Calculate the area of triangle WXY with altitude YZ, given W(2, −1), X(6, 3), Y(7, 0), and Z(5, 2). (6 points) 8 square units 9.4 square units 7.7 square units 12 square units
The area of triangle WXY with altitude YZ is: 8 square units.
Area of a TriangleArea = 1/2(base × height)
Altitude = height.
Given:
Base = WX = distance between W(2, −1) and X(6, 3):
Using distance formula, [tex]WX = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]:
[tex]WX = \sqrt{(3 - (-1))^2 + (6 - 2)^2}\\\\\mathbf{WX = 5.7 $ units}[/tex]
Altitude/height = YZ = distance between Y(7, 0), and Z(5, 2):
[tex]YZ = \sqrt{(0 - 2)^2 + (7 - 5)^2}\\\\\mathbf{YZ = 2.8 $ units}[/tex]
Area of triangle WXY = 1/2(WX × YZ)
Area of triangle WXY = 1/2(5.7 × 2.8) = 7.98
Area = 8 square units.
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Answer:8
Step-by-step explanation: test
A map has a scale of 1: 1250000. On a map, The cave of truth is 1.9cm away from the waterfall of dreams. How far away are they in real life?
Answer:
2,375,000
Step-by-step explanation:
From the question,
A map has a scale of 1: 1250000.
We are told that:
On a map, The cave of truth is 1.9cm away from the waterfall of dreams.
How far away are they in real life?
This is calculated as:
1 = 1250000
1.9 = x
Cross Multiply
x = 1.9 × 1250000
x = 2,375,000
Therefore, there distance in real life = 2,375,000
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Explain how to translate the statement into an equation. Use n for the variable.
Sixty-three is the product of nine and a number.
Answer:
9n=63
n=7
Step-by-step explanation:
Answer:
Replace the word "is" with an equals sign. Replace the word "product" with a multiplication sign. Replace the words "a number" with the variable n, to represent the unknown value. The equation is 63 = 9n.
Step-by-step explanation:
correct on edge
Help on both questions plz
Answer:
1. 109.5 . 2. 3.75
Step-by-step explanation:
1. 30% of 365 = 109.5
365-109.5 = $255.5
2. 15% of 25 = 3.75
Select the correct answer.
The time, t, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t=√2d/a
Which equation expresses d in terms of t and a?
A. d=2at^2
B. d=√2t/a
C. d=at^2/2
D. √a/2t
Answer:
(A)
Step-by-step explanation:
Option A. d=2at^2
720
Plato.
t=√2d/a
12=√2d/10
12²=(√2d/10)²
144=2d/10
2d=(144)(10)
d=1440/2
=720
Can an object accelerate if it's moving with constant speed?
Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.
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If we multiply a positive and a negative number, is the result positive or
negative?
Answer:
Negative
Step-by-step explanation:
It's negative because my math teacher said so a few years ago. Sorry for the not so great explanation... I didn't pay attention that day.
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Find the y-intercept of the line on the graph.
Enter the correct answer
Given:
The graph of a line.
To find:
The y-intercept of the line.
Solution:
y-intercept of a line is the point at which the line intersect the y-axis.
We have, graph of the line.
From the given graph it is clear that the line intersect the y-axis at (0,4).
So, y-intercept is at point (0,4).
y-intercept = 4
Therefore, the y-intercept is 4.
Find the value of x. help please!
HELP IM BEING TIMED ON THIS MATH EQATION.
Answer:
268mph
Step-by-step explanation:
hdjdjebshshdznsk
Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length
Answer:
3 1/3 feets
Step-by-step explanation:
Given that:
Height of aquarium = 1 3/4 feets
Area of aquarium = 5 5/6 ft²
The length of aquarium = x
Aquarium is shaped in the form of a rectangle :
Area of a rectangle = Length * width
5 5/6 = x * 1 3/4
35/6 = 7x/4
Cross multiply :
7x * 6 = 35 * 4
42x = 140
x = 140 / 42
x = 3 14/42
x = 3 1/3 feets
Hence, Length of the back of aquarium is 3 1/3 feets
Terry pays £480 per month in rent.
His landlord decides to increase the rent by 7.5%.
How much rent does he pay now?
Answer: £516
Step-by-step explanation:
7.5 increase = 100 + 7.5 = 107.5
107.5/100 = 1.075 (multiplier)
480 x 1.075 = 516
Find the slope: (1, -2) (7, -3)
Answer:
slope or m= -1/6
Step-by-step explanation:
HELP PLEASE
what is the length of BC
Answer: b
Step-by-step explanation:
Helpppppppp pls is hard
Answer:
-5
Step-by-step explanation: the graph
A printer can print 12 pages in 9 seconds. what is the closest estimate of the number of pages it can print in one minute?
a.100
b.45
c.120
d.72
Answer:
D.72
Step-by-step explanation:
simplify -3/5-(-1/10)
Answer:
-1/2
Step-by-step explanation:
Change the signs
-3/5 + 1/10
-6+1/10
-5/10
Reduce
-1/2
Answer:
-1/2
Step-by-step explanation:
Change the signs
-3/5 + 1/10
-6+1/10
-5/10
Reduce
-1/2
Select ALL of the values that are solution to the inequality below.
[tex] \frac{7x + 6}{2} \leqslant 3x + 2[/tex]
a. x=-3
b. x=-2
c. x=-1
d. x=0
e. x=1
f. x=2
g. x=3
Answer:
[tex] \frac{7x + 6}{2} \leqslant {3x + 2}\\[/tex]
a. x=-3✓
b. x=-2✓
c. x=-1
d. x=0
e. x=1
f. x=2
g. x=3
Step-by-step explanation:
[tex] \frac{7x + 6}{2} \leqslant 3x + 2 \\ 7x + 6 \leqslant 2(3x + 2) \\ 7x + 6 \leqslant 6x + 4 \\7x - 6x \leqslant 4 - 6 \\ \boxed {x \leqslant - 2}[/tex]
All the values that are equal to or less than -2 are the solution of the given inequality i.e.,
x→{-∞,-2]
HELP PLZZZzZZZZZZZ ASAP !!
Answer:
1 8/25
Step-by-step explanation:
1 32/100 = 1 8/25
A store is having a 20% off sale on all merchandise 1. If Mai buys one item and saves $13 what was the original price
Answer: $65
Step-by-step explanation:
The store is having a 20% off sale.
Mai buys an item and saves $13.
This means that $13 is 20% of the price of the item that Mai bought.
Assume the original price is x. Expression is:
x * 20% = 13
x = 13/20%
x = $65
Please help me ASAP
Answer:
12
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
4*4*4=64
It is the biggest cell in the female human body
a. Ovary
b. Cervix
is also called the hinth canal
c. Egg cell
Answer:
c
Step-by-step explanation:
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Answer:
C. Egg cell
Step-by-step explanation:
It is the biggest cell in the female human body is egg cell
A. 6
B. ⟌50
C. ⟌34
D. 4
Which one?
Answer:
C
Step-by-step explanation:
3^2 + 5^2 = x^2
9 + 25 = x^2
x^2 = 34
x = sqrt(34)
so the answer is C
What is the value of the expression 2x3y when x= −2 and y = 3?
Write the equation of the line parallel to y=2x+1 and goes through the
point (-4, 10)
ct
Answer:
y=2x+18
Step-by-step explanation:
y=2x+c
10=-8+c
c=18
Jason has 18 coins in his pocket.
The coins are all either dimes or
quarters. If the total value of the
coins in his pocket is $3.60.
Determine how many dimes he has
using the elimination method.
Can someone please answer this I can’t do it
Answer:11
Step-by-step explanation:
11 dimes 4 quarters 3 50 cent pieces
Look in photo for the question
4 2/5+k=−3 2/11
Need help
Answer:
2/11
Step-by-step explanation:
Here we have two mixed numbers. Be very careful when handeling negative mixed numbers. Don't coonfuse "-3 2/11" with "-3 + 2/11"
4 2/5 + k = -3 2/11
I add a minus into the mixed fraction on the right. Of course you don't have to write an entire new line when you do calculations on paper.
4 2/5 + k = -3 -2/11
k = - 3 - 4 - 2/5 - 2/11
k= - 7 -2/5 -2/11
Make common denominators. Both 11 and 5 is prime numbers (numbers that are only divisible by one and itself). Therefore the common denominator is 5*11=55.
k= - (7*55)/55 - (2*11)/(5/11) - (2*5)/(11*5)
k = - 385/55 - 22/55 -10/55
k = - (385 +22+10)/55
k = - 417/55
Since 417 isn't divisible by neither 11 nor 5, this fraction is in it's simplest form.
btw correct me if i am wrong
Answer:
[tex] k = - 1 \frac{12}{55} [/tex]
Step-by-step explanation:
[tex]4 \frac{2}{5} + k = 3 \frac{2}{11} \\ \frac{22}{5} + k = \frac{35}{11} \\ k = \frac{35}{11} - \frac{22}{5} \\ k = \frac{175 - 242}{55} \\ k = \frac{ - 67}{55} \\ k = - 1 \frac{12}{55} [/tex]
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A bag contains 2 white balls 4 green balls. 2 balls are drawn from the bag without replacement. use a tree diagram to find the probability that the balls are white colors
Answer: 1 in 3rd chance
Step-by-step explanation:
The are 6 balls and 4 are green and the other 2 are white so if you but it in fraction form it would be 2 over 6 with simply to 1 over 3
Approximate: log5 ^4/7
Answer:
log5 (4/7)= log5 (4)- log5 (7)=-0.347708839
Step-by-step explanation:
for the first question which would be Approximate: log5 4/7 the answer would be B. –0.3477
and for the second question which would be Approximate: log1/2 5 the answer would be C.–2.3219
Step-by-step explanation: Using Properties of Logs
logb(x/y) = logbx - logby.
Furthermore
log5 (4/7)= log5 (4)- log5 (7)
Solve log 5 (4) and log 5 (7) with the base change of the logarithm
log 5 4 = log 4 / log 5
Use the calculator (DESMOS): log 5 4 =0.8613531161
log 5 7 = log 7 / log 5
log 5 7 =1.2090619551
Therefore, The answer is, log5 (4/7)= log5 (4)- log5 (7)=-0.347708839
For the second part of the question just to not make this too long the answer to the second part is: C ( -2.3219 )
How many 5/16's are in 1 1/17? help pls
Answer:
2 and 1
Step-by-step explanation:
5 could only go in 16 2 Times and 11 could only go in 17 1 time