Answers
Answer:
If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1
9/a = -1
a = -9
Answer:
-9
Step-by-step explanation:
flip and change the sign of [tex]\frac{3}{4}[/tex]
[tex]\frac{4}{-3}[/tex]
set equal to each other
[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]
cross multiply
4a = -36
divide by 4
a = -9
Related Questions
if the radius is 91cm what would be the diameter and circumference?
Answers
Answer:
C=3.14*91
D=91*2
C=285.74
D=182
Hope This Helps!!!
helpp
Plzzz
It’s
A
Question-
Steven earns extra money babysitting. He charges $29.00 for 4 hours and $50.75 for 7
hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
Answers
$50.00÷7hours=×$
$50.00÷7hours= 7.25
7.25 he charges per hour
Which has a larger area, a 4:3 aspect ratio 32 inch TV or a 16:9 aspect ratio 32 inch
TV? Find the side lengths of each of the TV's and the area of each TV to compare.
Explain your reasoning and show all mathematical calculations.
Answers
Answers:
The 4:3 tv has the larger areaThe 4:3 tv has width = 25.6 inches and height = 19.2 inches. The area is exactly 491.52 square inchesThe 16:9 tv has width = 27.8904 inches (approximate) and height = 15.68835 inches (approximate). The area is approximately 437.55 square inches.================================================
Explanation:
Let x be some positive real number
The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches
The ratio 4x:3x reduces to 4:3 after dividing both parts by x.
The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.
So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.
Apply the pythagorean theorem to find x
a^2+b^2 = c^2
(4x)^2+(3x)^2 = 32^2
16x^2+9x^2 = 1024
25x^2 = 1024
x^2 = 1024/25
x = sqrt(1024/25)
x = 32/5
x = 6.4
Recall that x is positive, so we ignore the negative square root here.
This 4x by 3x tv then has dimensions of
horizontal width = 4x = 4*6.4 = 25.6 inchesvertical height = 3x = 3*6.4 = 19.2 inchesThese values are exact.
The area is therefore base*height = 25.6*19.2 = 491.52 square inches
This of course only applies to the 4:3 tv that's 32 inches in diagonal.
-------------------------------
Now onto the 16:9 tv.
We'll follow the same steps as the last section. We'll use y this time
The 16:9 ratio becomes 16y:9y
a^2+b^2 = c^2
(16y)^2 + (9y)^2 = 32^2
256y^2 + 81y^2 = 1024
337y^2 = 1024
y^2 = 1024/337
y = sqrt(1024/337)
y = 1.7431510742491 which is approximate
y = 1.74315
So,
horizontal width = 16y = 16*1.74315 = 27.8904vertical height = 9y = 9*1.74315 = 15.68835area = base*height = 27.8904*15.68835 = 437.55435684the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches
-------------------------------
To recap, we found the following:
The 4:3 tv has width and height of 25.6 inches and 19.2 inches respectively. Those values are exact. The area is exactly 491.52 square inches.The 16:9 tv has width and height of approximately 27.8904 inches and 15.68835 inches respectively. The area is approximately 437.55 square inches.The 4:3 tv has larger area.If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?
Answers
Answer: $32.5
Step-by-step explanation:
Given
Greg needs 50 corns on the cobs
A package of 5 costs $3.25
For 50 corns, he needed 10 package
So, cost of 10 packages is
[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]
During a nature walk, Mary identified
24 species of animals and plants.
Mary said
1/5
of the species she identified were
animals. Can this be correct? Explain.
Answers
Answer:
No, it cannot be correct.
Step-by-step explanation:
1/5 of 24 is 4.8.
This would mean that Mary would have identified 4.8 animals.
This is logically incorrect, because the number of animals has to be a full number. There cannot be any decimals, or parts of animals.
So, this cannot be correct.
E)
The parallelogram WXYZ belwo is a rhombus. Find the measure of
angles 1, 2, 3, 4 and 5 given that angle WZY is 60°
w
2
3
1
4
Answer:
60
Answers
Answer:
1. 60°
2. 60°
3. 30°
4. 30°
5. 30°
Step-by-step explanation:
to find angleXYZ suntract 180 from 60
angle ZWX=120°
Angle WXY=60°
The diagnals divide the inteesections in half
Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?
Answers
Answer:
$72.15
Step-by-step explanation:
x= pounds of steak
$[tex]9.62x[/tex] = money spent on steaks
If Neil buys 7.5 pounds of steak then x =7.5
$9.62(7.5) = $72.15
Answer:
$72.15
Step-by-step explanation:
1 pound = $9.62
7.5 pounds = $9.62 × 7.5
= $72.15
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Answers
Answer:
x = -5; y = 4, z = 1
Step-by-step explanation:
Given the row echelon form as:
[tex]\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right][/tex]
This matrix can be represented as:
[tex]\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right][/tex]
Therefore:
z = 1
y - z = 3;
y = 3 + z = 3 + 1 = 4.
Hence, y = 4
x + 4z = - 1;
x = -1 - 4z = -1 - 4(1) = -5
x = -5
(a+b)(a-b)=? Đây là hằng đẳng thức nào?
