Answer:
42.1
Explanation step-by-step:
Working out the lenght of the blue-dashed line:
SOH
47 is the Hypotenuse.
the blue line is the adjacent.
adjacent= Cos(30) x47
adjacent= 40.7
Working out x :
40.7 is the opposite this time.
x is the adjacent.
x = 40.7/ Tan(44)
x = 42.1
Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below.
Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees.
Which pair of measurements are possible if they are congruent figures?
Measure of angle W = 47 degrees and Measure of angle X = 94 degrees
Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees
Measure of angle W = 47 degrees and Measure of angle Y = 140 degrees
Measure of angle X = 140 degrees and Measure of angle = 94 degrees
Answer:
None of these
Step-by-step explanation:
The congruent occurs when the two diagrams are matched with each other in terms of the same sides and same angles
In other terms, we can say that if both quadrilaterals contain the same sides and same angles so we called as congruent
As we can see in the figure that there is only angles are given but not the sides that are totally different
Hence, none of these is the right answer
Answer:
D.) Measure of angle X = 140 degrees and Measure of angle = 94 degrees
Step-by-step explanation:
Which of the following statements could be used in the proof?
Answer:
Option (3)
Step-by-step explanation:
To prove ΔULV ≅ ΔKLY,
Statements Reasons
1). VL ≅ LY 1). Radii of a circle are equal
2). UL ≅ KL 2). Radii of a circle are equal
3). ∠ULV ≅ ∠KLY 3). Vertical angles are equal
4). ΔULV ≅ ΔKLY 4). SAS property of congruence
Therefore, property (3) given in the options will be used to prove the triangles congruent.
What is the volume of the pyramid? A rectangular pyramid with a base of 8 centimeters by 6 centimeters and a height of 5 centimeters. 10 centimeters cubed 80 meters cubed 120 centimeters cubed 240 centimeters cubed
Answer:
Step-by-step explanation:
8•6= 48•5=240 divided by 3= 80
The volume of the rectangular pyramid is 80 cubic centimeter.
What is volume?
Volume is the measure of the capacity that an object holds.
Formula for the volume of a rectangular pyramid[tex]v = \frac{lwh}{3}[/tex]
Where,
V is the volume of the rectangular pyramid
l is the base length
w is the base width
h is the Pyramid height
According to the given question
We have
Base length of the rectangular pyramid = 8cm
Base width of the rectangular pyramid = 6cm
And the height of the rectangular pyramid = 5cm
Therefore,
The volume of the rectangular pyramid is given by
V = [tex]\frac{(8)(6)(5)}{3}[/tex]
⇒ V = 8 × 2 × 5
⇒ V = 30 cubic centimeter
Hence, the volume of the rectangular pyramid is 80 cubic centimeter.
Learn more about the volume of rectangular pyramid here:
https://brainly.com/question/21334693
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An intelligent trader travels from 1 place to another carrying 3 sacks having
30 coconuts each. No sack can hold more than 30 coconuts. On the way
he passes through 30 checkpoints and on each checkpoint he has to give 1
coconut for each sack he is carrying. How many coconuts are left in the
end? *
Answer:
none
Step-by-step explanation:
the man is carrying 3 sacks
each has 30 coconuts
so at total he has 90 coconuts: 30*3= 90
he passe through 30 checkpoints
ha has to give 1 coconut for each sack
so he gives 3 coconuts each time: 3*1=3
there are 30 ckeckpoints so : 3*30= 90
he has spent all the coconuts unless he has a trick
He starts with 3 sacks with 30 in each sack.
He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.
The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.
Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.
Giving away 1 coconut at those checkpoints, he would have 25 left
HELPPPP ME ASAP PLEASEEE DO STEP BY STEPPPP Distribute and simplify the following: x(3x + 2)(-2x + 1)
Answer:
-6x^3 - x^2 + 2x
Step-by-step explanation:
We can first start with distributing the x using the distributive property
(3x^2 + 2x)(-2x+1) Remember that when x is multiplied with 3x, it increases the exponent to 3x^2)
Now we use FOIL to distribute (First, Outside, Inside, Last)
-6x^3 + 3x^2 - 4x^2 + 2x
We can combine the like terms (3x^2 and - 4x^2) into -x^2
-6x^3 - x^2 + 2x
HELP ASAP Angle FGH is a central angle, what is the measure of FH A. 54° B. 108° C. 145° D. 216°
Answer:
A
Step-by-step explanation:
We can calculate this using circle theorems
The correct circle theorem to use here is that angle at center is 2 times angle at circumference
The angle we want to calculate here is the angle at circumference but we were given the angle at the center
So the value of the angle at the circumference would be 108/2 = 54
If A and B are two random events with probabilities of P(A) = 1/4 P(B) = 3/8 P(A ∩ B) = 1/5 calculate P(A|B).
