Let ZD be an acute angle such that cos D = 0.64. Use a calculator to approximate the measure of ZD to the nearest tenthof a degree.m/D
Answers
Given:
[tex]\cos D=0.64[/tex]D is an acute angle
Find-:
The value of D
Explanation-:
The angle D is:
[tex]\begin{gathered} \cos D=0.64 \\ \\ D=\cos^{-1}(0.64) \\ \\ D=50.208 \end{gathered}[/tex]The value of the nearest tenth is 50.2
Related Questions
Select the correct answer. Choose the number sentence that illustrates the distributive property of multiplication over addition. 6 × (5 + 8) = (6 × 5) + 8 6 × (5 + 8) = (6 + 5) × (6 + 8) 6 × (5 + 8) = (6 × 5) + (6 × 8)
Answers
The numeric sentence (A) 6 × (5 + 8) = (6 × 5) + 8 represents the distributive property of multiplication.
What is the distributive property of multiplication?The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. According to the distributive property of multiplication, the first number can be distributed among both of the other numbers and multiplied by each of them independently before adding the results to produce the same outcome as multiplying the first number by the sum.So, the distributive property of multiplication:
a × (b + c) = (a + b) × cSo, in the given options, only option (A) is similar to the distributive property of multiplication.
Therefore, the numeric sentence (A) 6 × (5 + 8) = (6 × 5) + 8 represents the distributive property of multiplication.
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Correct question:
Select the correct answer. Choose the number sentence that illustrates the distributive property of multiplication over addition.
(A) 6 × (5 + 8) = (6 × 5) + 8
(B) 6 × (5 + 8) = (6 + 5) × (6 + 8)
(C) 6 × (5 + 8) = (6 × 5) + (6 × 8)
prime or composite
number 1
67
Answers
Answer:
167 is a prime number. However, if you're looking for if 1 or 67 is prime or composite, 1 is neither prime nor composite, and 67 is also prime.
Step-by-step explanation:
To find if a number is prime, you check if the only factors of the number are 1 and itself. If a number has more than two factors, it is composite. The only exception to this rule is if the number is 1 or 0, then it will be neither prime nor composite.
Hope this helps, please give brainliest
The first two steps to solve the equation 3x2−7=47+7xare shown below:Step 1: 3x2−7x−7−47=0Step 2: 21x2−49x−49−4=0Which property is applied in step 1 to obtain step 2?Adivision property of equalitydivision property of equalityBaddition property of equalityaddition property of equalityCmultiplication property of equalitymultiplication property of equalityDsubtraction property of equality
Answers
Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6.4x2- 6x2 + 12- 4x2- 6x2 - 12
Answers
Given the functions:
[tex]\begin{gathered} f(x)=-5x^2+6 \\ g(x)=x^2-6 \end{gathered}[/tex][tex]\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(-5x^2+6)+(x^2-6)=-5x^2+x^2+6-6 \\ (f+g)(x)=-4x^2+0=-4x^2 \end{gathered}[/tex]The answer is: C. -4x^2.
What is the solution to the equation 7x−4=3x−8 , given the replacement set {−3, −1, 1} ?
A. -3
B. -1
C. 1
D. I don't know
Please answer fast!
I will give 85 points to whoever answers this question first, and I will also give whoever answers first brainliest.
Answers
Answer: B
Step-by-step explanation:
7x-4=3x-8
Combine like terms
7x-3x=4-8
Simplify
4x=-4
Divide
x=-1
The probability that an employee will be late to work at a large corporation is 0.21. What is the probability on a given day that in a department of 5 employees at least 3 are late ?
Answers
Given:
Number of employees are 5.
Probability that an employee will be late to work at a large corporation is 0.21.
