Answer:
A. 48.35°, 94.94°, 36.71°
Step-by-step explanation:
Given,
ABC is a triangle,
In which AB = 12 miles, BC = 15 miles and AC = 20 miles,
By the cosine law,
[tex]BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A[/tex]
[tex]2(AC)(AB)cos A=AC^2+AB^2-BC^2[/tex]
[tex]\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)[/tex]
Similarly,
[tex]cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)[/tex]
[tex]cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)[/tex]
By substituting the values in equation (1),
[tex]cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458[/tex]
[tex]\implies m\angle A\approx 48.35^{\circ}[/tex]
Similarly, from equation (2) and (3),
[tex]m\angle B\approx 94.94^{\circ}[/tex]
[tex]m\angle C\approx 36.71^{\circ}[/tex]
Hence, Option 'A' is correct.
Help please and need to show the work!
To find how many small cubes can fit inside a larger cube, you need to find the volume of both.
Once you have the volumes, divide the volume of the larger cube, by the volume of the smaller cube.
Volume = L x W x H
Small cube: Volume = 3/4 x 3/4 x 3/4 = 0.421875 cm^3
Large cube: Volume = 3 x 3 x 2 = 18 cm^3
Number of small cubes that can fit: 18 / 0.421875 = 42.67 Cubes.
Since you can't have a partial cube ( 0.67) round down to a whole number:
That means you can fit 42 cubes.
What is the value of x?
Answer:
x = 71°
Step-by-step explanation:
The triangle is clearly an isosceles triangle.
We know that all interior measures of a triangle must add up to 180°.
So: 180° - 38° = 142°
Because it is an isosceles triangle, the other two missing angles must be equal.
142° ÷ 2 = 71°
Answer:
x=71
Step-by-step explanation:
Because of the side being marked 27, you know that the triangle is an isosceles triangle. That means that the other 2 angles would be congruent. To find the sum of the remaining angles, you need to subtract 38 by 180 degrees. (All of the angles in a triangle add up to 180) 180-38=142. Since we already know that the two remaining angles will be congruent, you take 142 and divide by 2 to get the final answer 71.
Which question is best modeled with a division expression
A; what is the sum of 3 and 8/11
B: what is the quotient of 3 8/11
C: what is the product of 3 and 8/11
D: what is the difference of 3 and 8/11
Answer:
B
Step-by-step explanation:
Quotient is the answer of a division expression.
Could you mark brainliest sorry that if I bother you by asking.
What is the quotient of 3 and 8/11 is best modeled with a division expression
What is quotient?A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.
Given
Quotient is the answer of a division expression.
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If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
Answer:
Number of cookies produced in 8 hour are 10,600 cookies.
Step-by-step explanation:
If the production rate of cookies in a bakery is 1325 cookies per hour, we need to tell how many cookies will be produced in 8 hour shift.
Number of cookies produced in 1 hour = 1325 cookies
Number of cookies produced in 8 hour = 1325 * 8
= 10,600 cookies.
So, Number of cookies produced in 8 hour are 10,600 cookies.
Answer: The correct answer is the other one aka 10,600 i know cuz i used it and they were correct!!!
Line L and M are parallel find m<4
m<4 means the measure of angle 4, in degrees.
since the two lines are parallel, angles that are diagonal from each other are equal (like 2 and 4). One of the angles that are diagonal from angle 4 is 38°, so angle 4 is also 38°.
Answer: 38°
Answer:
your answer should be 38 degrees.
A function whose graph goes up as it is followed from left to right is called
A graph that goes from left to right is called a direct graph.
Characteristics of a direct graph include:
- passes through origin
- is an increasing line
- is a straight line
- doesn't cut through either of the y or x axis
;)
What is the common difference between consecutive terms in the following arithmetic sequence -11, -8, -5, -2, 1
Answer:
The common difference is +3
Step-by-step explanation:
When you add 3 to -11 it becomes -8, add 3 again and you get -5, keep doing this and you'll notice that +3 is the common difference.
Answer:
The common difference is +3
Step-by-step explanation:
If you add "3" since -11 you obtain this arithmetic sequence.
(-11+3) = -8
(-8+3) = -5
(-5+3) = -2
(-2+3) = 1
-11, -8, -5, -2, 1
If sin(x+y) - sin(x-y) = 2f(x)sin(y), then f(x) equals?????
From the function sin(x+y) - sin(x-y) = 2f(x)sin(y), we can deduce that f(x) = cosx
But sin(x + y) = sinxcosy + cosxsiny.
Also, sin(x - y) = sinxcosy - cosxsiny..
Hence:
sin(x+y) - sin(x-y)
= sinxcosy + cosxsiny - (sinxcosy - cosxsiny)
= sinxcosy - sinxcosy + cosxsiny + cosxsiny
= 2cosxsiny
2cosxsiny = 2f(x)sin(y)
Hence, f(x) = cosx
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Help on #9 I don't get it!
Your trying to rearrange the equation with v were the r was.
2( v - h ) / k = r
2( v - h ) k / k = rk
2( v - h ) = rk
2( v - h ) / 2 = rk / 2
v - h = rk / 2
v - h + h = rk / 2 + h
v = rk / 2 + h
two pens and one eraser cost 35.00 and three pencils and four erasers costs 65.00. find the cost of the pencil and eraser separately.
Answer:
Step-by-step explanation:
You start with creating let statements.
Let x = the cost of each pencil.
Let y = the cost of each eraser.
Let z= the cost of each pen.
Then, you’d fill in information from the problem.
3x + 4y = 65
2z + y = 35
Now, you’d solve like a system of equations; meaning you can do elimination or substitution.
The individual costs of pencils and erasers given total costs and quantities in a system of equations.The cost of each pencil is $2.00, and the cost of each eraser is $3.00.
The cost of each pencil is $2.00, and the cost of each eraser is $3.00.
Let x be the cost of one pencil and y be the cost of one eraser.
Set up a system of equations using the given information:
2x + y = 35 (equation 1)
3x + 4y = 65 (equation 2)
Solve the system using any method such as substitution or elimination to find x = $2.00 and y = $3.00.
(Cole) is conducting an experiment in which he will roll a six sided number cube numbered 1 to 6 twice. What’s the probability that the result of the rolls is two sixes
Answer:1/36
Step-by-step explanation:
11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 61 63 64 65 66 <=only 1 with 2 sixes
In the metric system, the numbers 10, 100, 1,000, 10,000, and so on serve as
Answer:
prefixes
Step-by-step explanation:
The exact response will depend a lot on what you learned in your manual and the terms used in it, but the metric system is all based on the base of 10, like the numbers system you use every day.
Unlike the US/Imperial system where there's no clear relation between an inch, a yard and a mile for example, in the metric system everything is related by the factor 10 somehow.
The unit multiplier is also used as a prefix to identify measurements. Like for meter...
10 meters = 1 decameter
100 meters = 1 hectometer
1000 meters = 1 kilometer
and so on.
Answer:
what he said
Step-by-step explanation:
please help w precalculus will mark brainliest!
-see attachment-
ANSWER
x=-3, y=6
EXPLANATION
The given equation is
[tex] - 3 + yi = x + 6i[/tex]
We can rewrite this equation as:
[tex]x - yi = - 3 - 6i[/tex]
The two complex number equations are equal therefore their corresponding parts are also equal.
Comparing the real number parts,
[tex]x = - 3[/tex]
Comparing the complex number part,
[tex] - y = - 6[/tex]
y=6.
Solve for t.
19=12gt2
A. t=76g‾‾‾√
B. t=g76‾‾‾√
C. t=(38g)2
D. t=38g‾‾‾√
Step-by-step explanation:
[tex]12gt^2=19\qquad\text{divide both sides by}\ 12g\\\\t^2=\dfrac{19}{12g}\to t=\sqrt{\dfrac{19}{12g}}[/tex]
Answer: >____(38g/g
Step-by-step explanation:
marias lemonade recipe calls for 2 cups of lemon juice and 8 cups of water however she would like to make lemonade with a stronger lemon flavor which change to the recipe would produce the strongest lemon flavor?
Answer:
maybe 2 and a half cups of lemon juice and 7 cups of water
Step-by-step explanation:
hopes this helps :) oof
Harry wanted to know the amount of hours that his classmates spent doing homework on any given
night. He surveyed his classmates and received the following data set.
.5, .5, .75, .75, .75, 1, 1, 1, 1, 1.5, 1.5, 2, 2, 3, 4
What is the interquartile range of the data set that Harry collected?
