Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value of s and the length of side BC if ABCD is a rhombus? S = AB = units
Answer:
s=45 UnitsLength of side BC=434 UnitsStep-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
s=45 UnitsRecall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
Therefore, the length of side BC=434 UnitsAnswer:
s=45
ab=434
Step-by-step explanation:
Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w
Answer:
The original price of the food items was 24.
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 7:59 a m there were 15 texts, 8 to 9:59 a m: 5, 10 a m to 11:59 p m: 0, 12 p m to 1:59 p m: 0, 2 p m to 3:59 p m: 0, 4 to 5:59 p m: 29, 6 to 7:59 p m: 19, 8 to 8:59 p m, 14, 10 p m to 11:59 a m: 5 The histogram shows the number of text messages sent by two high school juniors on one Monday. Which statement most reasonably explains the hours when 0 texts were sent? The students were asleep and did not have phones turned on. The students only had 100 text messages available. The students were in school and were not allowed to text. Texting is done in clusters.
Answer:
Answer: I think c,e
Answer: The students were in school and were not allowed to text
The time-span from 10 AM to 3:59 PM is when 0 messages were sent in total. This is likely the duration of either the entire school day or much of it. So it's likely the school does not allow texting or does not allow phones to be in use.
What is the equation of the line that passes through the points (1, –1) and (3, –7)
Answer:
y = -3x + 2
Step-by-step explanation:
To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2
Answer:
-3x+2=y
Step-by-step explanation:
u need to find the slope intercept formula which mx+b=y
m=slope
b=y-intercept
first u should find the slope which is y2-y1/x2-x1
point 1:(1,-1)
point 2:(3,-7)
-7+1/3-1=-6/2=-3
m=-3
now replace the variables
-3(1)+b=-1
-3 times 1=-3
-3+b=-1
add 3 to both sides
b=2
now the equation is -3x+2=y
This is the last one!!!
Answer:
B
Step-by-step explanation:
the mean goes up more than the median
A basketball team wants to paint half of a free-throw circle grey. If the radius of the free-throw circle is 5.4 feet, what is the area that will be painted grey? Use 3.14 for , and round to the nearest square foot.
Answer:
The area which would be painted grey will be "47.7812 ft²".
Step-by-step explanation:
The given values are:
Radius of circle, r = 5.4 feet
Value of pi, π = 3.14
As we know,
Area of Semicircle = [tex]\frac{\pi r^2}{2}[/tex]
On putting the values in the above formula, we get
= [tex]\frac{3.14\times (5.4)^{2}}{2}[/tex]
= [tex]\frac{3.14\times 29.26}{2}[/tex]
= [tex]\frac{91.5624}{2}[/tex]
= [tex]45.7812 \ ft^2[/tex]
State the order and type of each transformation
of the graph of the function
f(x) = (5(x - 1)) 3 - 2 as compared to the graph
of the base function.
Answer:
Graph.
f(x)=5(x−1)3−2
Step-by-step explanation:
What is the sum of the interior angles of the polygon shown below?
Answer:
360
Step-by-step explanation:
Formula
Sides -2 ×180
4-2=2×180=360
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the line of symmetry?
Answer:
see attachement
Step-by-step explanation:
What is the surface area of the prism
A. 812
B. 1,190
C. 2,352
D. 132
Answer:
B. 1,190 square cm
Step-by-step explanation:
For given prism:
l = 16 cm, w = 7 cm, h = 21 cm
Surface area of of the prism
[tex]= 2 (lw + wh + hl) \\ = 2(16 \times 7 + 7 \times 21 + 21 \times 16) \\ = 2(112 + 147 + 336) \\ = 2 \times 595 \\ = 1190 \: {cm}^{2} \\ [/tex]
PLEASE HELP!
On a standardized exam, the scores are normally distributed with a mean of 155 and a standard deviation of 20. Find the z-score of a person who scored 145 on the exam.
Answer:
-0.5
Step-by-step explanation:
z-score = (x- mean)/SD
(145-155)/20 = -10/20 = -0.5
Answer:
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{155-190}{20}
z=
20
155−190
Plug in values
z=\frac{-35}{20}
z=
20
−35
Subtract
z=-1.75
z=−1.75
Divide
\text{They scored 1.75 standard deviations below the mean.}
They scored 1.75 standard deviations below the mean.
i need help asap! anyone know this?
