match you answer exactly.
P.S Also, I know this is absolutely correct because I took the test and got a 100, and I hope this helps you in the future to understand a question similar to this without any help, you got this and I hope you have a wonderful day or night :)
help me on this question pls
Answers
Answer:
Therefore, it made 42 candles.
Step-by-step explanation:
Volume of cylinder = 3.14 * r² * h = 3.14 * 2² * 6 = 3.14 * 24 = 75.36 in³
It made = 3165.12 in³/75.36 in³ = 42
Three out of 5 students at Maria's school participate in a school club or sport. There are 475 students at marias school how many of them can be expected to participate in a school club or sport
Answers
So, the expected number of participating students is:
475 * (3/5) = 285.
Therefore, we can expect 285 students out of 475 to participate in a school club or sport.
Find the missing angles measurements pt. 2
1-5
(I point for each question)
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.
Answers
question 2: take 40 + 90 = 130, then subtract 180 - 130 = 50. x = 50 degrees
question 3: the ratio 4:4:10 can be converted to angles of a triangle, 45, 45, 90. this means that angles F and G will equal 45 degrees, and angle H will equal 90 degrees
question 4: this is finding the coterminal angle to get the answer. we know that angle 1 is 42 degrees, so we want to subtract 90 - 42 to get 48. coterminal angles in an example like this need to add up to 180 degrees. so we subtract 180-48 to get 132 degrees. angle 2 = 132 degrees
question 5: using what we did last problem, we can take angle 4 and find the coterminal angle which is 180-74=106 degrees. we can then add angles 2 and 3 together (106+43) which gives us 149 degrees. subtract 180-149= 31. angle 1= 31 degrees and angle 2= 106 degrees
The measure of <1 is 31 degree and measure of <2 is 106 degree.
What is Exterior angle Property?If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.
Given
m <4 = 74 and m<3 = 43
Using Exterior Angle Property
m<4 = m<3 + m<1
74 = 43 + m<1
m <1= 74-43
m <1= 31 degree
and, Using Angle Sum Property
<1+ <2 + <3 = 180
31 + <2 + 43 = 180
<2 = 106 degree
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HELP PLEASE Three cylinders have a height of 8 cm.... Find the volume of each cylinder. Round all answers to the nearest hundredth. Use 3.14 for pi.
Answers
Step-by-step explanation:
Just use the equation for volume of a cylinder
For cylinder 1
V=(3.14)r^2h
V=(3.14)1^2(8)
V=(3.14)(1)(8)
V=25.12 cm
For cylinder 2
V=(3.14)r^2(h)
V=(3.14)(2^2)(8)
V=(3.14)(4)(8)
V=100.48 cm
For cylinder 3
V=(3.14)r^2(h)
V=(3.14)(3^2)(8)
V=(3.14)(9)(8)
V=226.08cm
If your confused or have a question just ask
Hope this helped :)
Answer:
Step-by-step explanation:
The volume of the cylinder is calculated by multiplying the area of its base by its height. The height of the cylinder is 8 inches (the height of the cube through which it is being drilled). Therefore, its volume is πr2h = π * 3.752 * 12 = 168.75π in3.
There's one triangle satisfying angle BCA = 60 degree, AB = 12 and AC = 10 shown below:
The only possible value of BC is a, as shown above. What is a?
Answers
Answer:
13.3
Step-by-step explanation:
draw a line from A to be perpendicular to line BC
which will cut a into 2 parts. call it a1, & a2
so now you have 2 right angle triangle - left side one with an angle known 60°, which means the top angle after the separation is 30° & something else, we don't care that part.
any right angle triangle with 30-60-90 ° has a property of shorter side = 1/2 of the long side. so right away we know a1= 5. and the perpendicular line = 5√3. this property you should memorize.
now solve a2. look at the triangle on the right.
because we know the perpendicular line is 5√3, and long side =12
so (a2)² = 12² - (5√3)² =144-75 =69
so a2 = 8.3
so a = a1+a2 = 5+8.3 =13.3
Answer:a = 13.31
Step-by-step explanation:
Proportional or not?
Equation=_____
Answers
Knowing this, we’re able to use the equation -
y = 3x
Hopefully this made sense! If you have any questions, please ask. Have a great day!
y = 3x
Please help answer!!
Answers
Answer:
Solution = 24 mice
Step-by-step explanation:
The ratio of brown mice to white mice is 5:3 this means the number of brown to white mice has to double until there is 6 more brown mice than white mice.
For example:
5:3
10:6
15:9
15 + 9 = 24
Therefore, there are 24 mice at the store.
