Answers
Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
Related Questions
A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
Answers
The area of the triangle is 608 cm².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the triangle, we use the formula below.
Formula:
A = bh/2............................ Equation 1Where:
A = Area of the triangleb = Base of the triangleh = Height of the triangleFrom the question,
Given:
b = 2ac²If
a = 4, c = 2b = (2×4×2²) = 32 cmh = (32+6) = 38 cmSubstitute these values into equation 1
A = (32×38)/2A = 608 cm²Hence, the area is 608 cm².
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Rewrite as a simplified fraction. 3.16 (6 is repeating)
Answers
0.16 (with 6 repeating) = 1/6
3.16 = 3 1/6
Mixed Number = 3 1/6
Improper Fraction = 19/6
Hope this helps!
Answer:
3 4/25
Step-by-step explanation:
[tex]\frac{3.16}{1} \cdot \frac{100}{100} = \frac{316}{100}[/tex]
[tex]\frac{316 \div 4}{100 \div 4} = \frac{79}{25}[/tex]
[tex]= 3\frac{4}{25}[/tex]
find the vertical height of a cone if the radius is 4 cm and the curved surface area is 60 cm
Answers
Answer:
2.65 cm
Step-by-step explanation:
Applied Formula :
Curved Surface Area = πrlSolving :
60 = 3.14 x 4 x ll x 12.56 = 60l = 4.8 cmh² = l² - r²h² = (4.8)² - (4)²h = √23.04 - 16h = √7.04h = 2.65 cm22+6[(14-5)÷3(17-14)]
I got 76 and every calculator I use says 76 but in the back of the book it says the answer is 28. Am I missing something or could it be a typo?
My work:
22+6[(14-5)÷3(17-14)]
22+6[(9)÷3(3)]
22+6 [(3)(3)]
22+6(9)
22+54 = 76
Answers
The simplification of the expression is 28. The mistake in your calculation occurred in step 3.
What is the process involved in simplifying expression involving brackets?TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).
This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.
Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]
solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]
= 22 + 6[(9) ÷9]
The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.= 22 + 6[(9) ÷9]
= 22 + 6[ 1]
= 22 + 6
= 28
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- 34+(- 23) please fast
Answers
Answer:
The answer to this question is -11
nich
2. What quantity should be added to both sides of
this equation to complete the square?
x² - 8x = 5
Answers
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex]~~~~~~x^2 -8x = 5 \\\\\implies x^2 -2\cdot 4 \cdot x+ 4^2 = 5+ 4^2~~~~~~~~~~~~;[\text{Add}~ 4^2 = 16 ~ \text{to both sides }]\\\\\implies (x-4)^2 = 21[/tex]
sectors of circle. east points, this is due tomorrow help is appreciated
Answers
The big arc is 2.09 centimeters longer than the small arc.
How much longer is the big arc than the small arc?For a circle of radius R, if we define an arc with an angle θ, the length of that arc will be:
L = (θ/360°)*2πR
Where π = 3.14
in this case, for both arcs, we have θ = 120°.
For the smaller arc, the radius is R = 5cm, so we get:
L = (120°/360°)*2*3.14*5cm = 10.47 cm
For the larger arc, the radius is R = 5cm, so we get:
L' = (120°/360°)*2*3.14*6cm = 12.56 cm
Then we can see that:
L' - L = 12.56 cm - 10.47 cm = 2.09 cm
So the largest arc is 2.09 centimeters longer than the smaller arc.
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Make a table to help solve this problem. Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names. Mao and Cory visited cities whose names start with an S. Who visited Pittsburgh?
Answers
From the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.
What is reasoning?When making a choice or addressing an issue, reasoning is the ability to appraise things rationally by using logic based on new or existing information.
We have:
Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names.
Mao and Cory visited cities whose names start with an S.
The table can be make to show the information provided:
Cory - city with 2 words
Molly - city with 2 words
Mao - starting with an s
Cory - starting with an s
cities are : Seattle, Santa Clara,Pittsburgh,Des Moines
The table is:
Name City name
Cory Santa Clare
Molly Des Moines
Mao Seattle
Srey Pittsburgh
Thus, from the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.
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Write down the first three and last two terms of the binomial expansion of:
a) (3x+(2/x))^15
b) (2x-(3/x))^20
Answers
Answer:
a) [tex](3x)^{15} + 15(3x)^{14}(\frac{2}{x}) + 105(3x)^{13}(\frac{2}{x})^2 + ... + 15(3x)(\frac{2}{x})^{14} + (\frac{2}{x})^{15}[/tex]
b) [tex](2x)^{20} + 20(2x)^{19}(-\frac{3}{x}) + 190(2x)^{18}(-\frac{3}{x})^2 + ... + 20(2x)(-\frac{3}{x})^{19} + (-\frac{3}{x})^{20}[/tex]
Step-by-step explanation:
The binomial expansion formula is:
[tex](a + b)^n = a^n + \binom{n}{1}a^{n-1} b + \binom{n}{2}a^{n-2}b^2 + ... + \binom{n}{r}a^{n-r}b^{r} + ... + b^n[/tex]
The (n r) in front of each term is the binomial coefficient. This can be calculated on a calculator using the nCr button (in this case, you'd put 15C1 for (n 1), 15C2 for (n 2), etc). This can be calculated without a calculator using this formula:
[tex]\binom{n}{r} = \frac{{n!}}{{r!\left( {n - r} \right)!}}[/tex]
In a), a = 3x, b = 2/x and n = 15.