Answer:
1 = 0
12x12 = 4
100=1
I think the last one is also 1
Step-by-step explanation:
At a particular supermarket, 80 percent of customers have the supermarket club card. Determine the probability that, in a random sample of 10 customers: a. Exactly 4 customers have the supermarket club card. B. At most 2 customers have the supermarket club card. C. At least 7 customers have the supermarket club card.
Answer:
a) 0.55% probability that exactly 4 customers have the supermarket club card.
b) 0.01% probability that at most 2 customers have the supermarket club card.
c) 87.91% probability that at least 7 customers have the supermarket club card.
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have the supermarket club card, or they do not. The probability of a customer having the supermarket club card is independent of other customers. So we use the binoial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
80 percent of customers have the supermarket club card.
This means that [tex]p = 0.8[/tex]
10 customers.
This means that [tex]n = 10[/tex]
a. Exactly 4 customers have the supermarket club card.
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{10,8}.(0.8)^{4}.(0.2)^{6} = 0.0055[/tex]
0.55% probability that exactly 4 customers have the supermarket club card.
B. At most 2 customers have the supermarket club card.
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = 0) = C_{10,0}.(0.8)^{0}.(0.2)^{10} \cong 0[/tex]
[tex]P(X = 1) = C_{10,1}.(0.8)^{1}.(0.2)^{9} \cong 0[/tex]
[tex]P(X = 2) = C_{10,2}.(0.8)^{2}.(0.2)^{8} = 0.0001[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0001 = 0.0001[/tex]
0.01% probability that at most 2 customers have the supermarket club card.
C. At least 7 customers have the supermarket club card.
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = 7) = C_{10,7}.(0.8)^{7}.(0.2)^{3} = 0.2013[/tex]
[tex]P(X = 8) = C_{10,8}.(0.8)^{8}.(0.2)^{2} = 0.3020[/tex]
[tex]P(X = 9) = C_{10,9}.(0.8)^{9}.(0.2)^{1} = 0.2684[/tex]
[tex]P(X = 10) = C_{10,10}.(0.8)^{10}.(0.2)^{0} = 0.1074[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2013 + 0.3020 + 0.2684 + 0.1074 = 0.8791[/tex]
87.91% probability that at least 7 customers have the supermarket club card.
Evaluate 9 − b 9−b9, minus, b when b = 8b=8b, equals, 8.
Answer:
the way you wrote the question is confusing. Please right it in better wording or with line breaks
Step-by-step explanation:
The volume of a cube depends on the length of its sides. This can be written
in function notation as (s). What is the best interpretation of (4) = 64?
What is central tendency??
Answer:
central tendency is the tendency for the values of a random variable 2 cluster round it's mean,mode amdedian
Step-by-step explanation:
it's also called center/location of the distribution
Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answer:
A=264
Step-by-step explanation:
Problem
A group of people attended a party.
When they danced as couples, one person was left
over.
When they danced in threes, one person was left over.
When they danced in fours, one person was left over.
When they danced in fives, one person was left over
How many people
were at the party?
Answer:
301
Step-by-step explanation:
x: 3 5 6 10
y: 45 84 116 372
What is the result if the best fit exponential model for the following data set was used to predict the output when x=15?
A) 593
B) 783
C) 1284
D) 1693
help me fill this out thanks
Answer:
10
Step-by-step explanation:
We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.
Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.
Manipulating two of our equations, preferably the equations with the variables b and c, we can get [tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex] and solving for c, which is p in this case, will give us [tex]c=\frac{bsin(C)}{sin(B)}[/tex]
Plugging in the numbers we have gives us [tex]c=\frac{5sin(90)}{sin(30)}[/tex] = 10 mi
UV and RV are secant segments that intersect at point V.
Circle C is shown. Secants U V and R V intersect at point V outside of the circle. Secant U V intersects the circle at point T, and secant R V intersects the circle at point S. The length of U V is 12, the length of T V is a, the length of R S is 5, and the length of S V is 4.
What is the length of TV?
1 unit
1Two-thirds units
2One-half units
3 units
Answer:
(D)3 units
Step-by-step explanation:
To find the value of a, we use the Theorem of Intersecting Secants.
Applying this to the diagram, we have:
UV X TV = RV X SV
12 X a=(5+4)*4
12a=9*4
12a=36
Divide both sides by 12
a=3 units.
The correct option is D.