15+9=24
5:3
10:6
15:9
-3y=4x+24
find x and y intercept
Answers
Y Intercept = (0,-8)
Answer:
x-intercept: (-6,0)
y-intercept: (0,-8)
Step-by-step explanation:
The x-intercept is when y = 0.
The y-intercept is when x = 0.
Each intercept can be solved with substitution in the standard form equation.
Given the re-arranged standard form equation is
-3y = 4x + 24
With a standard form equation being in the form:
Ax + By = C.
-3y = 4x + 24 →
-3y – 24 = 4x + 24 – 24 →
-3y – 24 = 4x →
-3y + 3y – 24 = 4x + 3y →
-24 = 4x + 3y →
4x + 3y = -24
x-intercept:
given y = 0
4x + 3(0) = -24 →
4x = 24 →
4x / 4 = -24 / 4 →
x = -6 →
(-6, 0)
y-intercept:
given x = 0
4(0) + 3y = -24 →
3y = -24 →
3y / 3 = -24 / 3 →
y = -8 →
(0, -8)
Find the missing angles measurements pt. 2
6-10
(I point for each question)
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.
Answers
Answer:
Step-by-step explanation:
Angle 5: 55
Angle 6: 125
Angle 7: 55
Angle 8: 125
Hope this helps.
the value of the x and y for the given system of equations are 6, and -2 respectively.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, a system of equations
2x + 5y = 2
2x - 5y = 22
Adding both equations:
4x = 24
x = 6
From equation 1
2 * 6 + 5y = 2
5y = -10
y = -2
Therefore, the value of the x and y for the given system of equations are 6, and -2 respectively.
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need help realbadddddd.
Answers
Hi there, here's your answer:
[tex]\sqrt{30}[/tex] -> Real, Irrational Root
-26 -> Real, Rational, Integer
[tex]\sqrt{64}[/tex] = 8 -> Real, Rational Root, Whole Number
[tex]\frac{1}{4}[/tex] -> Real, Rational
0.36336333633336.... -> Real, Irrational Decimal
0.42424242... -> Real, Rational Decimal
[tex]\sqrt{-7}[/tex], or [tex]7i[/tex] -> Imaginary Number
Hope it helps!
Answer: I think you need to rationalise all the surds
Step-by-step explanation:
can you please tell me 33/55 as a decimal?
Answers
33/55 as a decimal is 0.6
Divide 33 by 55 to get 0.6
what do you think the deffinition of woman is ???
( Just something fun to see how people think of this. )
Answers
Answer:A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural women is sometimes used in certain phrases such as "women's rights" to denote female humans regardless of age.
Step-by-step explanation:
Answer:
An adult female human being.
1.Some whole numbers are not integers. true or false
2.Some integers are not irrational numbers. true or false
3.Some whole numbers are irrational numbers. true or false
4.All integers are whole numbers. true or false
Answers
1) False
2) False - All integers are not irrational numbers
3) False
4) True
or
Tanvi has bought 2 fish tanks for her office and 1
3
5
pounds of colorful stones for the bottom of the tanks. She splits the stones evenly between both tanks. How many pounds of stones does Tanvi put in each tank?
Answers
Answer: 1.25 pounds
Step-by-step explanation:
Wish it helped
help me on this pls thanks
Answers
Answer:
It costed $ 13,564.8 .
Step-by-step explanation:
radius = diameter/2 = 6/2 = 3 m
h = 5 m
volume = 3.14 * r² *h
= 3.14 * 3² * 5
= 3.14 * 45
= 141.3 m³
Concrete costed = $ 141.3 * 96 = $ 13,564.8
The Pythagorean Theorem and its Converse
1-5
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.
Answers
The radius of the base of the cone is √189 ft.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are. To calculate the distance between an observer and a location on the ground when the observer is looking down from a tower or structure. It is mostly utilized in the construction industry.
For question 5 :
Given a right-angle triangle that has a hypotenuse of 14 and a base is 9 cm.
From the Pythagorean theorem:
Hypotaneuse² = base² + height²
14² = 9² + height²
height² = 196 - 81
height² = 115
height = √115
For question 4:
The distance from the top of the cone to the edge is 15 feet. The height of the cone is 6 feet.
The radius of the cone = base pf right angle triangle
From the Pythagorean theorem:
Hypotaneuse² = base² + height²
15² = base² + 6²
225 - 36 = base²
base = √189
For question 3:
The distance from the plane to the airport is = 3.35 * 10,000ft
for Question 2:
the height of the television will be 15.65 inches
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