Answers
Answer:
không
Step-by-step explanation:
Answer:
(a + b)(a - b) = a² - b²
Step-by-step explanation:
(a + b)(a - b) = a (a - b ) + b (a - b )
= a² - ab + ba - b² [ ab = ba ]
= a² - ab + ab - b² [ ab - ab = 0 ]
= a² - b²
Solve the inequality: 3x - 3 < 9
Answers
Answer:
[tex]x<4[/tex]
Step-by-step explanation:
Given:
[tex]3x-3<9[/tex]
Add 3 to both sides
[tex]3x<12[/tex]
Divide both sides by 3 to get x alone
[tex]x<4[/tex]
Hope this is helpful
Which is the Value if this expression when m = 3 and n = -5
Answers
A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3 of this distance in 10 minutes. What is the rate of the wind?
Answers
Answer:
The rate (or speed) of the wind is 40 meters per minute.
Step-by-step explanation:
Let's define:
S = speed (or rate) of the duck alone
S' = speed (or rate) of the wind.
When the duck travels with the wind, its speed is:
(S + S')
While when the duck travels against the wind, its speed is:
(S - S')
Also, remember the relation:
Distance = Speed*Time
ok, we know that the duck can travel a distance of 2400 m in 10 minutes with the wind, then:
2400m = (S + S')*10 min
And against the wind, it can travel 2/3 of that distance, then we can write:
(2/3)*2400m = (S - S')*10 min
Then we have a system of 2 equations:
2400m = (S + S')*10 min
(2/3)*2400m = (S - S')*10 min
We want to find the speed of the wind, then we want to find the value of S'.
To solve this, we first need to isolate S in one of the equations.
Let's isolate S in the first one:
2400m = (S + S')*10 min
2400m/10min = (S + S')
240 m/min = S + S'
240 m/min - S' = S
Now we can replace this in the other equation:
(2/3)*2400m = (S - S')*10 min
(2/3)*2400m = ( 240 m/min - S' - S')*10 min
Now let's solve this for S'
(2/3)*2400m/10min = 240 m/min - 2*S'
(2/3)*240 m/min = 240 m/min - 2*S'
2*S' = 240 m/min - (2/3)*240 m/min
2*S' = (1/3)*240 m/min
2*S' = 80 m/min
S' = (80 m/min)/2
S' = 40 m/min
The rate (or speed) of the wind is 40 meters per minute.
A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the number of times a player wins in for place what is the most probable value of X what is the probable that the player will win at least once
Answers
Answer:
0.6836 = 68.36% probability that the player will win at least once.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used 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.
25% chance of winning
This means that [tex]p = 0.25[/tex]
Plays the game four times
This means that [tex]n = 4[/tex]
What is the probability that the player will win at least once?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836[/tex]
0.6836 = 68.36% probability that the player will win at least once.
Please solve with explanation.
Answers
Answer:
Area = 160 cm²
Perimeter = 55.31 cm
Step-by-step explanation:
Applying,
Area of the figure = area of the rectangle- area of the triangle
A = lw+bh/2............... Equation 1
From the question,
Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm
Substitute these values into equation 1
A = (16×12)-(8×8/2)
A = 192-32
A = 160 cm²
Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/
Applying pythagoras theorem to get /FG/
FG² = GE²+EF²
FG² = 8²+8²
FG² = 64+64
FG² = 128
FG = √128
FG = 11.31 cm
Therefore,
P = 16+12+4+8+11.31+4
P = 55.31 cm
f(x) = 4x2 – 10x + 2
Find f(-7)
Answers
Answer:
f(-7) = 268
Step-by-step explanation:
f(x) = 4x^2 – 10x + 2
Let x = -7
f(-7) = 4(-7)^2 – 10(-7) + 2
Exponents first
f(-7) = 4(49) – 10(-7) + 2
Multiply
f(-7) = 196 + 70 + 2
f(-7) = 268
Step by step:
Find the length of the hypotenuse to the nearest tenth (example 4.5)
6
co
2
Answers
Answer:
hypotenuse = 6.3
Step-by-step explanation:
here 6 and 2 are the legs of the triangle . we are asked to find hypotenuse (longest side)
using pythagoras theorem
a^2 + b^2 = c^2
6^2 + 2^2 = c^2
36 + 4 = c^2
40 = c^2
[tex]\sqrt{40}[/tex] = c
6.32 = c
6.3 = c
What is the area of the shaded sector?
The measure of central angle XYZ is 1.257 radians.
O 101 units
O 207 units
O 40 units
O 80 units
N
8
X
Answers
The area of the sector of the given circle is: 40 units²
What is circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The set of all points on a plane that are a fixed distance from a center,
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
The circle is the shape with the largest area for a given length of perimeter.
Given the following:
r = 8
θ = 1.25 radians
Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)
Hence, the Area of sector = 40 units²
Learn more about the circles on:
https://brainly.com/question/29142813
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An object is experiencing an acceleration of 30 m/s2 while traveling in a
circle at a velocity of 3.7 m/s. What is the RADIUS of its motion?
Answers
Answer:
[tex]{ \tt{formular :}} \\ { \boxed{ \bf{centripental \: acceleration = \frac{ {v}^{2} }{r} }}} \\ \\ { \tt{30= \frac{ {3.7}^{2} }{r} }} \\ \\ { \tt{r = \frac{ {3.7}^{2} }{30} }} \\ \\ { \tt{radius = 0.456 \: meters}}[/tex]
Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
Answers
Please help I’ll give brainliest
Answers
Answer:
2 is the base
Step-by-step explanation:
2^3
2 is the base and 3 is the exponent
A) m + n
B) 0
C) m - 1
D) -(m+n)
Answers
the required answer is 2m- (m-n)(m-1)
Which graph shows a dilation?
Answers
Answer:
A
Step-by-step explanation:
Dialation means to get smaller but it has to stay the same shape and measurements tho.
(4p _ 2k)(3)
in distributive property
Answers
12p - 6k
3(4p) - 3(2k)
Answer:
12 p - 6k
Step-by-step explanation:
Let us assume that _ is meant to be minus sign.
( 4 p - 2k ) ( 3)
use the distributive property
3 × 4p - 3 × 2k
12 p - 6 k
The function h is defined by h (x) = 3x2 + 7.
Find h(5x).
h (5x) = ?
Answers
Answer:
h(5x) = 75x² + 7
Step-by-step explanation:
h(x) = 3x² + 7
h(5x) = 3(5x)² + 7
h(5x) = 3(25x²) + 7
h(5x) = 75x² + 7
[tex]h(5x) = 75x^2 + 7[/tex]
To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.
[tex]h(x) = 3x^2 + 7[/tex]
Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]
Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]
Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]
So, [tex]h(5x) = 75x^2 + 7[/tex]
To know more about substitute:
https://brainly.com/question/29383142
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PLZZ HELP WILL BRAINLIEST IF CORRECT!!!!
1. Andrea says that there are less numbers to the left side of 7 because the box plot is shorter on that side. Is she correct? Explain your reasoning,
2. Amber says that the data set is left-skewed because the box is farther to the left on the number line. Is she correct? Explain how you know.
Answers
Answer:
Both are wrong
Step-by-step explanation:
Though the box is shorter on the left side, it doesn't mean there are fewer numbers. Box plot tells the range, and not the mode. The box plot tells us that the interquartile range is higher on the right side.
Amber is wrong since the box plot is right-skewed
Pls vote as brainliest
We can conclude that:
1. Andrea is wrong, box plot doesn't imply mode.
2. Amber is wrong, the box plot is right-skewed.
What is a Box Plot?A box plot shows how a data is distributed or spread out.
If a data distribution is right-skewed, the median which is indicated by the vertical line that divides the rectangular box would be closer to the lower end of the box, and also if it has a shorter whisker to the left.
Also, if a data distribution is left-skewed, the median would be closer to the upper end of the box, and also if it has a shorter whisker to the right of the box.
The box plot shown is right-skewed.
Thus, we can conclude that:
1. Andrea is wrong, box plot doesn't imply mode.
2. Amber is wrong, the box plot is right-skewed.
Learn more about box plot on:
https://brainly.com/question/14277132
The measures of two complementary angles are represented by (2x) and (3x - 10)". What is the value of x?
Answers
Answer:
Step-by-step explanation:
2x + 3x - 10 = 90
Combine like terms
5x - 10 = 90
Add 10 to both sides
5x = 90+10
5x = 100
Divide both sides by 5
x =100/5
x = 20
a little bit of help here??
Answers
Answer:
balanced
Step-by-step explanation:
The upward force is 75+ 160 =235
The downward force is 235
The force is balanced since the upward force equals the downward force
petit high school has one thousand two hundred and fifty-two learners.the number of girls is three times more than the number of boys.how many girls are at petit high school
Answers
Answer:
939 girls
Step-by-step explanation:
Let us start by writing an equation. We can set the number of boys as x, and the number of girls as 3x since the number of girls is three times the number of boys:
Step 1, writing an equation:
[tex]1252=3x+x[/tex]
We will assume in this case, that the number of girls plus the number of boys adds up to the total number of learners at Petit High School
Step 2, solving the equation:
We can simplify the above equation and isolate the term containing x.
[tex]1252=4x\\x=313[/tex]
Step 3, determining values:
We know that we set # of boys as x and we have just solved for x. Therefore, there are 313 boys in the high school. We have set # of girls as 3x, so [tex]3*313=939[/tex] girls in the high schoolThere are [tex]\fbox{939}[/tex] girls at Petit High School.
I hope this helps! Let me know if you have any questions :)
Find the circumference of the circle. Round your answer to the nearest
hundredth.
Answers
Answer:
[tex]circumference = 25.13 \ cm[/tex]
Step-by-step explanation:
[tex]circumference = 2 \pi r = 2 \pi 4 = 8 \pi =25.13 \ cm[/tex]
find the volume of this cone. round to the nearest tenth. l=10 r-6
Answers
Answer:
376.8
Step-by-step explanation:
Formula Volume Cone = πr² * h/3
Volume = 3.14 * 36 * 3 1/3
Volume ≈ 376.8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 301.6
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answer above isn't right this is, trust me.