The given data follows binomial distribution,
[tex]\begin{gathered} X\text{ \textasciitilde{}B(n,p,q)} \\ n=5 \\ p=0.21 \\ q=1-p=1-0.21=0.79 \\ P(X=x)=^nC_xp^xq^{n-x} \end{gathered}[/tex]The probability that at least 3 employees are late is given as,
[tex]\begin{gathered} P(X\ge3)=P(X=3)+P(X=4_{})+P(X=5) \\ P(X\ge3)=^5C_3(0.21)^3(0.79)^{5-3}+^5C_4(0.21)^4(0.79)^{5-4}+^5C_5(0.21)^5(0.79)^{5-5} \\ P(X\ge3)=0.0578+0.0077+0.0004 \\ P(X\ge3)=0.0659 \end{gathered}[/tex]Answer: The probability that in a department of 5 employees at least 3 are late is 0.0659.
cost: $41.80
rate of tip: 20%
Answers
Answer:
50.16 if you add 20 %
if you need the original price and this is with the 20% included then 33.44
Step-by-step explanation:
Aaliyah is trying to solve (2 – -3)? lbut is stuck on the first step. Finish solving the equationusing the Complete the Square Method and select the correct value of x below.O2=3 -OD=3+Oc=i - 3O2=334567891011 12NE
Answers
Given:
[tex](x-3)^2=-1[/tex]To solve for x:
Taking square root on both sides we get,
[tex]\begin{gathered} x-3=\sqrt[]{-1} \\ x-3=i \\ x=3+i \end{gathered}[/tex]Hence, the correct option is, B.
a student says that the solution of 375=x-28 is 347 explain the students error and find the correct answer
Answers
The given equation is:
375 = x - 28
To solve the equation:
Collect like terms
The -28 crosses the equality sign to the left and becomes 28
The equation then becomes:
375 + 28 = x
x = 403 (correct answer)
The students error is that when he collected like terms, he did not change the "-" sign in -28 to +
He did 375 - 28 = x
x = 347 (wrong)
how long will it take for the population to reach 5656 fish, according to this model?
Answers
Question:
Solution:
The population growth is given by the following equation:
[tex]P(t)=(707)2^{\frac{t}{3}}[/tex]where P represents the number of individuals and t represents the number of years from the time of introduction. Now, if we have a population of 5656 fish, then the above equation becomes:
[tex]5656=(707)2^{\frac{t}{3}}[/tex]this is equivalent to:
[tex]2^{\frac{t}{3}}\text{ = }\frac{5656}{707}[/tex]this is equivalent to:
[tex]2^{\frac{t}{3}}\text{ = }8[/tex]this is equivalent to:
[tex](2^t)^{\frac{1}{3}}\text{ = }8[/tex]now, the inverse function of the root function is the exponential function. So that, we can apply the exponential function to the previous equation:
[tex]((2^t)^{\frac{1}{3}})^3\text{ = }8^3[/tex]this is equivalent to:
[tex](2^t)^{\frac{3}{3}}^{}\text{ = }512[/tex]this is equivalent to:
[tex]2^t\text{ = }512[/tex]now, we can apply the properties of the logarithms to the previous equation:
[tex]\log _2(2^t)\text{ = }log_2(512)[/tex]this is equivalent to:
[tex]t=log_2(512)\text{ = 9}[/tex]we can conclude that the correct answer is:
9 years
you are planning a survey of starting salaries for recent business majors. in the 2018 survey by the national association of colleges and employers, the average starting salary was reported to be $56,720. if you assume that the standard deviation is $11,500, what sample size do you need to have a margin of error equal to $1,000 with 95% confidence?
Answers
The sample size you need to have a margin of error equal to $1,000 with 95% confidence is; 508
How to find the sample size?Formula for margin of error is given by the formula;
E = z(σ/√n)
where;
z is z-score at significance level
σ is standard deviation
n is sample size
We are given;
σ = $11500
z at significance level of 0.05 is 1.96
margin of error; E = $1000
Thus;
1000 = 1.96(11500/√n)
√n = (1.96 * 11500/1000)
√n = 22.54
n = 22.54²
n ≈ 508
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5#Consider the following random sample of diameter measurements (in inches) of 12 softballs.4.72, 4.74, 4.83, 4.75, 4.73, 4.87, 4.69, 4.7, 4.76, 4.7, 4.79, 4.76Send data to calculatorIf we assume that the diameter measurements are normally distributed, find a 90% confidence interval for the mean diameter of a softball. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)Lower limit:??Upper limit:??
Answers
ANSWER:
Lower limit: 4.73
Upper limit: 4.78
STEP-BY-STEP EXPLANATION:
Given the following data set:
[tex]4.72,4.74,4.83,4.75,4.73,4.87,4.69,4.7,4.76,4.7,4.79,4.76[/tex]We calculate the mean and standard deviation:
[tex]\begin{gathered} \mu=\frac{4.72+4.74+4.83+4.75+4.73+4.87+4.69+4.7+4.76+4.7+4.79+4.76}{12}=\frac{57.04}{12}=4.753 \\ \\ \sigma=\sqrt{\frac{\lparen4.72-4.753^2+\left(4.74-4.753\right)^2+\lparen4.83-4.753)^2+\left(4.75-4.753\right)^2+\left(4.73-4.753\right)^2+\lparen4.87-4.753)^2+\left(4.69-4.753\right)^2+\lparen4.7-4.753)^2+\left(4.76-4.753\right)^2+\left(4.7-4.753\right)^2+\left(4.79-4.753\right)^2+\left(4.76-4.753\right)^2}{12-1}} \\ \\ \sigma=0.054 \end{gathered}[/tex]The critical limit of 90% confidence interval is 1.645
We can determine the limits as follows:
[tex]\begin{gathered} \text{ Lower limit: }\mu-Z\cdot\frac{\sigma}{\sqrt{n}}=4.753-1.645\cdot\frac{0.054}{\sqrt{12}}=4.727\cong4.73 \\ \\ \text{ Upper limit:: }\mu+Z\cdot\frac{\sigma}{\sqrt{n}}=4.753+1.645\cdot\frac{0.054}{\sqrt{12}}=4.778\cong4.78 \end{gathered}[/tex]Can someone help me please
Answers
Answer:
A,D
Step-by-step explanation:
irrational is a number that never repeats and just goes on and on and these 2 numbers are the only ones
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Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, and the variable.
Answers
Answer:
A group of 3 teenagers wants to go out to a movie each ticket is 5 dollars, they all decide to share popcorn wich costs 3 dollars
Step-by-step explanation:
X=3 of the teenagers Y=18 the total cost
The constant is 5 because all the tickets cost and stay 5 dollars
And the variable is x because the amount of teenagers can change
Answer:
A Group Of 3 Family members wants to go out But the Table for 3 People cost 5 Dollars, So they just all decide to just Eat Icecream
Step-by-step explanation:
Which is $3. X=3 of the Family Members Y=18 The Total Cost The Constant is 5 because all of the tickets cost & stay $5 dollars & The variable is X because of the amount of money The Family Members have.
Daniel took 12 index cards and wrote the number 1 through 12 on them 1 number of each card. he then collected the cards, shuffled them, and drew one card from the stack. what is the probability that the number on the card is greater than 0
Answers
We have 12 cards, each one with a different number, so the probability of each card being picked is 1/12.
Since all these cards have numbers that are greater than 0, all the 12 cards are correct options to being picked.
Adding the probability of all 12 cards, we have 12/12, that is, 1 or 100%.
So the probability of picking a card with a number greater than 0 is 1 or 100% (that is, every card has a number greater than 0).
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
What is the solution to the equation below? Round your answer to twodecimal places.eX = 7.9
Answers
Solution
For this case we have the following equation:
[tex]e^x=7.9[/tex]For this case we can apply natural log in both sides and we got:
[tex]\ln (x)=\ln (7.9)=2.07[/tex]and then the solution would be:
D. x =2.07
A skating rink manager finds that revenue R based on an hourly fee F
for skating is represented by the function R = -480F² + 3120F.
What hourly fee will produce maximum revenues?
Answers
The hourly fees of $3.25 will produce the maximum value of revenue in the Skating rink.
Given function of the form:
R = -480F² + 3120F
Here R is the revenue and F is the hourly fees.
Now we will differentiate with respect to F
Hence.
[tex]\frac{dR}{dF} = -960F + 3120[/tex]
Now to find the maximum value we have to find the value of F for which [tex]\frac{dR}{dF}[/tex] is zero.
hence :
-960F+3120 = 0
or, F=3.25
Hence the value of F is 3.25 for which the revenue will be maximum.
Maxima and minima, the corresponding plurals of lower and upper bound of a function, are used in mathematical analysis to refer to the highest and lowest value of such a function, whether it be within or a defined range, the local the relative extrema, or throughout the entire domain.
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THESE IS DUE TODAY PLEASE IM IN A RUSH
Answers
Answer:
3/8 gal
Step-by-step explanation:
[tex]5\frac{1}{4} \times \frac{1}{6} = \frac{21}{4} \times \frac{1}{6} = \frac{21}{24} = \frac{3}{8} [/tex]
help
please it’s due tmrw
Answers
Answer: -3
Step-by-step explanation:
A square has each side equal to 2x-3. The expression that will calculate its area is:
A. 2x² + 6x + 9
B. 4x² + 9
C. 4x² + x - 6
D. 4x² - 6x + 9
E. 4x² - 12x + 9
Answers
The expression that will calculate its area is Option D. 4x² - 6x + 9.
The region is the amount that expresses the extent of vicinity on the aircraft or on a curved surface. The region of a plane vicinity or plane location refers to the area of a shape or planar lamina, whilst floor vicinity refers back to the region of an open surface or the boundary of a 3-dimensional item.
Calculation:-
side of square is given by = 2x-3
area of square = side²
= ( 2x-3)²
= 4x² + 3² - 2× 2x×3
= 4x² + 9 - 12x
The area is the quantity of area occupied by means of a two-dimensional figure. In other phrases, it's far the amount that measures the range of unit squares that cowl the surface of a closed determine. the same old unit of the vicinity is square devices that's usually represented as rectangular inches, square feet, etc.
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3 A of ch 75 -5 A study of traffic patterns in a large city shows that if the weather is rainy, there is a 50% chance of an automobile accident occurring during the morning commute. If the weather is clear, the chance of an accident is reduced to 25%. Suppose the weather forecast for tomorrow predicts a 75% chance of rain. Draw a tree diagram based on the information in the work space. (Level 4) Show Your Work US be A of ch
Answers
Solution
We can create the solution with the following tree diagram:
Part 2
For this case we want this probability:
P(rain and accident)
And we can do this operation:
P(rain and accident) = 0.75 *0.5 = 0.375
Part 3
For this case we want this probability:
P( no rain and accident)
And we can do this operation:
P(no rain and accident) = 0.25 *0.25 = 0.0625
Part 4
P(Accident) = 0.5*0.75 + 0.25*0.25= 0.4375
Solve for x in x^3 = 64/27.
Answers
ANSWER
[tex]x\text{ = }\frac{4}{3}[/tex]EXPLANATION
We have that:
[tex]x^3\text{ = }\frac{64}{27}[/tex]64 and 27 are perfect cubes. This is because they are integers that can be gotten when another integer is raised to the third power or multiplies itself three times.
So, to get x, we can find the cube root of both sides:
[tex]\begin{gathered} \sqrt[3]{x^3}\text{ = }\sqrt[3]{\frac{64}{27}} \\ \Rightarrow\text{ x = }\sqrt[3]{\frac{4\cdot4\cdot4}{3\cdot3\cdot3}} \\ x\text{ = }\frac{4}{3} \end{gathered}[/tex]That is the value of x.
Janice buys a stuffed animal for $16.20. There was a 8% tax on the toy. What was the cost of the stuffed animal before tax?