Answer:
1.25
Step-by-step explanation:
Hopefully that's right. It's a bit hard to see separation
The interquartile range of Harry's collected data set is 1.25 hours.
To calculate the interquartile range (IQR) for the given data set, we must first arrange the data in ascending order, which is already done in this case. The data set is .5, .5, .75, .75, .75, 1, 1, 1, 1, 1.5, 1.5, 2, 2, 3, 4. The next step is to find the medians of the lower and upper halves of the data set to locate the first quartile (Q1) and the third quartile (Q3).
Since the data set has 15 numbers, the median (which is also Q2) would be the 8th value, which is 1.
For Q1, we take the lower half, which consists of the first 7 numbers. The median of this subset is the fourth value: 0.75.
For Q3, we consider the upper half, which consists of the last 7 numbers. The median of this subset is the fourth value: 2.
Now, calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 2 - 0.75 = 1.25.
Therefore, the interquartile range of the data set that Harry collected is 1.25 hours.
Which are true about the area of the circle? Check all that apply
Answer:
Step-by-step explanation:
2, 3, 5
Answer:
Answers:2, 3, 5
Step-by-step explanation:
PLEASE HELP ASAP!!
What is the probability that the first spinner will land on 7 and the second spinner will land on C?
A. 1/3
B. 1/6
C. 1/12
D. 1/4
i believe the answer is c. 1/12
hope this helped! have a good day!
The required probability is 1/12 that the first spinner will land on 7 and the second spinner will land on C.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The probability that the first spinner will land on 7
P(7) = favorable outcomes / total outcomes
P(7) = 1/4
The probability that the second spinner will land on C
P(C) = 1/3
As per the given question, the required probability will be as:
⇒ P(7) × P(C)
⇒ 1/4 × 1/3
⇒ 1/12
Hence, the correct answer would be an option (C).
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You can buy 4 bottles of water from a vending machine for $7. At this rate, how many bottles of water can you buy for $28
Answer:
16
Step-by-step explanation:
Divide 7 by 4, which gives you 1.75 . Multiply 1.75 & 28 and you get 16.
Answer:
16 bottles
Step-by-step explanation:
We can write a ratio, dollars over bottles of water
7 28
-------- = ----------
4 x
Using cross products
7x = 4*28
Divide each side by 7
7x/7 = 4*28/7
x = 4 * 4
x = 16
A mother who is 40 years old has a daughter and a son. The son is twice as old as the daughter. In 15 years the sum of all their ages will be 100 years. How old are the siblings now?
Answer:
the son is 30 and the daughter is 15
Step-by-step explanation:
the mom is 55 in 15 years
100-55=45
45-30=15
15x2=30
Answer:
15 and 5
Step-by-step explanation:
Mother's current age: 40
daughter's age: d
son's age: s
son is 2x as old as daughter: s = 2d
Then, 15 years from now, the sum of their ages will be:
(40 + 15) + (2d + 15) + (d + 15) = 100
or
55 + 15 + 15 + 3d = 100
85 + 3d = 100, or 3d = 15, or d = 5.
Then the son's age is 3(5) = 15 and the daughter's is 5.
Find the solution to the system.
y=x^2+5x+6
y=4x+12
Answer:
-3,2
Step-by-step explanation:
4x+12=x^2+5x+6
0=x^2+5x-4x+6-12
0=x^2+x-6
0=(x+3)(x-2)
x=-3,2
student government members survey every 15th student who enters the school building and asks whether students favor the school’s new school mascot. the sample statistics show that 57% oppose the new school mascot., 37% favor the school mascot, and 6% have no opinion.
The student's question pertains to a survey on students' opinions about a new school mascot. The survey results showed varying levels of support and opposition, which are crucial for decision-making in educational policy. This demonstrates the real-world application of mathematics in understanding public opinion through statistics.
The student's question deals with a survey conducted by student government members to understand the school community's stance on the new school mascot. This survey follows a systematic sampling method by asking every 15th student entering the school. The outcome showed that 57% oppose, 37% are in favor, and 6% have no opinion regarding the new mascot. Such a poll is useful for making decisions related to public policy and ensuring that actions consider community preferences.
Another key component is understanding the methodology behind this survey. If we consider a similar scenario where 600 students are surveyed with 480 opposing new legislation (as mentioned in one of the examples), we could calculate the percentage opposing the legislation and use this to propose actions or influence decision-making processes regarding school policies.