You can plug these into the formula above to get:
[tex](3x)^{15} + 15(3x)^{14}(\frac{2}{x}) + 105(3x)^{13}(\frac{2}{x})^2 + ... + 15(3x)(\frac{2}{x})^{14} + (\frac{2}{x})^{15}[/tex]
Here's how to do this without the formula:
Start with the a^nIn the second term, you subtract 1 from a's power (in this case, 15 to 14) and add 1 to b's power (0 to 1). Then you multiply it by nCr.This keeps going until you get to b^n. To check you've done it correctly, the powers of a and b in each term should add up to n. For example, in term 3 above, a's power is 13 and b's power is 2. These add to make 15.Remember, a's power goes down by 1 each time, and b's power goes up by 1 each time. There is no b in the first term because b^0 = 1.You could 'simplify' this by expanding the brackets, but this gives you massive numbers so it's probably best to leave it like this.
Applying this to b):
a = 2x, b = -3/x, n = 20
[tex](2x)^{20} + 20(2x)^{19}(-\frac{3}{x}) + 190(2x)^{18}(-\frac{3}{x})^2 + ... + 20(2x)(-\frac{3}{x})^{19} + (-\frac{3}{x})^{20}[/tex]
need help with this ASAP: methods for solving right triangles.
Answers
Explanation:
1) sin(37º)=x/10.3————>trigonometric ratio (sine)
2)7²+10²=c²—————-> pythagorean theorem
3) using sine—————> sin(51º)=9/x
using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)
4)using pythagorean theorem————> 6²+7²=c²
angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4
Answers:
1)x= 6.2
2)x= 12.2
3)x= 11.6 (rounded)
4)x= 9.2
credit to genan for question 3 and 4
ur welcome :)
correct me if im wrong
brainliest please?
Look at the dot plots below. Compare the shapes of the distributions of the results from the two experiments.
Answers
The shape of experiment 1 is roughly bell shaped. This indicates that it is normally distributed. The shape of experiment 2 is asymmetrical. This indicates that it is not normally distributed.
What is a dot plot?
A dot plot is a graph that is used to represent the frequency of a data set using dots. The dots represents the frequency of a number. The results from experiment 1 is more spread out over the numbers compared to experiment 2 which is concentrated around the center.
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did I solve this problem right?
Answers
Step-by-step explanation:
¿qué es eso?¿es esto importante? :)
please help me
i need this for my homework
Answers
Answer:
As ΔABC is an isosceles triangle:
⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)
⇒ ∠BAC = ∠BCA = 55°
⇒ ∠BCA = ∠BAD = 55°
Angles on a straight line sum to 180°
⇒ ∠ADE + ∠EDC = 180°
⇒ 98° + ∠EDC = 180°
⇒ ∠EDC = 82°
As BE intersects AC, the vertically opposite angles are equal:
⇒ ∠BDC = ∠ADE = 98°
⇒ ∠ADB = ∠EDC = 82°
Interior angles in a triangle sum to 180°
⇒ ∠BAD + ∠ADB + ∠ABD = 180°
⇒ 55° + 82° + ∠ABD= 180°
⇒ ∠ABD = 180° - 55° - 82°
⇒ ∠ABD = 43°
Answer:
∠ABD = 43°
Step-by-step explanation:
Let's solve !
⇒ ∠BAC = ∠BCA = 55° (Angles opposing equal sides)
⇒ ∠BDA = 180° - 98° (Linear pair)
⇒ ∠BDA = 82°
⇒ ∠BAC + ∠BDA + ∠ABD = 180° (Angle Sum Property)
⇒ ∠ABD + 82° + 55° = 180°
⇒ ∠ABD + 137° = 180°
⇒ ∠ABD = 43°
During a math game, a team kept track of their answers. The following diagram describes the number of answers they got right to the number they got wrong
Answers
the amount of wrong answers is 2
so that would give us a ratio of 2:10
we can simplify this answer
this gives us 1:5
1 being wrong and 5 being right
flip these and the answer is
5:1
A soccer player stands at a point that is modeled by (0, 0) on the coordinate plane.
he then kicks a soccer ball that is modeled by a quadratic equation.
select all key features that help determine the vertical height that the soccer ball
traveled from when it left the ground to when it reached its maximum height.
- y-intercept
- zeros
- vertex
- end behavior
Answers
Answer:
the answer to the question above would be the option 3 (vertex)
what is a good approximating for 4pi^3
Answers
Answer: 123.84
Step-by-step explanation: You can set pi as 3.14. Then, you get 123.836576. Round to the nearest hundredth to get 123.84.
5. Find the value of the 11th term of the arithmetic sequence
-2, 5, 12, 19, 26, ...(11th term)
Answers
Answer:
-2, 5, 12, 19, 26, 33, 40, 47, 54, 61, 68, 75, 82, 89, 96, 103
1/4 of the players on every team are girls. Write 3 fractions equivalent to 1/4
Answers
Answer:
2/8, 3/12 and 4/16
Step-by-step explaination:
All these fractions are equivalent to 1/4 as the numerator is a multiple of 1, the denominator is a multiple of 4, and the numerators are all a quarter of their respective denominators.
Suppose you have the following null and alternative hypothesis
Answers
A type I error takes place if a given null hypothesis is rejected but is said to be true in the population such as the forecast shows it is snowing outside but actually it is isn't.
What is type 11 error?A type II error is known to be a statistical term that tells the error that takes place when one fails not to accept a null hypothesis that is said to be really false. A type II error create a false negative.
It known is known also as an error of omission. Example is the forecast shows that It is not snowing but it is actually snowing.Note that:
Type I error is false positive.Type II error is false negative.The power of the test shows that:
The Power is the likelihood of rejecting the null hypothesis even if it is false.Power is the likelihood of making the right decision that is to reject the null hypothesis even if the null hypothesis is false.Power is the likelihood of not making a Type II error and others.See full question below
Suppose you have the following null and alternative hypothesis:
H o: it is snowing.
H a: It is not snowing
(A) in the context of this problem, describe a Type-1 error
(B) Describe Type II error
(C)Describe power of the test
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Which table represents a function?
Answers
Answer:
The one on the top left
Step-by-step explanation:
What makes a function, a function is that the x coordinate (x,y), cannot be repeated in the tables. The y coordinate can though.
Q1.Simplify:
(I) {1³+2³}×(1/3) ²
(II) {5^-1×4^-1}²
(III) {(1/3) ^-1×(1/2)^-2}÷(1/4) ^-3
Give correct answer I will mark as brianlist. It wrong will deleated.
Answers
[tex]\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\[/tex]
[tex]\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\[/tex]
[tex]\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625[/tex]
A runner runs a distance of 350 metres in a time of 50 seconds.
What is his average speed?
Answers
Answer:
7
Step-by-step explanation:
350÷50=7
................
Please HELP!! Need to finish before the end of the day!
Answers
Answer & Step-by-step explanation:
I have attached two ways you can find the number of green Jolos, by adding and/or subtracting from the other known values. Both ways will give the answer of C. 280 Jolos
What is the measure of USQ⌢
Answers
Explanation: Arc URS is a semi-circle, equaling to 180.
Angle UPT is 47, vertical to Angle QPR.
So just add 180 + 47. = 227
The quadrilaterals JKLM and PQRS are similar.
Find the length x of QR.
K
Q
7
M
2
Z
3.6
S
1.8
A
X
3.6
R
Answers
Answer:
x = 6.3
Step-by-step explanation:
since the quadrilaterals are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{QR}{KL}[/tex] = [tex]\frac{RS}{LM}[/tex] ( substitute values )
[tex]\frac{x}{7}[/tex] = [tex]\frac{3.6}{4}[/tex] ( cross- multiply )
4x = 7 × 3.6 = 35.2 ( divide both sides by 4 )
x = 6.3
write an equation to estimate the difference of 18/20 - 5/8
Answers
Answer:
0.275
Step-by-step explanation:
could someone please help will give brainliest
Answers
Answer:
A - x = 4
Step-by-step explanation:
According to The Midsegment Trapezoid Theorem the length of the midsegment is the sum of both bases divided by 2.
So to find the value of x:
x + 3 + 4x 7 = 15*2 add like terms
5x + 10 = 30 subtract 10 from both sides
5x = 20 divide both sides by 5
x = 4
Mark is a professional race car driver. He has competed in 15 races and won 40% of them. How many races has Mark won?
3 races
6 races
9 races
37 races
Answers
Answer:
6 races
Step-by-step explanation:
If he won 40% of the races he competed in, and he raced 15 times, this means that he won roughly 4/10 races.
4/10= ?/15
cross multiply 4 and 15 = 60
60/10 = 6
He won 6 races
Give brainliest please!
hope this helps :)
Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?
O (-4, 11 1/3)
O (3, -2 1/3)
O (6, -2)
O (12, -14)
Answers
The coordinate of the point is (6,-2)
How to determine the coordinate of the point?The given parameters are:
A = (1,8)
B = (7,-4)
The location of the point (i.e 5/6) means that the ratio is:
m :n = 5 : (6 - 5)
m : n = 5 : 1
The coordinate of the point is then calculated as:
[tex](x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex](x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)[/tex]
Evaluate
[tex](x,y) = \frac{1}{6}* (36 , -12)[/tex]
Evaluate the product
(x,y) = (6,-2)
Hence, the coordinate of the point is (6,-2)
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fractions and decimals
T_T
Answers
1. 0.0563
2. 0.05
3. 0.008
4. 0.6
5. eight tenths
6. six tenths three hundredths
7. eight five thousandth
8. six hundredths