By applying the Theorem of Intersecting Secants, the length of TV (a) is equal to: D. 3 units.
What is the Theorem of Intersecting Secants?The Theorem of Intersecting Secants states that the product of a secant and its external secant is equal to the product of the other secant and its external secant, when two (2) secants are drawn to a circle from an exterior (outside) point:
How to determine the length of TV?In order to determine the length of TV (a), we would apply the Theorem of Intersecting Secants as follows:
UV × TV = RV × SV
12 × TV = (5 + 4) × 4
12TV = 9 × 4
12TV = 36
TV = 36/12
TV = 3 units.
Read more on Intersecting Secants here: https://brainly.com/question/1626547
#SPJ2
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
3, 15/2, 75/4, .....
Find the 8th Term
Answer:
Step-by-step explanation:
First term is 3
common difference = 15/2 divided by 3 = 5/2
8th term = a * r^7
3 * (5/2)^7 = 1,831.0546875
To the nearest thousandth 1,831.055
a square has 2x+3. if a rectangles made up of three of these squares , which expression would represent the perimeter of the rectangle ?
Answer:
The perimeter of the rectangle that contains the 3 squares is 24x + 36 units
Step-by-step explanation:
Here, we have a square with side length 2x + 3
The perimeter of this square would be calculated using the mathematical formula;
P = 4L
P = 4(2x + 3) = 8x + 12 units
Now, this particular rectangle is composed of three of these squares.
The expression which would represent the perimeter of the rectangle is equal to the sum of the perimeters of the 3 squares.
That would be 8x + 12 + 8x + 12 + 8x + 12 or simply 3(8x + 12) = 24x + 36
In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?
A. 8°
B. 9°
C. 16°
D. 18°
Answer:
C
Step-by-step explanation:
Answer:
A. 8
Step-by-step explanation:
#platolivesmatter
What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.
Answer:
The solutions are 7π/6 and 11π/6Step-by-step explanation:
Given the equation sec(x)cot(x)= -2 on the interval [0,2π]. In order to get the value of x, the following steps must be followed.
sec(x)cot(x)= -2
From trigonometry identity, sec(x)= 1/cos(x) and cot(x)= 1/tan(x) = cos(x)/sin(x)
subsituting this expressions in the given equation we have;
1/cos(x)*cos(x)/sin(x) = -2
1/sin(x) = -2
sin(x) = -1/2
[tex]x = sin^{-1}-1/2\\ x = -30^{0}[/tex]
Since sin is negative in the 3rd and 4th quadrant,
In the 3rd quadrant, x = 180+30 = 210°
In the 4th quadrant, x = 360-30 = 330°
Converting the values to radian;
since 180° = πrad
210° = 210π/180 rad
210° = 7π/6 rad
Similarly, 330° = 330π/180 rad
330° = 11π/6 rad
The solutions are 7π/6 and 11π/6
What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2
Answer:
Period = 8π
Phase shift = 2π/3
Amplitude = 1/2
Vertical shift = 2
Step-by-step explanation:
y = A sin((2π/T)θ − B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the vertical shift.
y = ½ sin(¼θ − 2π/3) + 2
So A = 1/2, T = 8π, B = 2π/3, and C = 2.
What is 2.95 expressed as a fraction?
33640
40118
11880
5920
Answer:
59/20
Step-by-step explanation:
good luck 8th grade k-12-ers!
Please Help me now plz
Answer:
On the circle
Step-by-step explanation:
The distance between D and G is:
[tex]\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}[/tex]
If point J is not exactly this far, then it is not on the circle.
[tex]\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}[/tex]
Therefore, it is on the circle. Hope this helps!
Calculate the reciprocal of - 0.07, correct to 1 decimal Place
Answer:
The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75 ...
Answer:
The answer would have four decimal places and this is because when multiplying figures with decimals, the final result (the product) usually has the combination of decimal places of all values multiplied. Since 3.93 has TWO decimal places and 0.07 has TWO decimal places as well, the product of both numbers would have a combined total of FOUR decimal places.
So the correct answer is not 4, but rather the answer is 0.2751 (with FOUR decimal places)
Step-by-step explanation:
trust.
Please help!!!!!!!!!!!!!!!!!
Answer:
tan Z = 3/4
Step-by-step explanation:
[tex] \tan(Z) = \frac{21}{28} \\ \tan(Z) = \frac{3}{4} [/tex]