In the context of educational institutions, conducting polls or surveys is a practical way to involve student bodies in decision-making processes, reflecting a democratic practice in school governance. This kind of statistical analysis forms a crucial part of mathematics in the real world, particularly within the fields of statistics and probability.
Please help me ll give you 40 branily
Answer: Figure 2
Step-by-step explanation: A translation of the blue shaded shape would be figure 2
2 friends equally share 5 cookies how many cookies does each friend get?
Answer:
They both get 2 and 1/2 of a cookie!
Hope this helped, God bless you!
Final answer:
Two friends sharing 5 cookies equally will each get 2.5 cookies after dividing the total number of cookies by the number of friends.
Explanation:
If two friends equally share 5 cookies, each friend gets 2.5 cookies. Since cookies typically cannot be equally divided by 2 without cutting them into pieces, we assume here that it's possible to split the cookies such that each person gets an equal share. Here's the calculation:
Start with the total number of cookies, which is 5.
Divide that number by 2, because there are 2 friends sharing the cookies.
The answer is 2.5 cookies for each friend.
This question involves simple division and is an example of how to apply fair sharing in a real-world scenario.
On a map of the United States the line from Portland, Oregon, to Twin Falls, Idaho, is 11 centimeters long. If the scale of the map is 2 centimeters to 100 miles, how far is it from Portland to Twin Falls?
Not sure what to do about Oregon and Idaho but the 2/100 gives you a 50 unit rate 50x11= 550
Answer:
using the information we have we can see that each mile centimeter is 50 miles. 11 x 50 is 550 so that is your answer
550 miles
rewrite the expression 14m-(5+8m) without parentheses
Answer:
14m-5-8m
Step-by-step explanation:
Answer: 6m-5
Step-by-step explanation:
First, apply the distributive property and get rid of the parentheses. That will give 14m-5-8m. Now, combine like terms. And that will give the answer 6m-5.
There are 10 students in a class. The teacher chooses three students to go to the library. The order in which they are chosen does not matter. How many ways are there to choose the students?
Answer:
I think the answer is C.
Answer:B. 120
Step-by-step explanation:
Find the lateral area of the regular prism with height h, if the base of the prism is:
Regular hexagon with the side 3.5 cm and h = 4 cm
PLZ HELP!!!!
Answer:
The lateral area of the prism is [tex]84\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of the regular prism is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base of the prism
h is the height of the prism
Find the perimeter of the base
[tex]P=6(3.5)=21\ cm[/tex] ----> is a regular hexagon (6 equal sides)
we have
[tex]h=4\ cm[/tex]
substitute
[tex]LA=(21)(4)=84\ cm^{2}[/tex]
Ricky is filling an 8-inch by 4-inch by 4 1/2 inch rectangular box with cubes.the cube come in two different sizes, 1 cubic inch and 1/8 cubic inch.he uses some of each size cube and he packs the box so there are no gaps.what is the least smaller subs that Ricky can use
A.)32
B.)64
C.)128
D.)256
To fill the rectangular box with cubes, Ricky can use 144 larger cubes and 0 smaller cubes, resulting in the least number of smaller cubes being 0. The correct answer is option A) 32.
Explanation:To find the least number of smaller cubes that Ricky can use to fill the rectangular box, we first need to calculate the volume of the box. The volume of the box can be found by multiplying its length, width, and height. In this case, the volume is 8 inches x 4 inches x 4.5 inches = 144 cubic inches.
The larger cubes have a volume of 1 cubic inch, while the smaller cubes have a volume of 1/8 cubic inch. To minimize the number of cubes used, we want to use the larger cubes as much as possible.
We can now calculate the number of larger cubes that can fit in the box. 144 cubic inches / 1 cubic inch = 144 cubes.
Next, we need to fill any remaining space with the smaller cubes. The remaining space can be calculated by subtracting the volume occupied by the larger cubes from the total volume of the box. 144 cubic inches - 144 cubic inches = 0 cubic inches.
Since there is no remaining space, we do not need to use any smaller cubes. Therefore, the least number of smaller cubes that Ricky can use is 0.
So, the correct answer is option A) 32.
Which table represents a function
Answer:
The third one, also I see you with boogie wit da hoodie, Hoodie SZN is a really good album.
Step-by-step explanation: