The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
Learn more about the area of a triangle here: https://brainly.com/question/22625791
#Tag #SPJ2
how do I simplify the expression
-(10)-2
Answer:
First distribute the negative -(10)
it becomes a -10
them add the -10 and -2
and the answer in - 12 because a negative plus a negative equals a negative
2x+8 + 3x+6 = 7x i need help fast
Answer:
x=7 Hope this helps :)
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+3x+6=7x
Step 1: Simplify both sides of the equation.
2x+8+3x+6=7x
(2x+3x)+(8+6)=7x(Combine Like Terms)
5x+14=7x
5x+14=7x
Step 2: Subtract 7x from both sides.
5x+14−7x=7x−7x
−2x+14=0
Step 3: Subtract 14 from both sides.
−2x+14−14=0−14
−2x=−14
Step 4: Divide both sides by -2.
−2x
−2
=
−14
−2
x=7
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]
Add the like terms : 2x and 6
[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]
Add the numbers : 8 and 6
[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]
Move 7x to left hand side and change it's sign
Similarly, move 14 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]
Subtract 7x from 5x
[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]
Divide both sides by -2
[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]
Hope I helped!
Best regards! :D
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km
What is the length of side AB of the triangle
the length of sides AB of the triangle is sum of all sides..
Calculate the sum and enter it, as a fraction in lowest terms, using the
slash (/) for the fraction bar. 4/15 + 7/9
Answer:
47/45 or 1 and 2/45
Step-by-step explanation:
47/45 or 1 2/45
4/15 +7/9
× 3/3. × 5/5
12/45 + 35/45
47/45
Using this system of linear equations: show all of the steps to solve using substitution.
Answer:
(1,5)
Step-by-step explanation:
y=3x+2
x+2y = 11
Substitute the whole value of y to the second equation:
x+ 2 (3x +2)=11
Distribute 2
x+6x+4=11
Combine like terms:
7x=7
x=1
Plug in the x value to any equation:
y=3(1)+2
y=3+2
y=5
1. M=? J=? K=?
2. N=?
3. ( did not know how to crop, please ignore this question! )
Thank you so much!
Answer:
See Explanation
Step-by-step explanation:
m = 46° (vertical angles)
j = 92° (vertical angles)
j + k + 46° = 180° (staright line angles)
92° + k + 46° = 180°
138° + k = 180°
k = 180° - 138°
k = 42°
n = 37° + 44° = 81°
4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15
Let's first find the mode of each data set.
Mode = the largest value - the smallest value.
A. 20 - 11 = 9
B. 31 - 5 = 26
C. 20 - 11 = 9
D. 15 - 6 = 9
B fails because its mode does not equal 9.
Let's find the mean of A, C, and D
The mean = the sum of all data values divided by the number of data values.
A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2
C. (11 + 11 + 14 + 19 + 20) / 5 = 15
D. (6 + 10 + 14 + 15 + 15) / 5 = 12
Options A and D fail because their mean does not equal 15.
Let's find the median and mode of option C
Median = the value which falls into the middle of our data set
11, 11, 14, 19, 20 = 14
Mode = the value which appears most often
In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.
determine the domain of each of the real functions
f (x) =
[tex] \sqrt{x2 - 16} [/tex]
f(x) =
[tex] \sqrt{4 - x2} [/tex]
f(x) =
[tex] \frac{5}{ \sqrt{9 - x2} } [/tex]
Find the product of (x + 5)(x − 5).
Answer:
x² - 30 + 5x
Step-by-step explanation:
(x + 5)(x − 5)
=x(x − 5)+5(x − 5)
=x² - 5 + 5x - 25
=x² - 30 + 5x
If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined
Answer:
13
Step-by-step explanation:
Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
What is an Isosceles Trapezoid?An isosceles trapezoid has two congruent legs and two diagonals that are congruent.
Given:
SD = 8x - 5LG = 6x + 21Thus:
SD = LG
Substitute
8x - 5 = 6x + 21
Combine like terms and find x
8x - 6x = 5 + 21
2x = 26
x = 26/2
x = 13
Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
Learn more about isosceles trapezoid on:
https://brainly.com/question/10187910
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
Answer:
(0, - 6)
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0, f(x) = - 6
The y- intercept is therefore (0, - 6 )
Answer:
(0, - 6)
Step-by-step explanation:
I need help! I don't know how to do this
Gaston claims to eat 6 dozen eggs every morning. If the hens in his town lay 2 eggs per day, what is equation that represents the relationship between the total number of eggs Gaston eats each morning and the number of hens (h) needed to support his diet?
Answer:
72=2h
Step-by-step explanation:
6x12=72
Please help, question is in photo below, about finding angles.AWARDING MORE POINTS
Step-by-step explanation:
[tex](2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 \times 7) + 23 = 37 \\ dbc = (2 \times 9) - 5 = 13[/tex]
Answer:
x=7
m<ABD=37°
m<DBC=58°
Step-by-step explanation:
Add the two equations. They need to equal 95. Solve for x.
(2x+23)+(9x-5)=95
11x+18=95
11x=95-18
11x=77
x=7
Substitute 7 in for x to both equations to solve for the angle degrees.
m<ABD=2x+23 = 2(7)+23 = 14+23 = 37
m<DBC=9x-5 = 9(7)-5 = 63-5 = 58
CHECK: 37+58=95
ahh sorry! i need help again! question 25! if you can, please include steps! thanks!
Answer:
2
Step-by-step explanation:
2x^2 -3xy^3
Let x=-2 and y =-1
2 ( -2)^2 -3 (-2) (-1)^3
Using PEMDAS, we do exponents first
2 ( 4) - 3(-2) (-1)
Multiply nexy
8 - 6
2
In this question, we are required to find
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
When, x = -2 and y = -1
We just need to plug the values of x and y in the given polynomial to get our required answer.
Given, Polynomial in variable x and y,
[tex]2 {x}^{2} - 3x {y}^{3} [/tex]
Plugging values of x and y,
[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]
According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,
[tex]2(4) - 3( - 2)( - 1)[/tex]
Opening the parantheses and finding the answer,
[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]
[tex]8 -6[/tex]
[tex] \boxed{ \red{2}}[/tex]
This is our required answer !!
#CarryOnLearning
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I don’t understand this please help
Answer:
3rd option
Step-by-step explanation:
-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions
-10 ≥ -5x > -40 divide by 5
-2 ≥ -x > -8 now multiply by -1
2 ≤ x < 8
Which point represents the vertex of the marked angle?
Α. Α
B. E
C.C
D.B
Answer:
B. E
Step-by-step explanation:
The vertex is the middle of the angle.
I hope this helped!
If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
A.what natural environment are in an area
B.which culture and traditions are common
C.what to plan for the future
D.where things are located in relation to one another
Answer:
A.) What natural environments are in an area
Step-by-step explanation:
50 POINTS FOR THE ANSWER! Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won? Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625. Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar. Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Answer:
zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625
Step-by-step explanation:
given: vanessa and zack are playing a game where the player with the lower score wins
score of vanessa=
[tex] - 3 \frac{5}{8} = - ( \frac{29}{8}) = - 3.625 [/tex]
score of zack:
[tex] -3 \frac{2}{3} = - ( \frac{11}{3} ) = - 3.666[/tex]
we can see -3.666<-3.625
zack has the lower score
Answer:
zack won. if you compare the decimal equivalents of their scores, -3.666<-3.625
Step-by-step explanation:
Simplify the expression:
(2f - 6)(-3)
Answer:
Simplify the expression.
−
6f+18
Step-by-step explanation:
In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?
Answer: Angle 2: 45°
Step-by-step explanation:
All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135
What is the greatest common
factor of the following three
numbers?
12, 18,32
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
NO is an angle bisector. Solve for x.
A. x = -10
B. Not enough information
C. x = 10
D. x = 4
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answer:
Please see the attached pictures for full solution.
At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?
(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2
Answer:
7:4
Step-by-step explanation:
The number of sharks at the aquarium is 840
The number of lion fish is 630
The total number of fish is 1470
Therefore the ratio of fish to sharks can be calculated as follows
= 1470/840
= 7:4
Hence the ratio of fish to sharks is 7:4
4= -2(x-2) +4 please help I’ll give you points!
4 = -2(x-2) + 4
or, 4 = -2x + 4 + 4
or, 4 = -2x + 8
or, 4 - 8 = -2x
or, -4 = -2x
or, -4/-2 = x
or, 2 = x
Answer:The value of x is 2.
Answer:
x = 1
Step-by-step explanation:
4 = -2( x - 2) + 4
4 = -2x - (-2) +4
4 = -2x + 2 + 4
4 = -2x + 6
4 - 6 = -2
6 - 6 = 0
-2 = -2x
x = 1
hopefully this helps you get it right and if it does pls mark as brainlest ( it really helps if you do). :)
The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS
40
50
60
70
80
90
100
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)
What is the sum for the expression below? 234+114+312
Answer:
660
Step-by-step explanation:
Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)
Answer: A
Step-by-step explanation:
f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.