Answers
Answer:
$15
Step-by-step explanation:
After tax cost is $16.20
Since 8% tax this is 108% of before tax cost
16.20/1.08 = 15
x + 6=13 show the steps
Answers
100% D IN Use the information to answer the question. A store sells jump ropes. Each jump rope costs the same amount. During a sale, the store reduces the price of each jump rope by $1.90. Ma spends $12.78 on 2 jump ropes at the sale price. What was the price of 1 jump rope before the sale? Enter the answer in the box. $
Answers
Answer : $8.29
A shop sells jump ropes
Ma spends $12.78 on 2 jump ropes after removing $1.90 on each jump rope
Since, she spents $12. 78 on two jump ropes
$1.90 is removed from each
For the two jump rope, we have
2 x 1.90 = $3.80
This means $3.80 is removed from the two jump ropes
The total amount spents on the two jump rope before the removal is
$12.780 + $3.80
The total amount = $16.58
The total amount spents on the two jump ropes before the sales is $16.58
Since each jump rope cost the same price
Then
16.58/2 = $8.29
Therefore, the price of each jump rope is $8.29
Two-thirds of the gross of 144 plates was used at the wedding reception. How many plates were not used?
Answers
Answer:
47 ? (might b wrong_?
Step-by-step explanation:
2/3 divided by 144= 0.00462962963, if you round its 47.
Answer:48
Step-by-step explanation: because two third of 144 plates is 96 so you subtract 96 from 144.
Solve the quadratic equation by using the quadratic formula. 3x^2-5x+1=4 Enter your solutions below from smallest to largest. If a solution is repeated type that answer for both values of x. If your answer is not an integer then type it as a decimal rounded to the nearest hundredth.
Answers
Answer:
x = -0.47, x = 2.14
Step-by-step explanation:
Quadratic formula is my favorite!!
Let's first take that four over to the other side
Subtract 4 from both sides
3x^2-5x-3
a = 3
b = -5
c = -3
Remember quadratic formula: [tex]x=\frac{-b(+-)\sqrt{b^2-4ac} }{2a}[/tex]
IGNORE THE A BEFORE THE ±
Plug in our a, b, and c values: [tex]x=\frac{-(-5)±\sqrt{5^2-4(3)(-3)} }{2(3)}[/tex]
Simplify: [tex]x=\frac{5±\sqrt{25+36} }{6}[/tex]
Simplify some more: [tex]x=\frac{5±\sqrt{61} }{6}[/tex]
Solve:
x ≈ -0.47
x ≈ 2.14
9. Use the figure shown to identify each.
a. Vertical angles
b. Adjacent angles
c. Linear pairs
d. Supplementary angles
e. Complementary angles
Answers
The angles in the given figure are:
a. Vertical angles: angle 3 and angle 5.
b. Adjacent angles: angle 1, angle 2, angle 3, angle 4, and angle 5.
c. Linear pairs: angle 3 and angle 4, angle 4 and angle 5.
d. Supplementary angles: angle 4 and angle 5.
e. Complementary angles: angle 1 and angle 2.
We are given a figure and we need to identify the angle.
Let us identify the angle:
a. Vertical angles:
Each of the pairs of opposite angles is made by two intersecting lines.
In the given figure,
angle 3 and angle 5 are vertical angles.
b. Adjacent angles:
In the given figure,
angle 1, angle 2, angle 3, angle 4, and angle 5.
c. Linear pairs:
The sum of the two angles should be 180 degrees.
In the given figure,
angle 3 and angle 4, angle 4 and angle 5.
d. Supplementary angles:
The sum of the two angles should be 180 degrees.
In the given figure,
angle 4 and angle 5.
e. Complementary angles:
The sum of the two angles should be 90 degrees.
In the given figure,
angle 1 and angle 2.
Thus, the angles in the given figure are:
a. Vertical angles: angle 3 and angle 5.
b. Adjacent angles: angle 1, angle 2, angle 3, angle 4, and angle 5.
c. Linear pairs: angle 3 and angle 4, angle 4 and angle 5.
d. Supplementary angles: angle 4 and angle 5.
e. Complementary angles: angle 1 and angle 2.
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How do I figure out what graph(s) is linear or exponential? can someone explain how to do this for me?
Answers
Answer:
Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
Step-by-step explanation: