Answer:
[tex]A\approx1608.7\text{ yards}^2[/tex]
Step-by-step explanation:
We can use the alternate formula for the area of a triangle:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the side lengths.
We know that one side length is 60 and the other is 70.
The angle between them is 50°.
So, substitute 60 for a, 70 for b, and 50° for C. This yields:
[tex]A=\frac{1}{2}(60)(70)\sin(50)[/tex]
Evaluate using a calculator. Make sure you’re in Degrees Mode.
Therefore, the approximate area is:
[tex]A\approx1608.7\text{ yards}^2[/tex]
write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.
Answer:
y
=
−
1
3
(
x
+
3
)
Step-by-step explanation:
The point-slope form of a linear equation is:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
(
x
1
,
y
1
)
is a point on the line and
m
is the slope.
Substituting the values from the point in the problem and the slope provided in the problem gives:
Answer:
y=-1/2x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y=-1/2x+2-2
y=-1/2x
ILL GIVE BRAINLY THING
Answer:
the slope is -4/3
Step-by-step explanation:
you can either use the graph or algebra to find the slope.
to use the graph, simply count how many spaces up/down and to the left/right that you go.
to use algebra, take the coordinates of your two points and do (y2-y1)/(x2-x1).
can y’all help please :)
A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.
Answer:
45.7miles per hour
Step-by-step explanation:
40mins = 2/3 hour
the bus travelled (2/3 x 40) miles = 80/3 miles
the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
Option (6). HL
Step-by-step explanation:
Given:
From the right triangles ΔBAC and ΔBDC,
AC ≅ CD
∠A = ∠D = 90°
To Prove:
ΔBAC ≅ ΔBDC
Statements Reasons
1). AC ≅ DC 1). Given
2). BC ≅ BC 2). Reflexive property
3). ΔABC ≅ ΔBDC 3). By HL property of congruence of right triangles
Therefore, Option (6) HL will be the correct option.
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
A bag of apples costs a dollars.
A bag of oranges costs 2 dollars more.
If Dorie bought 5 bags of apples and 5 bags of oranges, how much did Dorie pay in terms of a?
Mark all choices that are true.
A 5 (2a + 2)
B 10a + 10
c 10a + 2
D 5 (a + a + 2)
E 5a + 2a
Answer:The answer is A,B, and D
Step-by-step explanation:I just know lol
Find the slope of the line containing the points (-2,5) and
(-2,0).
Answer:
undefined
Step-by-step explanation:
Which of the following does not show the Commutative Property of Addition or Multiplication?
a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3
Answer:
XY - 9 = XY
Step-by-step explanation:
You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps
Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.
Answer:
C
Step-by-step explanation:
Plato(:
What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.
What is stock?Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.
In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.
Read more about Stock
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Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)
Answer:
4(2a+5)
Step-by-step explanation:
4 times 2a= 8a
4 times 5= 20
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
Factor:
25y + 27x
Plz help
Answer:
25y+27x
Step-by-step explanation:
You cannot factor this any further
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
-1/4 [p+16]=2 help me pls
Answer:
6p
Step-by-step explanation:
Find the slope and y-intercept of the graph. y=5x-3
Answer:
Step-by-step explanation:
y=mx+b
your m is the slope and your b is the y-intercept
so for y=5x-3 your slope would be 5 and your y-intercept would be -3
The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.
How to Find the Slope and the Y-intercept of a Graph?The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:
m is the slope
b is the y-intercept of the graph.
The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).
Learn more about slope and y-intercept on:
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A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
NO JOKING AROUND OR I WILL REPORT WHO EVER DOES
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12
Answer:
Its 66 i just did a 50 question quiz and got it right
Step-by-step explanation:
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.
Answer:
2 books in one month
Step-by-step explanation:
Answer:
2 books per month .
Step-by-step explanation :
6 divided by 3 = 2
So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )
Hope that helped :)
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
Help please, question attached
Answer:
C. x = 8
Step-by-step explanation:
We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.
Let's multiply 6 x 6 x 6.
36 x 6 = 216.
Let's multiply 8 x 8 x 8.
64 x 8 = 512
The answer would be C. x = 8.
I hope that this helps! :)
Answer:
8
Step-by-step explanation:
x³ = 512
x³ = 8³
Cube root on both sides,
x = 8
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
What single transformation maps ∆ABC onto ∆A'B'C'?
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
What number would go in the blank? 4 x 6 = 6 x ___
6
4
10
Answer:
4
Step-by-step explanation:
4 x 6 = 6 x 4
which number is bigger 1.59 or 1.955
Answer:
1.955 is bigger
Step-by-step explanation:
1.955>1.59
Answer:
1.955
Step-by-step explanation:
This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59
A partial proof was constructed given that MNOP is a parallelogram.
Which statement should fill in the blank in the last line of the proof?
A. angle M is supplementary to angle O.
B. angle N is supplementary to angle P.
C. angle M is congruent to angle P
D. angle N is congruent to angle P.
Answer:
B
Step-by-step explanation:
B. angle N is supplementary to angle P
Answer:
B
Step-by-step explanation:
A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?
Answer:
1/2 teaspoons of salt per cup of sour cream
Step-by-step explanation:
multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.