Solution:
Note that:
Area of triangle = 6 3/8 yd²Height of triangle = 2 1/2 Area of triangle = 1/2 x base x altitudeUse the formula to find the base of the triangle.
1/2 x base x altitude = 6 3/8 yd²=> 1/2 x base x 2 1/2 = 6 3/8 yd²=> 1/2 x base x 5/2 = 6 3/8 yd²=> 5/4 x base = 6 3/8 yd²=> base = 6 3/8 ÷ 5/4 yd=> base = 51/8 x 4/5 yd=> base = 51/2 x 1/5 yd=> base = 51/10 ydThe length of the base is 51/10 yards.
[tex]\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}[/tex]
Area of triangle = 6 3/8 yards²Height of triangle = 2 1/2 yards[tex]\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}[/tex]
Base of triangle = ?[tex]\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}[/tex]
[tex] \boxed{\mathfrak{area = \frac{1}{2} \times base \times height}}[/tex]
We are already given the values, Let's plug them and solve for x i.e base
[tex] \bf\: 6 \frac{3}{8} = \frac{1}{ \cancel2} \times x \times \cancel2 \frac{1}{2} [/tex]
[tex] \bf \: 6\frac{3}{8} = x \times \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \bf \: \frac{51}{8} = \frac{1}{2} x[/tex]
Multiply both sides of the equation by 2
[tex] \boxed{ \tt \: x = \frac{51}{4} }[/tex]
➪ Therefore, The base of the triangle is 51/4 yards...~
11%, 1/8, 2/25 least your greatest
Answer:
2/25, 11%, 1/8
Step-by-step explanation:
Hopefully this is correct
Answer:
Turn them into decimals
Step-by-step explanation:
11% = 0.11
1/8 = 0.125
2/25= 0.08
0.08, 0.11, 0.125 I believe is the correct order.
Round off R23 473,63 to the nearest Rand
Answer:
R23 470
because 3 is below 5 so =0
11 12 13 14 15
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?
length = (x − 8) units and width = (x − 9) units
length = (x + 9) units and width = (x + 8) units
length = (x − 6) units and width = (x − 12) units
length = (x + 12) units and width = (x + 6) units
Answer:
The results are the opposite sign of x1 and x2.
[tex]lenght \: = (x - 8) \: and \: width \: = (x - 9)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 17x + 72 = 0[/tex]
[tex]Δ = {(17)}^{2} - 4(1 \times 72)[/tex]
[tex]Δ = 289 - 288 = 1[/tex]
[tex]x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} [/tex]
[tex]x1 = \frac{17 + 1}{2} = 9[/tex]
[tex]x2 = \frac{17 - 1}{2} = 8[/tex]
Which comparison is not correct?
-8<1-41
1-21 <1-91
1-7]>-9
|81 > 1-91
Answer:
I'm pretty sure it is C
Step-by-step explanation:
A gallon of milk cost $2.79 in 2000. In 2015,it cost $3.98.
i don't understand this question please help
Answer:
LM = 22
Step-by-step explanation:
11(44) = (LM)^2
484 = (LM)^2
LM = √484 = 22
Answer:
LM = 22
Step-by-step explanation:
If a tangent segment and a secant segment are drawn from an exterior point to a circle, then the square of the measure of the tangent segment is equal to the product of the measures of the external secant segment and the secant segment.
So for this circle,
point of intersection = Mtangent segment = LMexternal secant segment = NMsecant segment = OMSo LM² = NM · OM
Given:
NM = 11OM = 44LM² = 11 · 44 = 484
⇒ LM = √484 = 22
a
Find all the missing elements:
B
A = 50°
C = 35°
А
с
b = 13
b
B = [?]° a = [] c=[ ]
a = C
Answer:
Step-by-step explanation:
B = 180 - 50 - 35 = 115 degrees
By the law of sines,
[tex]c=\frac{13\sin 35^{\circ}}{\sin 115^{\crc}}[/tex]
And [tex]a=\frac{13\sin 50^{\circ}}{\sin 115^{\circ}}[/tex]
Answer:
B=95 a= 10 c= 7.5
Solve the measurement conversion problem. 1 km = 1,000m Add all amounts then convert
During the camp relay race , the campers had to canoe 500 meters, hike 200 meters, run the trail for 20 meters, and swim for 50 meters . How many kilometers was the relay race?
A) 7.7 kilometers
B) 7,700 kilometers
C) 0.77 kilometers
D) 770 kilometers
Answer:
The answer is C.) In order to get one kilometer, you have to have 1,000 meters.
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
NO LINKS!! Please help me with this problem
Part (a)
x = number of adults
y = number of students
5x = amount all of the adults paid ($5 each)
2y = amount the students paid ($2 each)
5x+2y = total amount of money for adults and students combined
The total amount (5x+2y) must be more than $150
So we end up with 5x+2y > 150 as the inequality.
This inequality involves the boundary line 5x+2y = 150 which goes through the y and x intercepts of (0,75) and (30,0) respectively. We use a dashed line for the boundary to mean that points on the boundary are not included as solution points.
We shade above the dashed boundary line to finish off the graph.
Refer to figure (a) shown below.
========================================================
Part (b)
x = number of adults
y = number of students
x+y = total number of people
120 seats is the max capacity so x+y cannot exceed this value.
x+y = 120 or x+y < 120
Or in short x+y ≤ 120 is the inequality
This involves the boundary line x+y = 120 which goes through the y and x intercepts of (0,120) and (120,0). We shade below the solid boundary line.
Refer to figure (b) shown below.
========================================================
Part (c)
Now imagine we overlapped the blue region from part (a) and the red region from part (b)
We'll get the purple region shown in figure (c). At this point, I'm only considering cases when x ≥ 0 and when y ≥ 0. It's not possible to have a negative number of people, so that's why we focus on the upper right quadrant of the xy grid.
This purple region consists of all (x,y) points that make ALL of the inequalities to be true. Exclude any points on the dashed boundary.
For example, if we picked the point (x,y) = (50,40) then this point is in the purple region. We can confirm its a solution by checking each inequality.
5x+2y > 150
5*50+2*40 > 150
250+80 > 150
330 > 150 .... which is true
and,
x+y ≤ 120
50+40 ≤ 120
90 ≤ 120 ... which is also true
Furthermore, both x and y are nonnegative making x ≥ 0 and y ≥ 0 to be true as well. Every inequality mentioned is true for (x,y) = (50,40) to fully confirm the solution point. There are other possible solutions such as (40,60) and (80,20) which I'll let you verify.
If we stick to the (50,40) from earlier, then this means 50 adults and 40 students went to the concert.
Answer: 50 adults and 40 studentsOther answers are possible
pls help anyone. im no good at math im starting to cry ):
Answer:
Step-by-step explanation:
1. (A) 96:38, 38:96, 96/38
(B) The two ratios are the same as they represent the same thing just reversed
2(A) 38:46
(B) The simplest form means that you must simplify it and you get 19: 23
3 (A) For every 1 documentary movie there is 2 comedy movie
(B)For every3 kid movie, there is 4 horror movie
hope that helps, sorry for the simplified answers as I am in a bit of a rush too
You are playing a dice game in which you bet $10 and roll two dice.
If you roll 2-8, you lose your bet.
If you roll 9-10, you win $10.
If you roll 11-12, you win $50.
Answer:
(view picture)
Step-by-step explanation:
i got this from the answer section after getting it wrong the first time it’ll show the answer
Justify the congruence between each of the following pairs of triangle.
Answer:
Refer to the attachment for the labelling of the triangles.
In △ABC & △DEC,
∠C = ∠C [common angles → vertically opposite angles]
AC = CE [equal pair of sides]
BC = DC [equal pair of sides]
•°• △ABC ≅ △EDC (Single-Angle-Side congruence rule → SAS congruence rule.....the angle is included between the 2 equal sides).
Hope it helps ⚜
a circle has a radius of 15 cm determine the excavt area
Answer:
Step-by-step explanation:
area=π r²
=π×15²
=225 π cm²
What is the area of a rectangle with a length of 625 centimeters and a width of 235 centimeters?
Step-by-step explanation:
Area=Length ×Width
so take 625×235=
which is..
146875 square cm
A soccer league has $630 to buy new soccer
balls. If each ball costs $6, how many balls can the
league buy?
soccer balls
Answer:
The soccer league can buy 105 soccer balls.
Step-by-step explanation:
I did $630 divided by $6 and got 105! :)
Hector paid $12 for 6 pastries. He wants to create an equation in the form c- Dp, to represent the total cost, c, to buy p
pastries.
What number should Hector put in the square to complete his equation?
Find the cost of one pastry:
$12 / 6 pastries = $2 per pastry
the answer would be $2
Pls help me pls pls pls
Answer:
1.) 163
2.) 56
3.) 94
Step-by-step explanation
Because the angles are supplementary, it means they equal 180 degrees. Therefore, just use this equation to found the unknown angle.
180-(The Number you are given) = (The angle you want)
For Example,
180-86=94
Which of the following Statements are true?
Statement 1: In a rectangle, both pairs of opposite sides
are parallel.
Statement 2: It is possible to draw a triangle with side
lengths 8 ft, 9 ft and 20 ft.
Only Statement 1 is true.
Only Statement 2 is true.
Both Statements are true.
Neither Statement is true.
Which is the greatest
.......62% is the greatest......
I need help please I need help
Answer:
2 • (g - 2) • (4g + 3)
Step-by-step explanation:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
(23g2 - 10g) - 12
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
8g2 - 10g - 12 = 2 • (4g2 - 5g - 6)
Trying to factor by splitting the middle term
3.2 Factoring 4g2 - 5g - 6
The first term is, 4g2 its coefficient is 4 .
The middle term is, -5g its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4g2 - 8g + 3g - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4g • (g-2)
Add up the last 2 terms, pulling out common factors :
3 • (g-2)
Step-5 : Add up the four terms of step 4 :
(4g+3) • (g-2)
Which is the desired factorization
Final result :
2 • (g - 2) • (4g + 3)
you are paid $60 per week plus $5 per sale. At least how many sales do you need to make in order to have over $350? which inquelity best represent this
I need explanation helppp only to people who knows no spamming
Answer:
I believe the answer is either B or D.
Step-by-step explanation:
if I had to choose I think your best choice would be B. But if you draw it on a graph there is a possibility it could be D. But I think your best choice is B.
So, what you need to do here is to first plot all the points on the coordinate plane. When you plot all the points, and connect them all together, you should be able to see a shape. When I plotted all your points, I got a parallelogram or a rectangle, which is most likely the correct answer here because it is more specific than saying a parallelogram. A parallelogram can be a square, rhombus, or any other shape that fits the characteristics of one, so saying "rectangle" is better.
Solve the equation and enter the value of x below
-9x-3 = 60
Answer:
-7
Step-by-step explanation:
-9x-3=60
add 3 to each side to cancel -3
-9x-3+3=60+3
simplify
-9x=63
divide by -9 to cancel the -9
-9x/-9=63/-9
simplify
x=-7
2 numbers whose product is 40 and sum is -13
2 numbers whose product is 28 and sum is -11
2 numbers whose product is
15 and sum is -16
2 numbers whose product is -14 and sum is 5
2 numbers whose product is -5 and sum is -4
2 numbers whose product is -10 and sum is -3
2 numbers whose product is -56 and sum is 1
2 numbers whose product is -20 and sum is 1
PLEASE HELP IM DESPERATE
Answer:
1. -5 and -8
2. -7 and -4
3. -15 and -1
4. 7 and -2
5. -5 and 1
6. 2 and -5
7. -8 and 9
8. 5 and -4
Step-by-step explanation:
Amanda wants to buy a new iPod that costs $250. When she gets to the Apple store
she sees they are having a sale for 15% off all iPods. She also has a coupon that takes
an additional 15% off the discounted price. What is the final cost of the iPod? (multi
step problem) (first you need to find the price when you take 15% off, and then you
take an additional 15% off of the discounted price)
Answer:
Answer:
15% off 212.5
30% off 175$
Step-by-step explanation:
15+15=30 so
250/100=2.5
2.5x30=75
250-75
Dylan made 15 out of 35 free throws. What's his experimental probability as a simplified fraction?
If
x
=
4
and
y
=
5
, evaluate the following expression:
3
(
x
+
y
)
Answer:
3(4+5)
Step-by-step explanation:
just fill in the numbers for x and y
Answer:
3(x + y)
x = 4 y = 5
3(4 + 5)
12 + 15
= 27
Step-by-step explanation:
The parkview middle school football team will be playing in the state championship the coach has free tickets to it will be distributed to 52 Baltimore players if he would like to give each player at least 3 tickets how many total tickets must he have?
Answer:
the answer is 17.3 repeated
Step-by-step explanation:
because 52 divided by 3
There are 93 children at a summer camp. Each camp cabin has 8 beds for 8 children. How many cabins are for all 93 children? How many empty beds will remain? Select the true statement.
Answer:
12 cabins with 3 empty beds
Step-by-step explanation:
Closest multiple of 8 to 93 is 8*12=96
96-93=3 empty beds
Answer:
There will be 11 cabins with 5 extra beds.
Step-by-step explanation:
find the standard form, center, and radius of the following circles
1. x2+y2-4x+8y-5=0
2. 4x2+ 4y2+36y+5=0
Answer: The standard form a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius of the circle. Therefore, the center of the circle is at (2,4) and the circle has a radius of 5 .
Step-by-step explanation:
