Answer:
Step-by-step explanation:
4 minutes
let angle B ne an acute angle in a right triangle. approximate the measure ot angle B to the nearest tenth of a degree when cos B = 0.2536.
Given that
[tex]\cos B=0.2536[/tex]We can find the measurement of angle B by getting the cosine inverse/arccos of 0.2536, which is calculated as follows
[tex]\begin{gathered} B=\cos ^{-1}(0.2536) \\ B=75 \end{gathered}[/tex]The problem requires that our answer is in the nearest tenth, hence, rounding off 75 to the nearest tenth, we get 80 degrees. Therefore, angle B has a measurement of 80 degrees.
Additional note that when computing such a problem, the calculator must be in terms of degrees, not radians.
Matikas is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D.
Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V.
Enter the answers, in simplified form, by filling in the boxes to complete the proof.
The coordinates of point A are (
,
).
The coordinates of point B are (a+c, b+d) .
The coordinates of point C are (
,
).
The coordinates of point D are (c, 0) .
The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is dc .
The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is
.
Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.
(a,b) = coordinate of point A , (2c,d) = coordinate of point C , slope of AD and BC = [tex]\frac{b}{a-c}[/tex]
What is coordination?A set of values representing the location of a point on the coordinate plane using horizontal and vertical distances from two reference axes. Often expressed as (x,y), where the x value and
As per the midpoint formula
we have points P(x1,y1) and Q (x2, y2)
Now mid point of line PQ is
[tex]x = \frac{x1+x2}{2} , y =\frac{y1+y2}{2}[/tex]
Here, the mid point of line joining R(0,0) and S(2a,2b)
By midpoint formula, coordinates of point A
[tex]x = \frac{0 + 2a}{2} =a , y = \frac{0+2b}{2} = b[/tex]
so
coordinate of point A is (a,b)
[tex]Also, C. is \\ the midpoint of line joining \\T (2c,2d) and V(2c,0)[/tex]
coordinate of point C is given by
[tex]x = \frac{2c+2c}{2} = 2c, y = \frac{2d+0}{2} = d[/tex]
so we have
(2c,d) = coordinate of point C
it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)
If we have points P(x1,y1) and Q (x2,y2)
then the slope of PQ =[tex]\frac{y2-y1}{x2-x1}[/tex]
hence slope of AD= [tex]\frac{0-b}{c-a}[/tex]
=[tex]\frac{b}{a-c}[/tex]
and slope of BC =[tex]\frac{d-(b+d)}{2c-(a+c)} \\[/tex]
=[tex]\frac{b}{a-c}[/tex]
both of the ,slope of AD and slope of BC are same = [tex]\frac{b}{a-c}[/tex]
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Sam and Rohan's families are driving to Chicago, Illinois, from Orlando, Florida. Sam's
family is driving a direct route of 1,157 miles at 65 mph. Rohan and his family are driving
through Charlotte, North Carolina and will drive 1,250 miles at 70 mph.
At this rate, how many hours will it take Sam's family to get to Chicago, Illinois?
(Round your answer to the tenths place.)
The time taken for Sam's family to get to Chicago, Illinois is 17.8 hours.
How many hours will it take Sam's family to get to Chicago, Illinois?Sam's family:
Total distance = 1,157 milesAverage speed = 65 mphTime taken = ?Average speed = Total distance / Time taken
65 = 1, 157 / time
cross product
65 × time = 1, 157
Time = 1,157 / 65
Time = 17.8 hours
Roshan's family:
Total distance = 1,250 milesAverage speed = 70 mphTime taken = ?Average speed = Total distance / Time taken
70 = 1,250 / Time
cross product
70 × time = 1,250
Time = 1,250/70
Time = 17.86 hours
Approximately,
17.9 hours
In conclusion, it will take Rohan's family 17.9 hours to get to Chicago, Illinois.
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Which is a better estimate for the weight of a winter coat?
2 tons
2 pounds
Answer:
2 pounds is the correct answer because 2 tons would be to much for any human to hold / wear
Will mark As Brainliest pls answer the 5 questions
The required solution of the linear equation is x = 6.
What is linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given [tex]\frac{3x}{2} - \frac{2x}{3}=5[/tex]
[tex]\frac{3x}{2} - \frac{2x}{3} = 5\\ \Rightarrow \frac{9x-4x}{6} = 5\\ \Rightarrow \frac{5x}{6} = 5\\\Rightarrow 5x = 30\\\Rightarrow x = 6[/tex]
Therefore, the required solution of the linear equation is x = 6.
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please need help with this ASAP
Answer:
[tex]\sf \dfrac{1}{2} \pi \;\overline{TM}[/tex]
Step-by-step explanation:
The angle at the circumference in a semicircle is a right angle.
Therefore, as [tex]\sf \overline{OS}[/tex] is the diameter of circle T, and point Q is on the circumference of the circle:
m∠SQO = 90°Therefore, if m∠MTN = m∠SQO then:
m∠MTN = 90°Angles around a point sum to 360°.
As 90° is one quarter of 360°, the measure of arc MN is one quarter of the circumference of circle T.
The circumference of a circle is 2πr, where r is the radius.
Therefore:
[tex]m\sf \overset{\frown}{MN}=\dfrac{2 \pi r}{4}=\dfrac{1}{2} \pi r=\dfrac{1}{2} \pi \;\overline{TM}[/tex]
Need help with homework
we have the expression
[tex]10-4+2(4)^2[/tex]step 1
squared 4 before multiplying
[tex]\begin{gathered} 10-4+2(16) \\ 10-4+32 \end{gathered}[/tex]therefore
step 1 is incorrect
Justine's work is incorrect
the answer is option N 15. Write whether each expression is a monomial or a binomial.а. Зуb.(-9) +hC. Wr + 5wrd. -7aghe. 2f. k + 126. Simplify these expressions.8n + (-9p) + (-2p)
A monomial is an expression with a single term. A binomial is an expression with 2 terms.
Looking at the given question,
a. 3y is a single term. Thus, it is a monomial
b. - 9 + h. The expression has two terms. It means that it is a binomial
c. Wr + 5wr is also a binomial
d. -7agh is a monomial
e. 2 is a monomial
f. k + 12 is a binomial
For a field trip 23 students rode in cars and the rest filled 4 buses how many students were in each bus if 111 students were on the trip.
Let b be the number of students that were in each bus, since 111 students were on the trip, 23 students rode in cars, and the rest filled 4 buses, then we can set the following equation:
[tex]111=23+4b\text{.}[/tex]Subtracting 23 from the above equation we get:
[tex]\begin{gathered} 111-23=23+4b-23, \\ 88=4b\text{.} \end{gathered}[/tex]Dividing the above equation by 4 we get:
[tex]\begin{gathered} \frac{88}{4}=\frac{4b}{4}, \\ b=22. \end{gathered}[/tex]Answer: 22 students.
1-You are werdding photograher. You are preparing to photograph wedding party consisting of 5 bridemaids. 5 groomsmen, the bride, and the groom. How many people should be in this photo ?
EXPLANATION
In this photo should be 5+5+1+1=12 people.
The answer is 12 people.
8. It takes Joe 12 minutes to ride a roller
coaster four times. Create a table to represent
the relationship between the total time, y, and
the number of rides, x.
The required table, which represents the relationship between the total time y and the number of rides x,
x y[min]
1 3
2 6
3 9
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let,
Total time of ride a roller is directly proportional to the number of rides, x
y = kx
where k is the rate constant,
put y = 12 and x = 4
12 = 4k
k = 3
Now,
y = 3k
From the above expression, a table can be deduced.
Thus, the solution is given in the table as.
x y[min]
1 3
2 6
3 9
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Which graph shows the ordered triple (2, 3, 3) plotted correctly?
Answer:
the answer is D
Step-by-step explanation:
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: Width = 3.4 meters, Length = 6.4 meters
Step-by-step explanation:
If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].
[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]
b=3 what does b(b-5) equal please
Answer:
= -6
Step-by-step explanation:
Substitute it in:
3(3-5)
Calculate the difference:
3(-2)
Then multiply to get an answer:
= -6
Sup guy can i have help 420 points up for grab
-(x-8y+27)
Answer:
-x+8y-27
Step-by-step explanation:
-(x-8y+27)
so the sub symbol is kinda just 1 sense there isnt anything else for there
-1(x-8y+27)
now just like group them or smt
-1(x)+(-1)(-8y)+(-1x27)
so yea then tou multiply all of them and then
-x+8y-27
also
- x - = +
+ x + = +
- x + = -
How do I solve this?
Answer:
12
Step-by-step explanation:
Rewrite 16 as 4 ^ 2...
[tex]\sqrt[3]{4^2}[/tex]
Pull terms out from under the radical, assuming positive real numbers...
3 x 4
Multiply 3 by 4...
12
Hope this helps! :)
Which function has the greatest y-intercept?
f(x)
h(x)
g(x)
Answer:
h(x)
Step-by-step explanation:
y-intercept is shorthand for ' y - axis intercept'
the graph which intercepts the y-axis the highest is h(x)
What is the formula for the sequence
1, 6, 12, 19, 27 ?
Answer: the formula is 5,6,7,8,9,10 every step plus one
Step-by-step explanation:
1+5 =6
6+6=12
12+7=19
19+8=27
27+9=36
what is 5(−3.4k−7)+(3k+21) pls
write write in equal inequalities to represent each situation Molly went shopping in her bank account got below 7.50
Transform the given general equation to standard equation
x2 + y2 - 4x + 4y - 4 = 0
please answer my question, thank you!
Answer:12
Step-by-step explanation:
Mike bought 4 basketballs for $62. What was the price per basketball?
Answer: The answer would be $15.50 per basketball
Step-by-step explanation:
If mike bought 4 basketball for 62 dollars you have to divide 62 and 4. Which equals 15.5 so in dollars it would be 15 dollars and 50 cents or $15.50.
At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end if the baking session, there was 0.98 kilograms of flour in the bag. What is the percent of decrease, rounded to the nearest tenth, for the amount of flour?
The percent of decrease, for the amount of flour, is 56.63%.
What is percentage?A percentage is a number that tells us how much out of 100.
Given that, at the beginning of a baking session, there were 2.26 kilograms of flour in the bag, by the end if the baking session, there was 0.98 kilograms of flour in the bag
The amount percentage left = (2.26 - 0.98)/2.26*100 = 56.63%
Hence, The percent of decrease, for the amount of flour, is 56.63%.
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The coordinates of one endpoint of a line segment are (4, - 12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coorblinate pairs in the box using a comma to separate each pair. For example:
Solution:
Starting point = (4, -12)
Length = units
Along the y axis, the endpoints could be
(4, -7) and (4, -17)
Along the x- axis, the endpoints could be
(9, -12) and (-1, -12).
The answer is (4, -7), (4, -17), (9, -12), (-1, -12).
Solve the system of equations by the addition method.
4x + 5y = 39
(3x – 2y = − 11
The value of x = 1, y=7
From the question, we have
4x + 5y = 39 .............(i)
3x – 2y = − 11 ...........(ii)
multiply equation (i) by 2, we get
8x + 10y = 78 .............(iii)
multiply equation (ii) by 5, we get
15x – 10y = −55 .............(iv)
adding equation (iii) and equation (iv), we get
23x = 23
x = 1
substituting the value in equation (iii), we get
y = 7
Addition:
When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.
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Given two sides of a triangle, find a range of possible lengths for the third side.
Using the triangle inequality theorem,
b - a < X < a + b
Hence,
17 - 4 < x < 17 + 4
13 < x < 21
Hence, the third side lies between 13cm and 21 cm
1) Frank walks to school 35% of the time. If there are 180 days in a school year, how many days did he walk to school?
Answer:
63 days
Explanation:
Given the total number of days in a yesr = 180 days
Percent of the time he walks to school = 35 %
Number of days he walks to school = 35% of 180
Number of days he walks to school = 0.35 * 180
Number of days he walks to school = 63 days
Hence the number of days he walked to schools is 63 days
Find the area of the triangle below.Be sure to include the correct unit in your answer.15 yd117 yd23 yd
Given data:
The given figure of the triangle.
The expression for the area of the triangle is,
[tex]\begin{gathered} A=\frac{1}{2}(23\text{ yd)(7 yd)} \\ =80.5\text{ sq-yds} \end{gathered}[/tex]Thus, the arres of the given triangle is 80.5 sq-yds.
Between which rational numbers does 30−−√ fall?
Rational number which does the square root of 30 fall is between 5 and 5.5.
Define rational number.A rational number is any number that can be expressed as a ratio (or fraction) of two integers. p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers.
Given,
25 and 36, which are the squares of 5 and 6, respectively, are the perfect squares that are most similar to 30.
Therefore, the square root of 30 will lie between 5 and 6. Additionally, the square root of 30 will be between 5 and 5.5 because it is closer to 25 than it is to 36.
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twelve more than two times a
number is twenty-two
Answer:
5 is the number
Step-by-step explanation:
2x + 12 = 22
2x+12-12 = 22-12
2x = 10
2x÷2 = 10÷2
x=5
Plug x back in the equation and check the answer.
2(5)+12 = 22
10+12 = 22
22=22
It checks out!