Answer:
P(A|B) = 8/15
Step-by-step explanation:
Mathematically;
P(A|B) = P(A ∩ B)/P(B)
Thus we have
P(A|B) = 1/5 divided by 3/8
= 1/5 * 8/3 = 8/15
Frank is going to an amusement park that costs $36.00 for admission. Treats cost $4.00 each. Frank does not want to spend more than $52.00 in all.
Solve for x, where x equals the number of $4.00 treats Frank can buy.
A. x=3
B. x>4
C. x≤4
D. x<14
Answer:
B: x>4
Step-by-step explanation:
You want to make an inequality first:
36+4x>52
4x + 36 − 36 > 52−36
4x > 16
4x ÷ 4 > 16 ÷ 4
x > 4
Please help me to solve this question.
Answer:
[tex]314 \frac{2}{7} cm^{2} [/tex]
Step-by-step explanation:
Surface area of sphere= 4πr², where r is the radius of the sphere.
Given that the diameter is 10cm,
2(radius)= 10cm
radius= 10 ÷2
radius= 5cm
Surface area of sphere
[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]
Which statements are true regarding the diagram? Check all that apply.
The side opposite the 60° angle has a length of
The side opposite the 60° angle has a length of .
sin(60°) =
sin(60°) =
The other acute angle of the triangle is 30°.
Answer:
A. The side opposite the 60° angle has a length of √3/2
C.Sin(60°)=√3/2
E.The other acute angle of the triangle is 30°
Step-by-step explanation:
The diagram has been attached to the answer
A. The side opposite the 60° angle has a length of
B. The side opposite the 60° angle has a length of .
C. sin(60°) =
D. sin(60°) =
E. The other acute angle of the triangle is 30°.
Answer
The side opposite the 60° angle has a length of the square root of 3/2
Opposite side of the 60° angle has a length of √3/2
sin(60°) = the square root of 3/2
Sin(60°)=√3/2
The other acute angle of the triangle is 30°
Proof:
Total angle in a triangle=180°
180°-60°-90°
=30°
Answer:
A, D, E
Step-by-step explanation:
I do is big smart
The pic is here , just the question wouldn’t show up right. Any help ?
Answer:
its 4√2i i think
Step-by-step explanation:
Answer:
Answer:B
Step-by-step explanation:
please help me this is all due tomorrow!!!!!
Answer:
5
Step-by-step explanation:
Using Pythagoras' identity
The horizontal distance between A and B is 3 units
The vertical distance between A and B is 4 units
Thus
AB = [tex]\sqrt{3^3+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
w much a quantity changes
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
As demand decreases, costs generally increase.
As supply decreases, prices increase
The average rate of change describes
As demand rises, the price of the product decreases.
te increases.
Answer:
Statements 1,3 and 4 are correct
Step-by-step explanation:
We want to select the three correct statements as related to demand and supply.
Statement 1 is correct
An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease
Statement 2 is incorrect
A decrease in demand should drive down the prices of commodities for normal goods
Statement 3 is correct
A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods
Statement 4 is correct
An increase in demand would make suppliers increase the price they place on their commodities.
PLEASE HELP ASAP FOR ALGEBRA 1 Mr Reder has just robbed a bank and is trying to escape on foot. He is currently 3 miles from the bank and running at 5 miles per hour. Write an equation to model how far from the bank Mr Reder is after a certain amount of time has passed. How far has he gone after 3 hours? Draw an appropriate graph for this equation.
Answer:
He has ran 15 miles and passed the bank 12 miles from his location where he is at.
Step-by-step explanation:
WHY WAS HE ROBBING A BANK?????????
Answer:
Step-by-step explanation:
His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.
After 3 hours he has gone 5(3)+3 miles, or 18 miles
Help !!!! Match the written mathematical operation to the equivalent symbolic form
Answer:
The matched pairs are:
(A, 4), (B, 1), (C, 2) and (D, 3)
Step-by-step explanation:
The complete question is:
Match each description of an algebraic expression with the symbolic form of that expression :
A. 2 terms; variables = x and y
B. 3 terms; variables = x and y; constant = 3
C. 2 terms; variable = x; constant = 4.5
D. 3 terms; variables = x and y; constant = 2
1. x - 2y + 3
2. 4.5 - 2x
3. 4.5x + 2 - 3y
4. 4.5y - 2x
Solution:
A. 2 terms; variables = x and y ⇒ 4. 4.5y - 2x
B. 3 terms; variables = x and y; constant = 3 ⇒ 1. x - 2y + 3
C. 2 terms; variable = x; constant = 4.5 ⇒ 2. 4.5 - 2x
D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y
Study the following figure, where two concentric circles share center C.
Segment AB is a diameter of the larger circle.
Segment AB intersects a chord of the smaller circle, PQ, at a right angle at point Z.
Segment AB intersects a chord of the larger circle, MN, at a right angle at point 0.
If MO=7x-4, and NO=6x, what is the length of MN
Answer:
Length of MN = 48 units
Step-by-step explanation:
AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).
Theorem says,
"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."
Therefore, MO ≅ ON
m(MO) = m(ON)
7x - 4 = 6x
7x - 6x = 4
x = 4
m(MN) = m(MO) + m(ON)
= (7x - 4) + (6x)
= 13x - 4
= (13 × 4) - 4
= 52 - 4
= 48
Length of chord MN will be 48 units.
Can someone help me with this question please.
Answer: The total number of vehicles in the bar graph does not add up to 30.
The spacing between the bars should be equal.
It would be helpful to put the number of each type at the top of its bar.
It may be useful to give the location and time/date of the observation in the title of the graph.
Step-by-step explanation: The total 12 + 8 + 6 = 26.
My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.
a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the son in years
I would start by setting up a chart like I did below.
Label one column age now and the other age in 5 years.
Since we don't know the son's age we use x.
We do know that the man's age is 4 times the son's age.
So the man's age will be 4x.
In the age in 5 year column, we add 5 to their current ages.
Now set up our equation.
Since it says "in five years" we use information in second column.
In 5 years time, he, "4x + 5", will be, equals,
3 times as old as his son, "3(x + 5)".
So we have 4x + 5 = 3(x + 5).
Solving from here, we find that x = 10.
So the son is 10 and the man is 4 times his age or 40.
Josie ran a lap in 45.23 seconds.
Erica ran a lap in 43.11 seconds. How
much longer did it take Josie to rut
the lap?
Answer: 2.12 seconds
Step-by-step explanation:
From the question, we are informed that Josie ran a lap in 45.23 seconds while Erica ran a lap in 43.11 seconds.
To calculate the extra amount of time it took Josie to complete the lap, we subtract Erica's time from Josie's time. This will be:
= 45.23 seconds - 43.11 seconds
= 2.12 seconds
find the height of a tree whose shadow is 42m long when the shadow of a man 1.8m tall is 2.4m long
Answer:
The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:
3 : 4 = x : 42
3 * 42 = 4x
x = 3 * 42 / 4 = 31.5
1 point
5) Malia earns $3,567 each month. She spends $2,895 each month and
saves the rest of her money. Select the equation that represents how much
is left over that she is able to save each month.
$3,567 - $2,895 = $6,462
$3,567 + $2,895 = $6,462
0 $3,567 - $2,895 = $672
O $3,567 + $2,895 = $672
1 point
roconts equivalent fractions? *
Answer:
C
Step-by-step explanation:
She earns $3,567 and spends $2,895. That means that $2,895 is taken away from how much she earns each month. Subtraction is the correct operation, cancelling out choices B and D
$3,567 - $2,895
Now, you need to figure out the answer to the above problem. Choice C is your answer.
$3,567 - $2,895 = $672
A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk
Answer:
336 feet²
Step-by-step explanation:
If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².
If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².
To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².
Hope this helped!
A vertical translation is used to move triangle DEH onto triangle D’E’H’.
Use the drop-down menus to describe the vertical translation used.
Answer this:
•vertical translation: Triangle DEH is translated —— units ——.
Answer:
5 units in the positive y-axis
Step-by-step explanation:
In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.
Step one: Pick a corner of the triangle.
For this, we can pick corner D and note its position on the graph
Step two: Count the number of squares between point D and D'.
Once we count this, we can see that there are 5 square spaces between D and D'.
Step Three: Repeat the process for the other two corners of the rectangle.
If the square spaces counted are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units
g(x)=5-2x what is the domain of g
Answer:
all real values of x
Step-by-step explanation:
The domain of g is the values that x can take
There are no restrictions on the values that x can take
Answer:
[tex]\boxed{\mathrm{E}}[/tex]
Step-by-step explanation:
[tex]g(x)=5-2x[/tex]
The domain of a function is the set of all possible inputs for the function.
The value of [tex]x[/tex] can be all real numbers,
There are no restrictions on the value of [tex]x[/tex].
I WILL MARK BRAINLIEST IF YOU ARE RIGHT please help me ive been stuck on this ever since monday haha im not sure how to do it thanks!
I'll remember some concepts:
[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]
Question:
[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]
The negative solution cant exist since we are talking about logarithms.
find the solution(s) to x^2-12x+36=0
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
(x - 6)² = 0
x - 6 = 0
x = 6
Hope this helps! :)
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
Factor left side.
(x - 6)² = 0
Set factor equal to 0.
x - 6 = 0
x = 6
HELP ME PLEASE AND THANKS :) <3
Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it?
Answer:
Step-by-step explanation:
Probability is expressed as
Number of favorable outcomes/total number of possible outcomes
From the information given,
Total number of outcomes = 16
Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15
This means that the number of favorable outcomes is 5
Therefore, the probability that the card has a multiple of 3 on it is
5/16 = 0.3125
Find the total surface area in square kilometers, of the 3-dimensional
figure shown below.
Enter only a number as your answer.
[tex]\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\[/tex]
What is the range of the function?
1
2
2
3
9
4
16
A. (2, 4, 9, 16)
B. {1, 2, 3, 4, 9, 16)
c. {1, 2, 3, 4)
D. {1,2}
Answer:
Im pretty sure its B
Step-by-step explanation: