9514 1404 393
Answer:
[tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]
Step-by-step explanation:
The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.
The value of the cosine is ...
cos(11π/12) ≈ -0.9659
The values of the answer choices are ...
a) -0.9659 . . . . matches the required value
b) -0.2588
c) 0.2588
d) 0.9659
_____
You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).
Answer:a
Step-by-step explanation:
Edge:)
Which ratios form a proportion?
A) 4/10 and 10/25
B) 4/9 and 9/4
C) 3/5 and 9/25
D) 4/11 and 6/13
H/7 =27 can some one answer this pls
Answer:
h=189
Step-by-step explanation:
solve for H by simplifying both sides of the equation, then isolating the variable.
hope this helped
There are 4 circles and 1 triangle what is the simplest ratio
Answer: 1:1 or 2:1
Step-by-step explanation:
help please what type of angle is this, and what is x?
Answer:
50 Pick me brainliest
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
These angles are vertical angles. Vertical angles are congruent to each other. Therefore, 3x° = (2x+50)°
Subtract 2x from each side.
x=50
a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?
Answer:
1/12 lb
Step-by-step explanation:
2/3 x 1/8 = 2/24 = 1/12
Step-by-step explanation: 2/3 / 8/1 is actually multiplying the first number by the reciprocal of the second. So 2/3 x 1/8. That equals 0.08333... or 1/12.
Hope this helps!
If you take out a loan for $4,000 and you will owe $4,920 after 2 years, what is the rate of simple interest? Express your answer as a percentage rounded to the nearest tenth of a percent if necessary, but do not include the percent sign.
Answer:
11.5
Step-by-step explanation:
Answer:
11.5
Step-by-step explanation:
you have to use this equation to solve it [r = (1/t)(A/P - 1)] and basically just plug the numbers in to get 11.5. (you could also use one of those online calculators)
r = (1/2)((4920/4000) - 1) = 0.115
r = 0.115
1.8 divide by 0.72 explain
Answer:
0.40
Step-by-step explanation:
Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
7.2 ÷ 18 = 0.40
and therefore:
0.72 ÷ 1.8 = 0.40
Both calculated to 2 decimal places.
Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event
Answer: The condition to which the trees were exposed played a part in their inability to survive.
Step-by-step explanation:
From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.
Solve for k, please!
2(k − 5) = 12
Answer:
k = 11
Step-by-step explanation:
Expand brackets
2k - 10 = 12
add 10 on both sides
2k = 22
divide both sides by 2
k = 11
PLZZ HELPP ILL GIVE BRAINLIST
Complete the ratio table for Car A.
Answer:
The answer for miles driven is 100 for the first blank, 400 for the second blank, and 600 for the third blank. As you can see, that is how the pattern goes. The blank for Gallons of gas one is 12, and the blank for gallons of gas two is 20.
Step-by-step explanation:
An air conditioning system can circulate 420 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Answer:
15.5556 cubic yards
Step-by-step explanation:
A yard is equal to three feet. Divide the volume value by 27 (3 cubed).
3. There are 2 girls and 3 boys on a camping trip. What is the ratio of girls to boys on the trip? Choose all that apply. 2:3 2 to 5 2:5 2 to 3
Answer:
2:3
Step-by-step explanation:
5 in total as you subtract the dudes
Please help ASAP !! Via the photo below
Answer:
y-3 = -4 (x-1)
Step-by-step explanation:
y= -4x - 5
In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).
Use the point (1,3) and substitute it into the equation.
Point-slope form: y-y1 = m(x-x1)
y-3 = -4 (x-1)
A publisher reports that 55% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 280 found that 51% of the readers owned a laptop. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.
Answer:
We fail to reject the null hypothesis, we accept H₀
Step-by-step explanation:
Population proportion p₀ = 55 % p₀ = 0,55
Sample size n = 280
Sample mean p = 51 % p = 0,51 q = 0,49
n*p and n*q are both bigger than 10 therefore we can approximate the binomial distribution to a normal distribution
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p ≠ p₀
Significance level is α = 0,05 but we have a two-tail test then
α/2 = 0,025
z(c) = - 1,96
Computing z(s)
z(s) = ( p - p₀ ) / √(p*q)/n
z(s) = ( 0,51 - 0,55 ) / √(0,51*0,49)/280
z(s) = - 0,04 * 16,73 / 0,5
z(s) = - 1,34
Comparing
z(s) and z(c)
- 1,34 < - 1,96
| z(s) | < | z(c)|
Then z(s) is in the acceptance region, we accept H₀
Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. In order to be at school on time she increased her usual speed by 20% and still was at school 15 minutes later than usual. What is her usual time from home to school
Answer:
Her usual time from home to school is 30 minutes
Step-by-step explanation:
At any point in time;
distance = speed * time
Here, we want to calculate the normal time she spent going from home to school
Let the normal time be x minutes
And the normal speed be t m/min
Today, she increased her speed by 20%
Her speed today will be t + 20/100 * t =
1.2t m/min
Her distance from how to school normally is
xt meters
Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier
What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes
So, the time spent on her increased speed journey is;
(x-5) minutes
At any point in time, the distance will be equal;
Thus, mathematically;
xt = 1.2t(x-5)
xt = 1.2xt - 6t
6t = 1.2xt-xt
6t = 0.2xt
t cancels out
0.2x = 6
x = 6/0.2
x = 30 minutes
I don't understand can someone help me PLZ
Answer:
1/2
Step-by-step explanation:
the circle has 8 pieces so that's how you get the denominator
you count how many A's there are and that is your numerator
so now 4/8 and reduce to get a half
XLiV represents 64 true ya false
Answer:
False
Step-by-step explanation:
Given
[tex]XLIV = 64[/tex]
Required
True or False
The above numeral can be split as follows:
[tex]XLIV = XL + IV[/tex]
X means 10 and L means 50.
But because X (10) which is smaller comes before L (50), XL is executed as:
[tex]XL = -10 + 50[/tex]
[tex]XL = 40[/tex]
In Roman numerals;
[tex]IV = 4[/tex]
Substitute 40 for XL and 4 for IV.
[tex]XLIV = 40 + 4[/tex]
[tex]XLIV = 44[/tex]
Hence;
[tex]XLIV = 64[/tex] is false
The distance between -18 and 15 is equal to ______.
A. 18 - 15
B. 15 - 18
C. -18 - 15
D. 15 - (-18)
Answer:
It would be equal to 15 - (18)
Answer:
it would actually be (B)
I need help, pls !!!
Answer:
D) 11.2 Orange
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-8, -1)
Point (-3, 9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]Add: [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{25+100}[/tex]Add: [tex]\displaystyle d = \sqrt{125}[/tex]Simplify: [tex]\displaystyle d = 5\sqrt{5}[/tex]Evaluate: [tex]\displaystyle d = 11.1803[/tex]Round: [tex]\displaystyle d = 11.2[/tex]The graph below shows the solution to which system of inequalities?
Find the missing exponent in each expression
Answer:
See below.
Step-by-step explanation:
Multiplying terms with exponents make the exponents add together.
13.) x² · x⁵ = x⁷
14.) b⁵ · b³ = b⁸
15.) y⁴ · y⁷ = y¹¹
16.) m⁴ · m¹ = m⁵
Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i
Answer:D
Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.
The statement that illustrates the commutative property of addition is
8i + 4 = 4 + 8i. The correct option is D.
What is the commutative property of addition?The commutative property of addition:
Let a and b are numbers.
a + b = b + a
The change in the position of two numbers in an addition operation does not change the sum.
The commutative property of addition:
Let a and b are numbers.
So, a + b = b + a.
LHS = 8i + 4
= 2 (4i+2)
= 2(2 + 4i)
= 4 + 8i
That means, 8i + 4 = 4 + 8i holds the commutative property of addition.
Therefore, the equation is 8i + 4 = 4 + 8i.
To learn more about the commutative property;
https://brainly.com/question/778086
#SPJ2
Write 2 min : 1.5 min as a fraction
Step-by-step explanation:2=120 1.5=90
[tex]therefore =3/4[/tex]
3/8 × 4/11 =
three eighths times four elevenths
Answer:
12/88, which is 3/22 in simplest form.
Answer:
12/88 Simplified:3/22
Step-by-step explanation:
you just multiply the numerator but the numerator and then denominator but the denominator. Then you just simplify
Hope that helps:)
fill in the boxes to show two ways you can find 8+6
Answer:
(4+3) + (4+3) and (7-1) + (9-1)
Step-by-step explanation:
You can always break it down in half to make it easier.
What is the value of this expression 3x[(7+8)x2+6]
Answer:
96 or 108
Step-by-step explanatio
Oliver surveyed 880 of the students in his school about their favorite color. Students
could choose between red and blue. 35% said their favorite color was blue. How many
students' favorite color was red?
Answer:
572
Step-by-step explanation:
10%=88
5%=44
30%=264
35%=308= favourite colour blue
880-308=572= favourite colour red
Garth has a summer job and earns $9.32 per hour. One week, he works 16 34 hours. He deposits $150 in a bank and decides to use the rest of the money to buy raffle tickets. Each raffle ticket costs $0.50. How many raffle tickets can Garth buy?
Answer:
12 ticketsStep-by-step explanation:
Earning = $9.32 per hourWork hours = 16 3/4 = 16.75Earning in week:
$9.32*16.75 = $156.11Remaining money after he deposits $150:
$156.11 - $150 = $6.11How many raffle tickets can be bought:
$6.11/$0.50 = 12 and $0.11 remainsAnswer:
12 tickets
Step-by-step explanation:
1490 thousand help me get that number because I can't find them
Answer:
1,490,000
Step-by-step explanation:
Answer:
1490000?
Step-by-step explanation: