Answer:
Width of field = 50 yards
Length of Yards = 106 yards
Step-by-step explanation:
Let the width of field be x yards
given that "The length of a new rectangular playing field is 6 yards longer than double the width"
Length of Yards= 2*width of field + 6 = 2x+6 yards
perimeter of the rectangular playing field = 312 yards
We know that perimeter of rectangle is given by 2(length + width ).
Since field is rectangular then
2(length + width ) = 312
2(x+2x+6) = 312
=> 3x+6 = 312/2 = 156
=> 3x = 156 - 6 = 150
=> x = 150/3 = 50
Thus,
Width of field is x = 50 yards
Length of Yards= 2x+6 yards = 2*50+6 yards = 106 yards
The rectangular prisms below have the same size and shape.
What is the combined volume, in cubic inches, of the prisms?
A: 8
B: 16
C: 32
D:64
Find the value of x in the question
Answer:
x=52
Step-by-step explanation:
r=90 s=34 q=180-(90+34)
180-(90+34)=56
to find angle sqr
180-56=124
124=x+72
52=x
Answer:
x = 52
Step-by-step explanation:
→We are given an exterior angle (outside of the triangle) as (x + 72). We are also given two interior angles as 34 and 90. The sum of the two farthest interior angles away from the exterior, is equal to the exterior. So this means that ∠R(90°) + ∠S(34°) = ∠PQS(x + 72), and we can set up the equation like that:
90 + 34 = x + 72
→Add like terms (90 and 34):
124 = x + 72
→Subtract 72 from both sides:
52 = x
(4a^4)^2 write without exponents
Answer:
16 a^8 = 16aaaaaaaa
Step-by-step explanation:
(4a^4)^2
We know (xy)^z = x^z y^z
4^2 a^4^2
16 a^4^2
We know a^b^c = a^(b*c)
16 a^(4*2)
16 a^8
If g(x) = -4x + 5, find g(x+4).
Answer:
g(x + 4) = -4x - 11
Step-by-step explanation:
Since g(x) = -4x + 5, g(x + 4) = -4(x + 4) + 5
g(x + 4) = -4x - 11
Let M(x)=4x2−3x and N(x)=−5x3−6x2−3. Find M(x)−N(x)
Answer:
5x³+10x²-3x+3
Step-by-step explanation:
(4x²-3x) - (-5x³-6x²-3)
5x³+10x²-3x+3
If equations M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then M(x)-N(x)=[tex]5x^{3} +10x^{2} -3x+3[/tex].
What is equation?An equation is a relationship between two or more variables expressed in equal to form. It is often equated to find the values of variables. The form of an equation is ax+by=c.
How solve equations?We have been given M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] and we have to find the difference between M(x) and N(x) and to solve them we have to open the brackets and add the coefficients of variable.
M(x)-N(x)=[tex]4x^{2} -3x-(-5x^{3}-6x^{2} -3)[/tex]
First we have to open the brackets.
=[tex]4x^{2} -3x+5x^{3}+6x^{2} +3[/tex]
Now we have to add the coefficients of same variable having same powers.
[tex]=5x^{3}+10x^{2} -3x+3[/tex]
Hence if M(x)=[tex]4x^{2} -3x[/tex] , N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then difference between {M(x)-N(x)} =[tex]5x^{3}+10x^{2} -3x+3[/tex].
Learn more about equations at https://brainly.com/question/2972832
#SPJ2
peta has 4 friends now. last year she had 12. what is the percent of change?
Answer:
we simply see 4 has multiplied by -3
-12 = 4 x -3
This becomes -300%
We then add the 100 = initial amount onto a negatove percentage = -300 +100 = -200% change.
Step-by-step explanation:
3.00 x 4 = 12
4 + 8 = 12
4 x -2.00 = -8 being the change. The answer is -2.00 = -200%
Shows part of the answer and proves the answer is -200%
Find the median of both you and your friend’s basketball scores. Who’s score is greater? By how much?
Answer:
Find the number in the middle
First list the number from smallest to greatest
6,8,10,10,12,14,14,16,16,18,18,20,20,22
Find which one is in the middle
16 and 16 are the two middle numbers. There is two middle numbers because there is an even amount of numbers
If there are two middle numbers find the average
Do (X+Y) / 2
16+16 = 32
32 / 2 = 16
16 is the median for your score
Do the same to your friend's score
2,8,8,10,10,10,12,12,12,12,14,14,14,16,16
12 is the middle because there is 7 numbers to the left and right so 12 is the median.
Your score is greater by 4 because 16 - 12 = 4.
Hope this helps
Step-by-step explanation:
What is the value of this expression when c= -4 and d = 10?
(c+d2)
O A.
2.
OB.
9
Ос.
21
OD. 41
Answer:
[tex]c + d^2 = 96[/tex]
Step-by-step explanation:
Given
[tex]c = -4\\d = 10[/tex]
Required
Find [tex]c + d^2[/tex]
To find [tex]c + d^2[/tex], we simply substitute 10 for d and -4 for c in the given expression.
The step is as follows:
[tex]c + d^2[/tex]
Substitute [tex]c = -4\\d = 10[/tex]
[tex]c + d^2 = -4 + 10^2[/tex]
[tex]c + d^2 = -4 + 10*10[/tex]
[tex]c + d^2 = -4 + 100[/tex]
[tex]c + d^2 = 96[/tex]
The expression cannot be solved any further; so, we can conclude that when d = 10 and c = -4, [tex]c + d^2 = 96[/tex]
Somebody please help me. I cant figure this out once so ever.
Answer:
A
Step-by-step explanation:
The Fibonacci sequence is the sum of the two terms before it. It looks like this:
1, 1, 2, 3, 5, 8, 13, 21, 34, ...
As you can see, 13 and 21 are indeed consecutive terms.
why are triangles congruent ?
Explanation:
Basically triangles are congruent when they have the same shape and size.
Two triangles are congruent if they have :
exactly the same three sides and
exactly the same three angles.
Tips Area :
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent too :)
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ;)
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ^^
Hope that help :)
PLEASE HELP WILL GIVE BRAINLIEST
Tell the slope and y-intercept of the graph of this linear equation
-3x + 2y = 8
(the slope is a fraction)
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
We want to write in the form
y = mx+b where m is the slope and b is the y intercept
-3x+2y = 8
Add 3x to each side
-3x+3x+2y = 3x+8
2y = 3x+8
Divide each side by 2
2y/2 = 3x/2 + 8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
For which set of data will the scatter plot represent a positive linear association between x and y?
O Set A
O Set B
O Setc
O Set D
PLEASE HELP ME
Answer:
Set C
Step-by-step explanation:
Answer:
The answer is Set B
Step-by-step explanation:
Positive linear association goes from left to right and in a straight line. If you put the information into a scatter plot, the line moves in the positive direction and is in a straight line. (In a scatter plot, x goes across the bottom and y is vertical.)
You accept a job as an environmental engineer that pays a salary of $45,000 in the first year. After the first year, your salary increases by 3.5% per year.
Write a rule giving your salary for your nth year of employment.
a ( n ) = ______
Answer:
a(n) = 45000 (1.035)n-1Answer:
a(n) is equal to $45,000
(1.035)n-1
Step-by-step explanation:
which choice is equivalent to the product below when x≥x
Answer:
B.
Step-by-step explanation:
If you dont understand what I wrote, just ask!
Answer:
B
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{6x^2}[/tex] × [tex]\sqrt{3x}[/tex]
= [tex]\sqrt{18x^3}[/tex]
= [tex]\sqrt{9(2)x^2(x)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]
= 3 × [tex]\sqrt{2}[/tex] × x × [tex]\sqrt{x}[/tex]
= 3x × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x}[/tex]
= 3x[tex]\sqrt{2x}[/tex] → B
Classify the following triangle. Check all that apply.
Answer:
B.
F.
Step-by-step explanation:
Look at the angle. It is obtuse so the triangle is obtuse.
The sides are congruent so it is an isosceles.
Answer:
B,F
Step-by-step explanation:
sides are equal.
One angle=104°>90°
so itis an isosceles obtuse triangle.
the cougars baseball team played 16 games last year and won 12 of them. this year they are scheduled to play 28 games. if the end up with the same winning percentage, how many games will they win
Answer:
They won 21 games
Step-by-step explanation:
First take the 12 out of 16 games they have won and make it a fraction, 12/16. Then divide 12 by 16, 12 ÷ 16 and then you get, 0.75 then as always multiply it by 100 and get 75 (you can also just move the decimal over 2 places) Then after that you smack that percentage sign on 75 and get %75. So now we know that the Cougars baseball team won %75 of there games. Now take 28 and put it as a fraction, but! You need two numbers for it to be a proper fraction to we will replace the numerator with W to represent how many games they won, so now you should have something like this W/28, so now we find the value of W and by doing that just guess and check (it cant be over 28 so it must be under 28) and when your looking for your number do W ÷ 28 and try to get 0.75 and when you get that (that being 21 ÷ 28 = 0.75 ) you now know that 21 is your answer.
Hope this helps but im in 6th so..... dont quote me on this some of the explanation might not be clear to you but it is to me hope you can figure it out
-7 -5(-4c+4) <-7c+8-3
Answer:
c < 32/27
Step-by-step explanation:
−7−5(−4c+4)<−7c+8−3
Step 1: Simplify both sides of the inequality.
20c−27<−7c+5
Step 2: Add 7c to both sides.
20c−27+7c<−7c+5+7c
27c−27<5
Step 3: Add 27 to both sides.
27c−27+27<5+27
27c<32
Step 4: Divide both sides by 27.
27c/27 < 32/27
c < 32/27
lcm of 6 and 13 what is it?
Answer:
78
Step-by-step explanation:
Since 13 is a prime, the least common multiple of it and 6 is their product. 6*13=78. Hope this helps!
Answer:
78
Step-by-step explanation:
Least Common Multiple of 6 and 13. Least common multiple (LCM) of 6 and 13 is 78.
6- 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78
13- 13, 26, 39, 52, 65, 78
What is f(5)
-8
-1
1
8
Answer:
f(5) = -8
Step-by-step explanation:
f(5) is the output value when the input value is 5
Reading the chart,
f(5) = -8
A piggy bank contains only nickels, dimes, and quarters. There is a total of 105 coins and the total value of those coins is $10.75. Find a general solution of the number of each coin. List three possible specific solutions.
Write the slope of DB
Answer: [tex]\frac{c - 0}{b-a}[/tex]
Casey has a litter of 5 puppies and 3 of them are gray. At this rate, how many puppies would be gray in a litter of 30 puppies?
Answer:
18 gray puppies
Step-by-step explanation:
Think of this as finding equivalent fractions/ratios. 3/5 puppies are gray. what over 30 puppies would be gray? to find 3/5=?/30, you multiply the numerator and denominator by 6. 3 times 6 is 18.
50 POINTS IF YOU GET THIS QUESTION!!! Find area of the following shape if the vertices are X=(1,1), Y=(2,5), Z=(5,5), W=(8,1)
Answer:
20
Step-by-step explanation:
To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.
We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.
(8,1) (1,1)
1 x 1 = 1
8 x 1 = 8
1 - 8 = -7
next coordinate:
(1,1) (2,5)
1 x 2 = 2
1 x 5 = 5
2 - 5 = -3
next:
(2,5) (5,5)
5 x 5 = 25
2 x 5 = 10
25 - 10 = 15
next:
(5,5) (8,1)
5 x 5 = 40
5 x 1 = 5
40 - 5 = 35
-7 - 3 + 15 + 35 = 40
40/2 = 20
Answer:
[tex]\boxed{\mathrm{view \: attachment}}[/tex]
Step-by-step explanation:
If m∠9 ≅ 95°, find m∠14. answers: Question 5 options: 85° 95° 90° 88°
Answer:
Option (1). 85°
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and line 'n' is a transverse.
Since, m∠9 ≅ m∠13 [These angles are the corresponding angles]
Therefore, m∠13 = 95°
Since, m∠13 + m∠14 = 180° [Supplementary angles]
Therefore, 95° + m∠14 = 180°
m∠14 = 180° - 95°
m∠14 = 85°
Therefore, 85° will be the measure of angle 14.
Option (1) will be the answer.
What has to be added to the sum of 4/7 and 7/4 to get 3?
Answer:
if you add 1 u get 3
Step-by-step explanation
Answer:
[tex]0.67858[/tex]
Step-by-step explanation:
[tex]\frac{4}{7}+\frac{7}{4}\\\mathrm{For}\:\frac{4}{7}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:4\\\frac{4}{7}=\frac{4\cdot \:4}{7\cdot \:4}=\frac{16}{28}\\\mathrm{For}\:\frac{7}{4}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:7\\\frac{7}{4}=\frac{7\cdot \:7}{4\cdot \:7}=\frac{49}{28}\\=\frac{16}{28}+\frac{49}{28}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{16+49}{28}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:16+49=65\\=\frac{65}{28}\\\mathrm{Decimal:\quad }\:2.32142\\3-2.32142=0.67858[/tex]
90 POINT QUESTION!!!
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Consider the statement P: x + 9 = 10. Which of the following is an equivalent statement? Question 13 options: A) R: x > 0 B) Q: x – 9 = 10 C) S: x = 1 D) ∼P: x + 9 ≠ 10
Answer:
C) S: x = 1
Step-by-step explanation:
Answer:
C) S: x = 1
explination
sarah wants to open up her own coffee shop. It costs her $3 to make each cup of coffee, plus she has to pay a $24 renter's fee for her shop. She sells the coffee for $5 per cup. How many cups of coffee does she has to sell before she can start making a profit? *
Answer:
5
Step-by-step explanation:
So you divide 24 by 5 and you get 4.8 so you round it up to 5
what is the slant height for given pyramid to the nearest to the whole unit?
A 7 cm
B 5 cm
C 9 cm
D 8 cm
Answer:
B 5 cm
Step-by-step explanation:
The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.
The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.
If s is the slant height, then ...
s^2 = 3^2 + 4^2 = 9 +16 = 25
s = √25 = 5
The slant height is 5 cm.
Question #19- Use the answer bank below to fill in missing parts of the proof.
Given: PQPR
Prove: QR
P
R
Answer:
∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)
∠PQR ≅∠PRQ: Reason; CPCTC
Step-by-step explanation:
[tex]\overline{PQ}\cong \overline{PR}[/tex]: Reason; Given
Draw [tex]\overline{PM}[/tex] so that M is the midpoint of [tex]\overline{QR}[/tex]: Reason; Two points determine a line
[tex]\overline{QM}\cong \overline{RM}[/tex]: Reason; Definition of midpoint
[tex]\overline{PM}\cong \overline{PM}[/tex]: Reason; Reflexive property
ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency
∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC
∠PQR ≅∠PRQ: CPCTC
