Answer:
d = 19.8 cm
Step-by-step explanation:
Use the law of cosines
[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]
= 100 + 196 - 280 cos 110
= 296 - (-95.765640)
= 391.765640
[tex]d = \sqrt{391.7656401}[/tex]
d = 19.8 cm
What is the length of a diagonal of rectangle EFGH?
Answer:
Step-by-step explanation:
So it is 3 by 7 rectangle and diagonal
FE=3 EH=7 so FH=6
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of $1,000 per first-class seat, the total selling price for one new row is
f(r) = 4,000r. Each row in first class eliminates two rows of economy seats. Using the average selling price of $150 per economy seat, the total price for each pair of removed rows is e(r) = 1,800r.
Which is d(r), the profit or loss for adding r rows of first class seats?
A. d(r) = 2,200r
B. d(r) = 5,800r
C. d(r) = –2,200r
D. d(r) = –5,800r
Step-by-step explanation:
From the original question, we can rewrite this as:
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?
f(r) = 4000r
e(r) = 1800r
d(r) = ? (profit or loss)
Assuming we had added a row of first class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, OPTION A.) d(r) = 2200r
The value of d(r) will be 2200r. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Assuming we had added a row of first-class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, the value of d(r) will be 2200r. The correct option is A.
To know more about an expression follow
https://brainly.com/question/16004066
#SPJ2
3x-4y=16 slope and intercept form
Answer:
y=3/4x-4
Step-by-step explanation:
The form is y=mx+b so isolate y
-4y=16-3x
y=-16/4-3x/-4
y=3/4x-4
Answer:
y = 3/4x - 4
Step-by-step explanation:
Slope intercept form: y = mx + b
3x - 4y= 16
-4y = 16 - 3x
4y = -16 + 3x
y = -4 + 3/4x
y = 3/4x - 4
Mike collects trading cards. His favorites are baseball and football cards. For every 3 basebali cards he owns, Mike has 5 football cards. What is the ratio of baseball cards to football cards in his collection ?
Answer:
56 cards
Step-by-step explanation:
If 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.
7x8=56
56 is the answer because if 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.
what did you put for #3?
Answer:
huh
Step-by-step explanation:
I WILL GIVE BRAINLIEST IF CORRECT
Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
Consider the equation: x^2+10x+22=13
Need help asap!!!!
this is due in a hour!
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
the ratio of students to laptops in a school is 3:2 if there are 1,200 students, how many laptops are there?
Answer:
1200:800
Step-by-step explanation:
1200÷3=400
400×2=800
800 laptops
Answer:
800 Laptops
Step-by-step explanation:
3:2 = 1200:x
I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.
Write a System of Equations to solve the following problem:
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
#students each VAN can carry:
#students each BUS can carry:
Answer:
each van carries 7 students
each bus carries 60 students
Step-by-step explanation:
let v = # students in a van
let b = # students in a bus
system of equations:
13v + 2b = 211
4v + 4b = 268
I multiplied the 1st equation by -2 to eliminate the 'b' terms
-26v - 4b = -422
+ 4v + 4b = 268
-22v = -154
v = 7
substitute '7' for 'v':
4(7) + 4b = 268
28 + 4b = 268
4b = 240
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
Step-by-step explanation:
Let v = number of students in each van.
Let b = number of students in each bus.
High School A:
13v + 2b = 211
High School B:
4v + 4b = 268
The system of equations is
13v + 2b = 211
4v + 4b = 268
We will solve this system of equation with the addition method.
Write the first equation as it is. Divide both sides of the first equation by 2 and write it below the first equation. Then add the equations.
13v + 2b = 211
(+) -2v - 2b = -134
----------------------------
11v = 77
Divide both sides by 11.
v = 7
Substitute 7 for v in the first original equation and solve for b.
13v + 2b = 211
13(7) + 2b = 211
91 + 2b = 211
Subtract 91 from both sides.
2b = 120
Divide both sides by 2.
b = 60
Answer:
13v + 2b = 211
4v + 4b = 268
#students each VAN can carry: 7
#students each BUS can carry: 60
Mary spent a total of $291.30 for a party she spent $200.37 on food plus an additional $30.31 for each hour of the party how long was the party
Step-by-step explanation:
total money = $291.30food money = $200.37party money = total money - food money = $291.30 - $200.37 = $90.93party money each hour = $30.31party hour = $90.93 ÷ $30.31 = 3hoursMARK ME BRAINLISTPLZ FOLLOW MELengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct
In this diagram, the measure of
Answer:
2x - 60 = 180
Step-by-step explanation:
Angles RQS and PQS form a linear pair, so they are supplementary.
The sum of their measure is 180°.
Both angle measures are unknow, so let's use x for the measure of <PQS.
The measure of angle RQS is 60° less than the measure of <RQS, so it is
x - 60
Now we add the measures and set the sum equal to 180.
x + x - 60 = 180
Combine like terms on the left side.
2x - 60 = 180
Answer: 2x - 60 = 180
Write each power as a product of the same factor. Then find the value. 7^2
Answer:
49
Step-by-step explanation:
7^2=49
Help please some one
Answer:42
Step-by-step explanation:
16+16+10
What is 20.30 - 19.70 and what are the solving steps?
Answer
0.6
Step-by-step explanation:
here is the working out! Can i get brainliest
Answer:
Look at the image!!
Step-by-step explanation:
Hope this helps!!
Sorry for the bad righting XD
If you want to learn more search Mathisfun.com!!
A box has the following dimensions: length = x +7, width = x - 4, height = 2x-6. Find the volume of the box if x is 5
Simplify Please and Thank you!
Answer:
[tex]2\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]
SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L
Answer:
128.2
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:
[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]
HELP ILL MARK YOU BRAINLIST
Answer:
[tex]-\frac{3}{2}[/tex]
Rome had to pay yearly
tribute to Carthage..
Is this true or false
Answer:
True
Step-by-step explanation:
At least that's what wiki says
2/100+5/10 find the sum
Answer:
0.52
Step-by-step explanation:
2/100=0.02, and 5/10=0.5. 0.5+0.02=0.52
The sum of the interior angles of each polygon is 360°. In the diagram ABCD=HGEF find the values of x and y look at photo below
Answer:
x = 3
y = 60°
Step-by-step explanation:
The given parameters of the figures are;
The sum of the interior angles of each polygon (quadrilaterals) = 360°
Quadrilateral ABCD = Quadrilateral HGEF
∴ ABCD ≅ HGEF
Therefore;
Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent
∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.
∴ 3 ft. = x ft.
x = 3
Similarly, we have;
∠A + ∠B + ∠C + ∠D = 360° Given
∠B = 100°, and ∠D = 70° Given
∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°
∠A + ∠C = 190°
∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent
∴ ∠A = ∠G and ∠C = ∠E By definition of congruency
∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property
∠G = (2·y + 2)°, and ∠E = (y + 8)° Given
∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°
3·y = 190° - 10° = 180°
y = 180°/3 = 60°
y = 60°
The value of x and y are 3 feet and 72 degrees respectively
Angle in a quadrilateral.From the given quadrilaterals, the sum of adjacent angles is 180 degrees.
Hence from figure;
m<E + m<F = 180m<B = m<F = 100y + 8 + 100 = 180
y + 108 = 180
y = 180 - 108
y = 72degrees
Similarly;
m<D = mG = 70 degrees.
AB = GH = 3 feet
Hence the value of x and y are 3 feet and 72 degrees respectively
Learn more on Angle in a quadrilateral here: https://brainly.com/question/10975107
Simplify to create an equivalent expression. 8(10-6q)+3(-7q-2)}8(10−6q)+3(−7q−2)
Answer:
-69q+74
Step-by-step explanation:
Distribute:
80-48q-21q-6
Simplify:
74-69q
PLZ PLZ PLZ I NEED HELP!!!!
Answer:
The answer is B
Step-by-step explanation:
Divide the distance by the time.
please solve this for me
Answer:
its A
Step-by-step explanation:
TRUST!
Mrs. Gilbert is interested in determining how many students spend 4 or more hours doing homework each week. She asks every student who earned Honor Roll for the first semester. Is her survey biased or unbiased?
A. biased, because she didn't ask random students
B. unbiased, because she asked every student on honor roll
C. biased, because she only asked students on honor roll
D. unbiased, because first semester is over
Answer:
C. Biased, because she only asked students on honor roll.
Step-by-step explanation:
Since Mrs. Gilbert's goal was to find how many students that spent >4 hours and not how many students that earned Honor Roll that spent >4 hours, the data is biased. Choose C.
In ΔQRS, q = 370 cm, r = 910 cm and ∠S=31°. Find the length of s, to the nearest centimeter.
Answer:623
Step-by-step explanation:
5x + 2 <22
Inequality
Answer:
the answer to the inequality is
Step-by-step explanation:
x = 3
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]5x < 22 - 2[/tex]
2) Simplify 22 - 2 to 22.
[tex]5x < 20[/tex]
3) Divide both sides by 5.
[tex]x < \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x < 4[/tex]
So, therefor, the answer is, x < 4.
The radius of a circle is 9 millimeters what is the circle area
Answer:
The answer is 256.34mm^2
Step-by-step explanation:
Radius = 9mm
Area = πr^2
Area = 3.14×(9)^2
Area = 3.14×81
Area = 256.34mm^2