Find the area of the composite figure. Show your work. What is the area of the figure?
Answer:
46 units²
Step-by-step explanation:
The figure can be decomposed into 2 triangles and a rectangle.
Area of rectangle = L*W
W = 4
L = 8
Area = 32 units²
Area of triangle 1:
Area = ½(b*h)
b = 3
h = 4
Area = ½*3*4
Area = 6 in.
Area of triangle 2:
b = 4
h = 4
Area = ½*4*4
Area = 8 units
✅Area of the figure = 32 + 6 + 8
= 46 units²
Find an expression for the perimeter of the rectangle. Write your answer in standard form.
Answer:
B. 12x + 8
Step-by-step explanation:
2x + 5 + 4x - 1 + 2x + 5 + 4x - 1
Combine like terms.
6x + 5 - 1 + 2x + 5 + 4x + 1
8x + 5 - 1 + 5 + 4x - 1
12x + 5 - 1 + 5 - 1
12x + 10 - 1 - 1
12x + 10 - 2
Subtract 2 from 10 to get 8.
12x + 8
The perimeter of the rectangle is 12x + 8, which is B.
Kyle bought a ticket to see his favorite basketball team playing at home. His seat is in the terrace section, about 178 feet from the center of the court. If the angle of depression to the court is 59 degrees, which of the following represents the height Kyle is sitting? Round to the nearest tenth.
Answer:
128.6
Step-by-step explanation:
I just did the math
A tuna can has a diameter of 5.3 cm and a height of 4.1 cm. What is the volume of a cylindrical package
containing 5 tuna cans? Round your answer to the nearest whole number
Using the formula v = pi x r^2 x h
pi x 18.0625 x 4
You will get the answer= 72.25pi
and rounded you get
=
72pl
Factorise x^2 + 10x + 16
Can someone just plz help me I'm begging plz
Answer:
x=70°
Step-by-step explanation:
Three triangles can be made out of that shape so total int. angles = 3 x 180°=540°.
so 40 + 110 + 4x + 40 + x = 540°
190+5x=540°
5x=350°
x=350/5=70°
If x2 + 12x + n is a perfect square trinomial,
then n =?
Answer:
The answer is n=36 Hope this helps^_^
Step-by-step explanation:
plz give brainliest and rating
An eight minute phone call cost $3.36. What rate describes the cost for each minute?
Answer:
0.46 a minute or 46 cents a minute
Step-by-step explanation:
$3.36 divided by 8 is 0.46 or 46 cents
find the length of side X in simplest radical form with a rational denominator
Answer:
6
Step-by-step explanation:
Since the two angles (base ) are equal therefore the sides opposite to them will also be equal . Therefore , the value of x will be 6 .
Hence the value of x is 6.A binder is 9 inches wide, 12 inches long and 1.5 inch thick. what is the volume of documents the binder can hold?
Answer:
162 square inches
Step-by-step explanation:
9*12*1.5
Answer:
162 cubic inches
Step-by-step explanation:
9 times 12 times 1.5
The function m is given in three equivalent forms. Which form most quickly reveals the vertex
Answer:
m (x) = -2(x-6)^2 +18
Step-by-step explanation:
Al resolver la suma de ¾ + 5/4 obtenemos como resultado
Answer:
2
Step-by-step explanation:
3/4+5/4=8/4=2
3(x + 2y) + 8 + 5y = 3 × x + 3 x 2 x y + 8+ 5y
?x +?y+8 + 5y
help pls I will mark you if you answer
Joe says that x
+ 5x = 16
and
x+ + 5x + 25 = 16
are equivalent equations. Is he correct? Explain your
thinking.
Yes
No
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
| Una empresa monopoliza un mercado cuya demanda es Qd = 25-0,25P. Las condiciones de costo de esta empresa son: CVMe = Q y CF = 100. 1) Determinar: a) ¿Cuántas unidades producirá y a qué precio? b) ¿Cuál es el beneficio empresario? c) ¿Cuál es la elasticidad precio de la demanda en el punto de equilibrio?
Answer:
Step-by-step explanation:
If this is a perfect square trinomial, factor it 2 + 5x + 25 O(x + 5)? This is not a perfect square trinomial. 0 0 (x – 5)? o (x + 5) (2 5)
Answer:
There is one "special" factoring type that can actually be done using the usual methods ... "Perfect square trinomials" are quadratics which are the results of squaring binomials. ... This means that I'll have a "plus" sign between the x and the 5. ... it had a middle term of –25x, and this does not match what the pattern requires.
Step-by-step explanation:
Amelia needs to buy some dog food. At the nearest store, 6 bags of dog food cost $34.50. How
much would Amelia spend on 2 bags of dog food? ASAP
Answer:
34.50/3=11.5 SOOOOO- the answer will be 11.50$ (11 bucks 50 cents)
Step-by-step explanation:
Answer: Amelia would spend exact $28.75
Which proportional goes into 12/15 ?
Answer:
-80%
Step-by-step explanation:
can someone please solve this
Step-by-step explanation:
y= -3x/2+b
at (-4,9)
9= -3(-4)/2+b
9= 12/2 +b
9=6+b
b=3
Rearranging:
3x/2 + y = 3
Geometry help please. Find HI.
Answer:
15
Step-by-step explanation:
Both triangles are congruent, so RS and JI have a 1:5 ratio.
3 x 5 = 15 for HI
PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.
Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.
How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £
Answer:
Account 1: £720, account 2: £1227.38, account 3: £950.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the arcs are represented by 3x+3 and 10x-14, find the measure of the LARGER of these two arcs.
Answer:
76degrees
Step-by-step explanation:
Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;
Angle at the vertex = 53 degrees
Half the sum of intercepted arcs = 1/2(3x+3+10x-14)
Half the sum of intercepted arcs = 1/2(13x-11)
Equating to the vertex to find x
1/2(13x-11) = 53
13x - 11 = 2 * 53
13x - 11 = 106
13x = 106 + 11
13x = 117
x = 117/13
x = 9
For the arc 3x + 3
= 3(9) + 3
= 27 + 3
= 30degrees
For the arc 10x - 14
= 10(9) - 14
= 90 - 14
= 76degrees
Hence the measure of the larger of the two arcs is 76degrees
What is sandwich theorem?
In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.
the table shows the costs of different size jars of peanut butter. Which of the jars have the lowest unit rate?
Answer:
Step-by-step explanation:
Option C) 25-oz jar has the lowest unit rate
What is the unit rate?Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc
Given here the cost of a 12 oz jar is $3
so the unit rate of a 12 oz jar is = 12/3
= 4
similarly, the unit rates of all the jars from the given table are
18 oz jar = 18/4.40
= $4.09
25 oz-jar = 25/6.75
= $3.703
32 oz jar = 32/8.25
= $3.87
Hence the jar with the lowest unit rate is the 25 oz jar
Learn more about the unit rate here:
https://brainly.com/question/29781084
#SPJ2
can someone please help me
Answer:
y - 4 = 3(x-3)
Step-by-step explanation:
in the figure OP= 1 what are the coordinates of Point p
Answer:
C. (cos θ, sin θ)Step-by-step explanation:
The x-coordinate of P:
x/OP = cos θ ⇒ x = OP cos θ = cos θThe y-coordinate of P:
y/OP = sin θ ⇒ y = OP sin θ = sin θThe coordinates of point P are:
(cos θ, sin θ)Correct choice is C
Distance from x axis
sinØ=x/OPx=OPsinØ=sinØDistance from y axis
y=OP cosØy=cosØP(cosØ,sinØ
7/8•1/2??? I can’t do it in my head put it in fraction from please
Answer:
[tex]\frac{7}{16}[/tex]
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{7}{16}[/tex]
7 x 1 = 7
8 x 2 = 16
Let me know if this helps!
How to get a one to one function with the same range as the original ?
function using is 4x^2+8x+1
Answer:
you should try math sway but take out the s
Step-by-step explanation:
Find the perimeter and the area of the polygon with the given vertices N (-4,2) , P (5,2) , Q (5,5) , R (-4,5) PLEASE ANSWER
Answer:
Perimeter = 24; Area = 27
Step-by-step explanation:
If you draw out the coordinates on paper you can clearly see side lengths be seeing how far away they are from eachother on the axis'
From Point N to point P it travels the x axis by 9 units.
Therefore the bottom side is 9 units long.
From Point N to Point R it travels the y axis by 3 units
therefore the left side length is 3 units long
Area = b*h = 9*3 = 27
Perimeter = 2b + 2h = 2*9 + 2*3 = 24