Answer:
13
Step-by-step explanation:
11.50x7=80.50
5x13=65
80.50+65=145.50
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle.
Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
What is 6.92x10^-3 written in standard form?
What is the unit rate for the Japanese bullet train?
558 x 3 = 1674 miles per hour
558 / 3 = 186 miles per hour
PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP
Answer:
186 Miles per hour.
Step-by-step explanation:
558/3
Find the area of this figure
Area of triangle
a = 6 ft + 2 ft + 2ft = 10 ft
h = 12 ft
½ * 10 ft * 12 ft = 60 sq ft
Area of square :
a = 6 ft
6 ft * 6 ft = 36 sq ft
Area of this figure :
60 + 36 = 96 sq ft
Answer:
156 ft
Step-by-step explanation: (This does not seem to be in scale)
1. Split into one triangle and one square
2. Find triangle area
12 * 10 = 120 ft
3. Find square area
6 * 6 = 36 ft
4. Area = Atriangle + Asquare
120 + 36 = 156 ft
Mary had $70 to spend on 6 books. After buying them she had $16 left. How much did each book cost? Write an equation and show your work.
Answer:
9
Step-by-step explanation:
(70-16)/6=9
/ = division
144 pages in 3 minutes as a unit rate
Solve for x and round to the nearest tenth
Answer:
x = 6.0
Step-by-step explanation:
Given:
Line AB is the hypotenuse
50.1 degrees is an angle
90 degrees is a right angle
Line CB is x and is opposite to the 50.1 degree angle
Line AC is 5 and is adjacent to the 50.1 degree angle
We know we have angles of 50.1 degrees and 90 degrees
We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees
Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj
We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj
tan(50.1) = x/5
x = 5.9979
or
tan(angle) = opp/adj
tan(39.9) = 5/x
x = 5.9979
Round to the nearest tenth:
x = 6.0
Carmen works at a company where she gets a set 5% raise every year. If her current salary is $66,000, what
will her salary be in 12 years?
If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?
Answer: X = -9
Step-by-step explanation:
You can set up a ratio to solve this.
208/13 = -144/x
208x=-1872
x = -9
[tex]\mathbb{ANSWER:}[/tex]
Step 1: Write the equation of variation
[tex]\sf y \propto x[/tex][tex]\sf y = kx[/tex]Step 2: Solve for k or the constant of proportionality
[tex]\sf 208 = k(13)[/tex][tex]\sf \frac{208}{13} = \frac{k(13)}{13}[/tex][tex]\sf k = 16[/tex]Step 3: Solve for x
[tex]\sf -144 = 16x[/tex][tex]\sf \frac{-144}{16} = \frac{16x}{16}[/tex][tex]\sf x = \boxed{\sf -9}[/tex]please help. 5 points!
3. The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players. The model, represented by y = 0.1x – 1.5, is graphed with a scatter plot.
hits
home runs
predicted home runs
12
2
0.3
22
1
1.8
154
26
21.6
145
11
20.3
110
16
15
57
3
7.1
149
17
20.9
29
2
2.9
13
1
0.5
18
1
1.2
86
15
11.4
163
31
23
115
13
15.8
57
16
7.1
96
10
12.9
Use the graph and the table to answer the questions.
a. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?
Answer: 12
Step-by-step explanation:
Find the value of X inches
Answer:
10 in
Step-by-step explanation:
This question can be solved with a proportion. 12 is to 8 as 15 is to x since the triangles are congruent. So solve 12/8=15/x. Then cross multiply to get x=10.
Which equation can be used to represent the data in this table?
y=x−2
y = x + 2
y=12x
y = 2x please answer NOW IF YOU ARE IN K12 PLEASE HELP ME AND IF YOU NOW THE ANSWER I PROMISE I WILL GIVE BRANLIEST BUT PLEASE THIS ID FOR PEOPLE IN K12 OR IT DOESNT MATTER AT ALL IF YOU ARENT K12 AND YOU NOW THE ANSWER
ant Answer:
y=2x
Step-by-step explanation:
y=2x because you go up 2 and 1 to the right meaning, 2 x and 1 y
Select the place where the digit 3 sits in this number. 43,628,698,591
Answer:
That would be three flippin BILLION - i believe that is what ther question is asking, thats the billions place.
Step-by-step explanation:
learn the commas, it goes hundred, hundred thousand, hundred million, hundred billion E.T.C and everything in between.
now, lad take this answer and use it to fulfill your upmost potential in life!
(which involves brainliest for the pinnacle of fulfillment)
Please PLEASE help me!!!
Find AC
Answer:
AC=AB+BC
x=1+9/3
x =4
Ac = 3(4)+1 + 9
Ac = 12+1+9
Ac= 22
Can someone please solve for x and y and than classify the triangle by sides and angles
Answer:
x=23
y=15
Step-by-step explanation:
Using the triangle interior theorem,
All three interior angles of a triangle add up to 180.
So that means angle x+23+134=180
Angle x=23
So x=23
Since two angles have the same measure, that means there are two sides that have same measure. Using the converse of base angles theorem,
If two angles are congruent, then the sides opposite of those angles are congruent.
Since the given angle 23 is opposite of side y and our missing angle (which is 23) is opposite of the side that measures 15.
Side y measures 15.
This triangles is a obtuse isoceles triangle.
What is the only difference when solving inequalities?
Answer:
If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Step-by-step explanation:
Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
What is the measure of EBG?
Answer:
Easy. 41+32= 73 degrees
Step-by-step explanation:
M=7 n=-2 p=4 i really don’t knwo
Answer:
-70
Step-by-step explanation:
m = 7
n = -2
p = 4
[tex]\frac{10mn}{3p-10} \\\\\frac{10(7)(-2)}{3(4)-10} \\\\\frac{70(-2)}{12-10} \\\\\frac{-140}{2} \\\\-70[/tex]
Answer:
-70
Step-by-step explanation:
First we have to substitute the variables for numbers:
10(7)(-2) / 3(4) - 10
Simplify:
-140 / 12 - 10
Now we solve it:
-140 / 2 = -70
Hope this helps :)
WILL GIVE BRAINLIEST!! The data set {2,5,q,10,13,16} has mean x¯=9
Find the value of q
Answer:
#3. 8Step-by-step explanation:
Frequency of data
6Sum of data:
2 + 5 + q + 10 + 13 + 16 = 46 + qSum of data as per mean and frequencies:
9*6 = 54Compare the sums:
46 + q = 54q = 54 - 46q = 8Correct choice is #3. 8
will mark brainiest pls just lmk
Answer:
If asking for the distance, the answer would be C.
A container of disinfectant wipes is in the shape of a cylinder. The cylinder has a DIAMETER of 3 inches and a height of 8 inches.
Calculate the volume of the container.
V = π r 2 h
Greta has 45 minutes before her job interview. She is 15 miles away from the interview. How fast must she drive to be on time for the interview?
Which number is divisible by 2, 3, and 5?
A. 2025
B 3100
C945
Db1230
Answer:
D: 1230
Step-by-step explanation:
1,230 is divisible by 2, 3 and 5
between what two constructive intergers is 152
a. 10 and 11
b. 12 and 13
c. 13 and 14
d. 11 and 12
Answer:
b. 12 and 13
Step-by-step explanation:
I hope I was of use to you! (. ❛ ᴗ ❛.)
Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?
Answer:
32
Step-by-step explanation:
Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:
Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.Centroid (i.e. O) is a point of concurrency of the triangle.By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)
Also, note that:
Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:
Thus:
G = centroid (given)
AB = 6 units (given)
FA = 5 units (given)
EA = EC (equal sides of isosceles triangle)
Therefore:EF = FA = 5 units
EA = EF + FA
SubstituteEA = 5 + 5
EA = 10 units
EC = EA (equal sides of isosceles)
EC = 10 units
AB = CB = 6 units
AC = AB + CB
SubstituteAC = 6 + 6
AC = 12 units
Perimeter of triangle AEC = AC + EA + EC
SubstitutePerimeter of triangle AEC = 12 + 10 + 10 = 32 units
Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
Learn more about centroid of a triangle here:
https://brainly.com/question/350143
Using the Distance Formula
For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)
Answer:
Step-by-step explanation:
since I did 1 already , i'll do 2 - 6 .. fast
using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]
2) sq rt [ (6-1)^2 + (14-2)^2
sq rt [ 25 + 144]
sq rt [ 169]
13
3) sq rt [ (15 - 8)^2 + (35-11)^2 ]
sq rt [ 49 + 576 ]
sq rt [625]
25
4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]
sq rt [ 64 + 225]
sq rt [ 289]
17
5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]
sq rt[ (-1+2)^2 + (-4+3)^2]
sq rt [ 1 + 1 ]
[tex]\sqrt{2}[/tex]
6) sq rt [ 3-(-3)^2 + (5-5)^2]
sq rt [ (3+3)^2 + 0]
sq rt [ 9 ]
3
:) phew.... :P
Any help on this I’ll mark brainliest please
Do people who are the only child have more pets?
Would surveying only the people in your class give you enough information to answer this new question? Explain your reasoning.
Answer: t does sound logical that an only child may be more inclined to have a pet than children in larger families. However we haven’t located any statistics that support that thought.
Our own dad was a single child and did have a dog while growing up. Times were tough back in the those days 1920s to 1945 so he couldn’t have a lot of pets growing up. During WWll he adopted a dog on Siapan and smuggled her home on the ship with him when the war was over.
Growing up he always dreamed of raising dogs, but ended up raising three kids instead. The first born, a boy, loved cats but never had one of his own until he was grown up and had a place of his own. The reason he didn’t have a pet of his own as a child was because 4 years after he was born his twin sisters entered.
We hit the ground with an insatiable need to interact with animals of all kinds. Sure we had each other for companionship but some people are just born with a great need to converse with other species. From the time we entered the household all pets became ours.
As far as statistics go, they do find that families with children are more likely to have pets. It just doesn’t stipulate how many children are in the family.
One of the interesting finds though is that the percentage of childless families are increasing but pet ownership is continuing to grow as well.
Step-by-step explanation:
Answer:
Only children do have more pets because it's something to do. If your class has a mix of only children and people with siblings then you would have enough information.
Step-by-step explanation:
Select all the statements that are true about rhombus MNPQ.
Answer:
your answer will be option A and B
Step-by-step explanation:
hope it helps u
have a wonderful day/night