Answer:
23
Step-by-step explanation:
I'll mark you brainiest ---- find the range of possible values for the third side of a triangle if given two side lengths. 9yd, 32yd
Answer:
The third side of the triangle must have a length between 23 yd and 41 yd.
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
5 divided by 2/7 in simplest form
Answer:
I believe it's \(\frac{35}{2}\)
Step-by-step explanation:
I hope this helps <3
Express In 32 - In 8 as a single natural logarithm.
In 4
In 24
In 256
Answer: In 4
Step-by-step explanation: 8*4=32
or
32;8=4
The simplified form for the expression ln 32 - ln 8 is ㏑ 4.
What is Natural Logarithms?Logarithms are generally inverse functions of the exponential functions. There are 2 main logarithms that we deal with. Logarithms with base 10 and logarithms with base \(e\).
Logarithms with base \(e\) is called Natural logarithms.
\(log_e\) = ㏑
Given expression is ㏑ 32 - ㏑ 8.
We have to know the rule for logarithms to solve this.
We have the division rule of logarithms which states that,
㏑ (a / b) = ㏑ a - ㏑ b
Here, a = 32 and b = 8.
㏑ 32 - ㏑ 8 can be written as,
㏑ 32 - ㏑ 8 = ㏑ (32 / 8)
= ㏑ 4
Hence the simplified form is ㏑ 4.
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Find the diameter of the object. A circular switch with a radius of 3/5 centimeters.
Answer:
1.2
Step-by-step explanation:
To find the diameter, you must multiply the radius by two
Need help ASAP explanation would be appreciated
a)Perimeter of given right angle triangle is 48.
Perimeter of dilated right angle triangle is 192.
b) Area of given figure is 96cm²
Area of figure after dilation is 1536cm².
Define dilation.Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Given,
Triangle given,
Base = 12
hypotenuse = 20
Leg = 16
Dimensions of new triangle after dilatated by scale factor of 4:
Base = 48
hypotenuse = 80
Leg = 64
Area of right angled triangle:
Base × Leg/2
Area of given figure:
12 × 16/2
12 × 8
96
Area of given figure is 96cm²
Area of figure after dilation:
48 × 64/2
24 × 64
1536
Area of figure after dilation is 1536cm².
Perimeter of right angle triangle:
Perimeter of given figure:
12 + 20 + 16
48
Perimeter of given right angle triangle is 48.
Perimeter of dilated figure:
48 + 80 + 64
192
Perimeter of dilated right angle triangle is 192.
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Eddie plays on a basketball team. In two games he scored 3/7 of the total number of points his team scored. His team scored 42 points in the first game and 28 points in the second game. What is the total number of points that Eddie scores?
Answer:
The answer is 70
Step-by-step explanation:
Add 42 and 28
70.
A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. Day of Week n x bar s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 Overall 313 104.56 34.25 Computer output from the analysis is provided: One-way ANOVA: Electricity versus Day of Week Source DF SS MS F P Day of Week 6 41646 6941 6.55 0.000 Error 306 324428 1060 Total 312 366073 What is the decision on the hypothesis test and why
Answer:
Since p-value > ∝, H0 is accepted
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic P-value
of Square Square
Groups 6 191.61 31.935 0.020 0.999
(b/w groups)
Error
(within 14 21736.08 1552.577
groups)
Total 20 21927.69 1096.385
1. H0 hypothesis
Since p-value > ∝, H0 is accepted.
Hence the averages of all groups considered to be equal.
Or the difference between the averages of all groups is not big enough to reject H0.
2. P-value
P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e (99.99%)
The bigger p-value supports H0.
3. The statistics
The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]
Describe and correct the error in writing the rational numbers as a decimal. -(5)/(-12)= -2.4
The value of the fraction (-5) ÷ (-1/2) is 10.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
In this case, the fraction is given as:
(-5)/(-12)
It should be noted that (-) divide by (-) is (+).
Therefore, (-5)/(-1/2)
= (-5) ÷ (-1/2)
= (-5) × (-2)
= 10
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What is the greatest common factor of 8,16,40
Step-by-step explanation:
To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.
Let's first find the prime factorization of each number:
- 8 = 2 * 2 * 2
- 16 = 2 * 2 * 2 * 2
- 40 = 2 * 2 * 2 * 5
Now, let's identify the common factors by finding the minimum exponent for each prime factor:
- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).
- 5 is not a common factor since it appears only in the prime factorization of 40.
The GCF is obtained by multiplying the common factors with their respective minimum exponents:
GCF = 2^2 = 4
Therefore, the greatest common factor of 8, 16, and 40 is 4.
find the exact value cos5pi/6
Answer:
\( - \frac{ \sqrt{3} }{2} \)
Step-by-step explanation:
Unit circle
La imagen muestra un envase cilíndrico que contiene ajustadamente tres pelotas
de tenis de aproximadamente 10 cm de diámetro cada una.
¿Cuál es el volumen del envase cilíndrico vacío?
El volumen del envase cilíndrico vacío es aproximadamente de 1570,80 centímetros cuadrados.
Dado que un envase cilíndrico contiene ajustadamente tres pelotas de tenis de aproximadamente 10 cm de diámetro cada una, para determinar cuál es el volumen del envase cilíndrico vacío se debe realizar el siguiente cálculo:
Volumen de una esfera: 4/3 x 3.14 x (diámetro/2)³Volumen del envase vacío = 3 x volumen de una esfera3 x (4/3 x 3.14 x (10/2)³) = X3 x 523.6 = X1570,8 = XPor lo tanto, el volumen del envase cilíndrico vacío es aproximadamente de 1570,80 centímetros cuadrados.
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Please help. Will mark Brainliest
Which statements go in boxes 2 and 3?
What is the proof for boxes 3 and 4?
-4(3x + 2y) + 6(-2x - 5y)
Answer:
-2(12x+19y) for factoring
-24x-38y for simplifying the expression
Step-by-step explanation:
Let me know if its something else or if u need help with
Answer:-24x-38y
Step-by-step explanation:
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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3. Write the ones digit in the square of each of the following numbers
a.13
b. 27
c.46
d.20
e.75
f.31
g.42
h.64
i.38
j.79
Answer:
a.9
b.9
c.6
d.0
e.5
f. 1
g.4
h.6
i.4
j.1
Jasper is a drummer in his school’s marching band. He carries a marching snare drum that has a radius of 7 inches and a height of 9 inches. What is the volume of his drum? Round your answer to the nearest hundredth.A. 63.00 inches cubedB. 1,384.74 inches cubedC. 441 inches cubedD. 197.82 inches cubed
Given: Jasper is a drummer in his school’s marching band. He carries a marching snare drum that has a radius of 7 inches and a height of 9 inches.
Required: Volume of the drum.
Explanation:
The drum is in the shape of a cylinder.
It has radius, r = 7 inches
and height, h = 9 inches.
Volume of cyliner, V is
\(V=\pi r^2h\)So, the volume of drum is
\(\begin{gathered} V=\pi(7^)^2(9) \\ V=\pi\times49\times9 \end{gathered}\)Take π = 3.14
So, the volume is
\(\begin{gathered} V=3.14\times49\times9 \\ V=1384.74 \end{gathered}\)So the volume is 1384.74 inches cubed.
Final Answer: Option B is correct answer.
-6 x 10^-1 divided by -3 x 10^-2?
Answer:
-6 x 10^-1 divided by -3 x 10^-2 = 0.002
Write 8 statements and reasons for the proof
Answer:
Step-by-step explanation:
The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.
Answer:
this? hope it helps ........
Answer:
The answer is area=32pi-64 and the perimeter is 8pi
Step-by-step explanation:
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
I just need help man
The error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.
What is the perimeter of a rectangle?The perimeter of a rectangle of dimensions l and w is given by:
P = 2l + 2w.
From the graph, the dimensions are given as follows:
l = 4 - (-1) = 4 + 1 = 5.w = 3 - 0 = 3.Hence the perimeter is:
P = 2l + 2w = 2(5) + 2(3) = 16 units.
The calculated length was of 4, hence the error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.
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Need help ASAP!! Will give Brainliest
Answer:
B
Step-by-step explanation:
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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Tyrone biked 45 miles at an average speed of 18 miles per hour, without stopping. About how long did the ride take him? Use the formula T=d_r division on the d and r
O 2.25 hours
O 3 hours
2.5 hours
O 2.75 hours
Answer:
2.25 long of riding a bicycle
Answer:
2.25
Step-by-step explanation:
Compute the (sample) variance and standard deviation of the data sample. (Round your answers to two decimal places.) −8, 2, 2, 4, 15 variance standard deviation
Answer:
Variance = 67.00Standard deviation ≈ 8.19Step-by-step explanation:
Before we can calculate the standard deviation of the dataset, we need to get the mean value first.
mean = sum of the values/total number given
mean = -8+2+2+4+15/5
mean = 15/5
mean (xbar) = 3
For ungrouped data:
Variance S²= ∑(xi-xbar)²/N-1
xi are the individual values
xbar is the mean value = 3
N is the total number in the dataset = 5
Variance = (-8-3)²+(2-3)²+(2-3)²+(4-3)²+(15-3)²/5-1
S² = (-11)²+(-1)²+(-1)²+(1)²+(12)²/4
S² = (121+1+1+1+144)/4
S² = 67
Hence the variance of data sample is 67.00
Standard deviation is the square root of the variance.
√S² = Standard deviation
√67 = Standard deviation
Standard deviation = 8.185
Standard deviation ≈ 8.19 (to 2 decimal place)
Can you guys help me out with this one too? Plzzzzz helppp
Answer:
I think that it would be A
Step-by-step explanation:
If it were not a sailor, I would say B, but a sailor can face a hurricane at sea.
Round the given number to the nearest tenth. 560.294
Answer:
560.3
hope it helps
At a carnival, Tony bought 6 packs of 16 tickets each. He has used 37 of the tickets so far. How many tickets does he have left?
Answer: 6*16 equals 96, 96 - 37 = 59, 59 is the answer