Answer:
5.74
Step-by-step explanation:
The value of AC in the given right triangle is 5.74 units.
What is Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².
Given that, the right triangle ABC, AB = 4 and BC = 7.
According to Pythagoras theorem,
AC² = AB²+BC²
AC² = 7²+4²
AC = √33 = 5.74
Hence, The value of AC in the given right triangle is 5.74 units.
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Below are two parallel lines with a third line intersecting them.
Answer:
56
Step-by-step explanation:
they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56
A person runs 1/4 mile in 1/28 hour. What is the persons speed
Answer:
7
Step-by-step explanation:
speed x time = distance
? x time = distance
1/28x = 1/4
1/28x 1/4
_____ = _____
1/28 1/28
1/4 ÷ 1/28
(reciprocal method) 28/1
1/4 × 28/1 (change the equation into multiplication)
1/4 × 28/1 = 28/4 (multiply)
(Simplify) 28/4 ---> 7/1 or 7
final answer:
The persons speed would be 7.
what is the right answer
=================================================
Explanation:
Angle B = 90 degrees, and the side opposite this is the hypotenuse AC = 10.
Angle C = 30, and the side opposite this smallest angle is AB. For now we'll call this x.
It turns out that for any 30-60-90 triangle, the hypotenuse is twice as long as the short leg. So if x is the short leg, then 2x is the hypotenuse.
Set 2x equal to the given hypotenuse 10 and solve for x
2x = 10
x = 10/2
x = 5
That makes AB = 5.
In other words, we cut the hypotenuse in half to get the length of the shorter leg.
4x2 + 3 = -7x
solve for x
x=_,_
[tex]\displaystyle\bf 4x^2+3=-7x\\4x^2+7x+3=0 \\\\D=49-48=1 \\x_1=\frac{-7+1}{8} =-\frac{3}{4} \\x_2=\frac{-7-1}{8} =-1\\\\Answer: \boxed{ x_1=-\frac{3}{4} \quad ; \quad x_2=-1}[/tex]
Cho tập hợp S gồm 100 số tự nhiên từ 1 đến 100 .Chọn ngẫu nhiên 2 số từ tập hợp S , tính xác suất để tích 2 số chia hết cho 5
Answer:
mjhghjmkvgk,lm
Step-by-step explanation:
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9. Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Answer:
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
Step-by-step explanation:
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.
O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.
Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
Find two integers whose sum is -11 and product is 18
Answer:
-9 and -2Step-by-step explanation:
As,
Sum = - 9 + (-2) = -11
Product = -9 × (-2) = 18
A shop owner spent $540 to purchase a stock of computer keyboards. If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards. Find the price of one keyboard.
Answer:
Price before discount = $20 per keyboard
Price after discount = $18 per keyboard
Before the discount, you can buy 27 keyboards. After the discount, you can buy 30 keyboards.
===============================================
Work Shown:
k = cost of one keyboard before the price reduction
540/k = amount of keyboards purchased before the price reduction
k-2 = cost of one keyboard after the price reduction
540/(k-2) = amount of keyboards purchased after the price reduction
540/(k-2) = (540/k) + 3
--------------
If you multiply both sides by the LCM k(k-2), then you'll clear out the fractions and we can solve for k like so
540/(k-2) = (540/k) + 3
540k = 540(k-2) + 3k(k-2)
540k = 540k - 1080 + 3k^2 - 6k
0 = 540k - 1080 + 3k^2 - 6k - 540k
0 = 3k^2 - 6k - 1080
3k^2 - 6k - 1080 = 0
3(k^2 - 2k - 360) = 0
k^2 - 2k - 360 = 0
(k - 20)(k + 18) = 0
k-20 = 0 or k+18 = 0
k = 20 or k = -18
We ignore the negative result because a negative price doesn't make sense.
--------------
If k = 20, then
540/k = 540/20 = 27
Meaning that you can buy 27 keyboards before the price reduction
In other words, (27 keyboards)*(20 dollars per keyboard) = 540 dollars total.
After the price reduction, the cost per keyboard is now k-2 = 20-2 = 18
We can now buy 540/(k-2) = 540/18 = 30 keyboards, which is an increase of 30-27 = 3 extra keyboards. This helps confirm we have the correct answer.
Answer:
$20
Step-by-step explanation:
X: the price of a keyboard
Y: number of keyboards to buy (original)
The shop owner spent $540 to purchase a stock of computer keyboards, so:
XY=540
⇒X=540/Y
If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards:
(X-2)(Y+3)=540
⇒3X-2Y=6
⇒3.540/Y – 2Y=6
⇒Y=27
⇒X=20
⇒ the price of one keyboard: $20
Write the exact value of the side length of a square with an area of
100 square units,
95 square units.
36 square units.
30 square units.
Which property is represented by the equation shown below? (6 x 3) x 2 = (3 x 6) x 2.
Answer:
I'm pretty sure it's Distributive property
Step-by-step explanation:
I think this because on the outsides of the parenthesis you can distribute the 2 to the other numbers.
To be considered abnormal height a 30 year old must be 1.2 feet below average or 1.2 feet above
average. If the average height is 5.1 feet, at what heights (in interval notation) would a 30 year old
be considered abnormal?
M
Answer:
The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).
Step-by-step explanation:
Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.
Hope this helped!
What is the median for this set of data?
28, 32, 15, 19, 24, 26, 22, 32, 30
Step-by-step explanation:
according order 15 , 19,22, 24,26,28,30,32,32. answer is 26
Answer:
Hello There!!
Step-by-step explanation:
26 is the median as you order the numbers smallest to largest.Therefore,it is 15,19,22, 24, 26,28,30,32,32 and the amount of numbers are odd so the median is the middle number.If it was even the two middle numbers would be added together and then divided by 2.
hope this helps,have a great day!!
~Pinky~
What are the more appropriate measures of center and spread for this data set?
Answer:
Better measure of spread: The Interquartile Range
Better measure of center: The median
Step-by-step explanation:
I've done the quiz and got it correct:)
Figure VWYX is a kite.
3
(18x-2)
V
Y
(12x+2)
х
Answer:
18X-2+12X+2=360-180
30X=180
X=6
The value of the variable x is 6, in the given rhombus.
What are the properties of the rhombus?A quadrilateral having the following characteristics is called a rhombus:
The lengths of the four sides are equal.Parallel sides are situated next to one another.Angles that are opposite each other are equal (i.e., they have the same measure).The diagonals form a right angle split across one another.Each diagonal is the same length.From the properties of a rhombus,
The sum of all angles is 360°.
Thus, in the given case,
18x-2+12x+2+ 90° +90° = 360°
18x- 2 + 12x +2 = 180°
30x = 180
x = 6
Therefore, the value of the x is 6.
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pls help me with this math problem
Answer:
The four rational numbers between [tex]-\frac{1}{2}[/tex] and [tex]\frac{1}{2}[/tex] can be:
[tex]-\frac{1}{3}[/tex][tex]-\frac{1}{4}[/tex][tex]\frac{1}{5}[/tex][tex]\frac{1}{7}[/tex]Step-by-step explanation:
The definition of rational numbers is usually a number of the type a/b where b is different from zero, therefore, to choose the numbers that are between -1/2 (= -0.5) and 1/2 (= 0.5) it is enough with choose fractional numbers whose dividend is 1 and its divisor is any number greater than 2, either negative or positive, in the answer we choose options such as 1/7 or -1/3, but following the guide I give you, you could choose numbers like 1/16, -1/9 or 1/40 if you wish, always respecting the guidelines given for the dividend and the divisor.
The vertices of the parallelogram below are given. Use matrices to find the area.
A (0, 0) B (-2, 3) C(4, -1) and D(2, 2) HELP PLEASE HURRY
Answer:
B
Step-by-step explanation:
There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that the number of rows is equal to the number of columns. How many students are left out in this arrangement?
Answer:
5 students are left out in the arrangement.
Step-by-step explanation:
If the number of rows = the number of columns
Then there must be an equal arrangement
Since the total number of students in the school is 2121
Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121
Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement
so, √2121 = 46.05 (so 46 would be used)
= 2121 - (46 X 46)
= 2121 - 2116 = 5
Therefore 5 students are left out in the arrangement.
Find the circumference for the circle. use 3.14 for pi
A. 25.12 m.
B. 12.56 m.
C. 7.14 m.
D. 50.24 m.
Answer: 50.24
Step-by-step explanation:
=3.14x4 squared
=3.14x16
=50.24
Find a, b and c for the function x^2 + 2x - 6 = 0
I’m struggling in finding the nearest cent, May you please help me
Answer:
$88.48
Step-by-step explanation:
First, we can check the formula for compound interest, which is
[tex]A = P (1 + r)^{n}[/tex] , with A representing the end amount, r representing the interest rate, and n representing the amount of times compounded. We know that the interest rate is 9% (to convert this to a decimal, we can divide it by 100, resulting in 0.09), the end amount is 700, and the amount of times compounded is however many months are in 2 years (there are 12 months per year, and 12 *2 = 24, so 24 times).
Thus, our equation is
[tex]700 = P (1 + 0.09)^{24}\\700 = P (7.911083)\\[/tex]
Divide both sides by 7.911083 to isolate P, and we get
P = 88.48 (rounded to the nearest cent)
The area of a rectangular parking lot is 3960 m²
If the length of the parking lot is 72 m, what is its width?
Answer:
3816m
Step-by-step explanation:
72 + 72= 144
8960 - 144= 3816
In the diagram of a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.
Answer:
The measure of the angle ACB is 59°.
Step-by-step explanation:
Let be [tex]D[/tex] the location of the center of circle and [tex]r[/tex] is the radius of the figure, the triangles ACD and BCD are isosceles triangles, since [tex]AD = CD = BD = r[/tex]. And the measure of the angle C associated with each triangle are, respectively:
Triangle ACD
[tex]m\angle C = \frac{180^{\circ}-89^{\circ}}{2}[/tex]
[tex]m\angle C = 45.5^{\circ}[/tex]
Triangle BCD
[tex]m \angle C = \frac{180^{\circ}-153^{\circ}}{2}[/tex]
[tex]m\angle C = 13.5^{\circ}[/tex]
Lastly, the measure of the angle ACB is:
[tex]m\angle ACB = 45.5^{\circ} + 13.5^{\circ}[/tex]
[tex]m\angle ACB = 59^{\circ}[/tex]
The measure of the angle ACB is 59°.
Eric kept a record of the number of hours it rained each day from Monday to Saturday in a particular week. This information was shown through the following Bar Graph.
How does the Bar Chart misrepresent the data?
A. The scale along the vertical axis is divided into unequal intervals.
B. The categories along the horizontal axis are missing Friday.
C. The widths of the bars are not equal.
D. The heights of the bars representing Monday and Thursday are not same.
Answer:
The answer is B because the title says each day but Friday is missing. Also, the graph is not set up properly as they should be closer together so it could possible be C but, I doubt it.
Answer:
B. well its just not there
Abigail invested $130 in an account paying an interest rate of 4 5 8 4 8 5 % compounded continuously. Hunter invested $130 in an account paying an interest rate of 4 7 8 4 8 7 % compounded daily. To the nearest hundredth of a year, how much longer would it take for Abigail's money to triple than for Hunter's money to triple?
Answer: 1.22 years
Step-by-step explanation: see photos attached.
Help me ASAP please
Answer:
I think its D because if it has the parentheses then that would mean that it would go right or left
Evaluate expressions-Match each expression to another expression with the same value
Answer:
24 / 3
8 x 50
53 x 7
Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement. (a) Suppose I draw n times. Let X., be the number of times I saw a green ball followed by a yellow ball. Calculate the expectation Ex, (b) Let y be the number of times I drew a green ball before the first white draw. Calculate E[Y]. Can you give an intuitive explanation for your answer
Answer:
[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]
[tex]E(y)=\frac{14}{9}[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size n=9
Number of Green [tex]g=4[/tex]
Number of yellow [tex]y=4[/tex]
Number of white [tex]w=4[/tex]
Probability of Green Followed by yellow P(GY) ball
[tex]P(GY)=\frac{4}{9}*\frac{3}{9}[/tex]
[tex]P(GY)=\frac{4}{27}[/tex]
Generally the equations for when n is even is mathematically given by
[tex]Probability of success P(S)=\frac{4}{27}[/tex]
[tex]Probability of Failure P(F)=\frac{27-4}{27}[/tex]
[tex]Probability of Failure P(F)=\frac{23}{27}[/tex]
Therefore
[tex]E(X_n)=\frac{n}{2}*P[/tex]
[tex]E(X_n)=\frac{n}{2}*\frac{4}{27}[/tex]
[tex]E(X_n)=\frac{2n}{27}[/tex]
Generally the equations for when n is odd is mathematically given by
[tex]\frac{n-1}{2}[/tex]
[tex]E(X_n)=\frac{n-1}{2}*\frac{4}{27}[/tex]
[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]
b)
Probability of drawing white ball
[tex]P(w)=\frac{2}{9}[/tex]
Therefore
[tex]E(w)=\frac{1}{p}[/tex]
[tex]E(w)=\frac{1}{\frac{2}{9}}[/tex]
[tex]E(w)=\frac{9}{2}[/tex]
Therefore
[tex]E(y)=[E(w)-1]\frac{4}{9}[/tex]
[tex]E(y)=[\frac{9}{2}-1]\frac{4}{9}[/tex]
[tex]E(y)=\frac{14}{9}[/tex]
In this lesson you will learn methods for finding the lengths of which of the following?
chords
arcs
radii
tangents
secants
radii...................
Answer:
RADI
Step-by-step explanation:
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
D, if graphed, it would show a straight line.
Step-by-step explanation:
Because the graph has a relationship (disproving A,) and has 5 cards per pack, (disproving B and C,) we can already rule out the answer choice.
Because the value is constant, (x = y(5)) it will be straight, thus giving you your answer. You can even graph the values for a clear representation.
If Allison wants to find 80% of 630, which table should she use?
20%
20%
Percent
20%
20%
20%
Total
100%
25%
Percent
25% 25%
25%
Total
100%
40%
Percent
40%
40%
Total
100%
Percent
8% 8% 8% 8% 8% 8% 8% 8% 8% 8% 8% 8%
Total
100%
Answer:
A. the first one
Step-by-step explanation:
The first one