Answer:
L=19.5in w=10.5in
Step-by-step explanation:
Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9
Area is (width)(Length) = (width)(width+9)
W
----------
| |
| |
| | L = w+9
| |
| |
-----------
A = (w+3)(w)
A = w2 + 9w = 205.
(Problem states that area is 205 sq in)
Need to solve this quadratic equation
w2 + 9y - 205 = 0
Factor:
(w - 10.51) (w + 19.51) = 0
So
w - 10.51 = 0. or. w + 19.51 = 0
Solve these and get
w = 10.51. or. w = -19.51
Only one that makes sense in real life is the positive one.
So the dimensions are
Width = 10.51 inches
Length = 19.51 inches
If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi
Answer:
V= 468 * 3.14 = 1.469.52
Step-by-step explanation:
Volume of a cylinder = π r^2 h
V= 3.14 *6^2 * 13
V= 1469.52 cubic unit
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B) ∠B ≅ ∠K C) cb ≅ lk D) ab≅ jk
Answer:
B) ∠B ≅ ∠K
Step-by-step explanation:
The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).
Answer:
A) ∠C ≅ ∠L
Step-by-step explanation: I took the test
This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.
Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?
A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points
Please explain your answer
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer
Write y + 1 = –2x – 3 in standard form.
Question 15 options:
a)
x + 12y = −2
b)
-2x-y = 4
c)
2x + y = -4
d)
y = -2x-4
Answer:
d
Step-by-step explanation:
isolate y and evaluate
Answer:
B
Step-by-step explanation:
move the y to the other side and the three to its opposite side
please help me ! :)
Answer:
B. (6, 5)
Step-by-step explanation:
On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).
No other answer choices match up to the points in the table.
I hope this helps :))
Thomasina wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
Answer:
1
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)
A whole number is rational (2 for example can be written as 2/1).
It could have been 2 or 3 or 33.
Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.
Answer:
31.2 dm
Step-by-step explanation:
Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:
[tex]h^2 = a^2 + b^2[/tex]
onde h = hipotenusa
a = unha perna do triángulo
b = outra perna do triángulo
Polo tanto:
[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]
A hipotenusa é de 31,2 dm
what is 15 divided by 82?
82 ÷ 15 = 5.4
Mixed number form: 5 ⁷/₁₅
Answer:
the answer is 5.4
Step-by-step explanation:
Which of these numbers has the greatest absolute value-3 1 -9 5
Do masks increase or decrease the sales of breath mints?
Does anyone understand this
Which statement is true about the right angles ABC and DEF
Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2
Here A is the answer because it has more terms i guess
Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4
Answer:
h=14
Step-by-step explanation:
3/4*1/4=3/16
21/32/(3/16)=14
Answer:
h=25
Step-by-step explanation:
hich number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
#1
Step-by-step explanation:
#1)-3-1.5
you go 3 units left from zero to get to -3
then, you go 1.5 units to the left of -3,
thus getting to -4.5,
#2) in #2 you went to the right to 3 and 4.5, but dude, it is subtraction, so, it should go the opposite way...wrong
#3) you can't change to order of the things in subtraction like in addition, so #3 is wrong answer of 3
#4) like in # 3, you have to go from 0 to (-3) 3 units to the left first, also you go from -3 to -4.5 1.5 units to the left, not -3 to -1.4 -4.5, which makes no sense, steps shown incorrectly to get any single answer at all
#5) you go from -1.5 to 1.5 , then from 0 to -1.5, same as in 4, 3, and 2 you will never get to -4.5, but same as 4 not get any single answer at all
What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answer:
12
Step-by-step explanation:
4a. Classify the triangle below: 1st
name - a. Scalene b. Isosceles c.
Equilateral. 2nd name - a. Acute b.
Obtuse c. Right
4.8
4.8
45°
45°
6.8
Answer:
Right isosceles
Step-by-step explanation:
We have a right angle so the triangle is a right triangle
We have two sides that are equal so it is an isosceles triangle
Vlad tried to solve an equation step by step.
Find Vlad's Mistake.
Answer:
I think that it’s correct
Step-by-step explanation:
Answer:
Vlad did not make a mistake
Step-by-step explanation:
Khan academy 7th grade inequalities quiz 2 and unit test
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?
Answer:
The answer is 108.
Step-by-step explanation:
This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.
Share £639 in the ratio 5:4
Answer:
The ratios are £355 and £284
Answer:
335: 284
Step-by-step explanation:
£639 in ratio 5:4
5+4 =9
639 / 9 = 71
71 × 5 = 355
71 ×285 =284
355:284
Which of the following is equal to the rational expression when x ≠ -6 ?
Answer:
X-6
Step-by-step explanation:
Just did this one
Help with my math plesae 100 POINTS POINT STEALING = REPORT
Answer:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
Step-by-step explanation:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
The converse is interchanging what is given and what is proven.
Answer:
side lengths;a2 + b2 = c2;triangle abc is a right angle
explanation= when you add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2
thats the answer mate hope it helps
pls help on this question
*image
Answer:
216 2/3
Step-by-step explanation:
yoys : frents
6 : 13
We have 100 yoys
100/6 =50/3
Multiply by 50/3
yoys : frents
6 *50/3 : 13*50/3
100 : 650/3
As a mixed number
650/3 frents
216 2/3
Kennedy can type 150 words in 2 minutes. How many words per minute can Kennedy type?
words per minute
Answer:
75
Step-by-step explanation:
Answer:
75wpm
Step-by-step explanation:
150 ÷ 2 = 75
75 wpm
Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.
Answer:
It is irrational because a rational number expressed as the quotient or fraction of two integers
Step-by-step explanation:
The diagram shows two sets of vectors that result in a single vector. What are the first two steps for finding the magnitude of the resultant vector?
A. Find the square of the first horizontal vector and the square root of the first vertical vector
B. Find the square root of the first horizontal vector and the square root of the second horizontal vector
C. Find the sum of the two horizontal vectors in the summer for two vertical vectors
D. Find the difference between the two horizontal vectors and the difference between the two vertical vectors
C. Find the sum of the two horizontal in the summer for two vertical vectors.
Answer:
Can confirm C is right i got 100 on the unit test
Step-by-step explanation:
PLS HELP ITS OK IF U DONT KNOW ONE OF THEM AND IF U HAVE THE WORK PLS PUT IT THANK U!!!
Answer: I hope it helps
FDHIStep-by-step explanation:
[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]
[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]
[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]
y = 2x-4
when x= 0
y = 2(0)-4
y =-4
y = 2x - 4
when x = 1
y = 2(1) -4
y = 2-4
y = 2
and so on....
A - Negative - the more slices eaten , the fewer there are
[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]
Can someone help me with this please!!!
Answer:
first itself we should do the answer and only we can answer it
Step-by-step explanation:
Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.
a. What percentage of gold is 21 carat?
b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =
Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Answer:
A=16 & B=2
Second part is B
Step-by-step explanation:
;)