Answers
Answer: A
Step-by-step explanation:
The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.
[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]
z = 5
To solve for x, we can use sine again but for the 30 degree angle.
[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]
Answer:
x=10
Step-by-step explanation:
The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].
For this triangle
[tex]\sqrt{2}y=5\sqrt{2}[/tex]
so y=5.
Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of
y, [tex]\sqrt{3}y[/tex], and 2y. So
2y=x=10
Related Questions
Question 1 of 10
What is the area of the rectangle below?
J
8
15
A. 23 sq. units
B. 120 sq. units
C.46 sq.units
D.60 sq.units
Answers
Area of rectangle
L × B
8 × 15
15
×8
= 120 sq units
in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?
Answers
Answer:
48%
Step-by-step explanation:
9/10 of the students like going to the movies.
4/5 of 9/10 is 72/100 or 72%.
2/3 of 72 is 48.
So, 48% of the students like popcorn, candy, and going to the movies.
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answers
Answer:
i like cats uwu
Step-by-step explanation:
Una calidad de queso vale los 2/5 de $30.000; una segunda calidad vale 1/3 de $24.000 y una tercera calidad vale el doble de un tercio de $15.000. ¿Cuánto valen juntas las tres calidades de queso?
Answers
Answer:
2/5+1/3=6/15+5/15=11/15
30.000+24.000+15.000 =69.000
A savings account earns 7% interest each year, compounded quarterly (4 times a year). If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 5 years
Answers
Answer:
.
Step-by-step explanation:
Find the slope of the line that passes through (1, 1) and (-3, -5)
Answers
Answer:
3/2
Step-by-step explanation:
(1,1) and (-3,-5)
[tex]\frac{-5-1}{-3-1}[/tex]
Above is the difference of teh y values divided by the difference of x values
we get -6/-4 which is 3/2
I NEED HELP NOW ITS 100 points!!!!!
You are going to paint 3 rooms in your house. Two of the rooms measure 12 ft. by 15 ft. and the third is 15 ft. by 20 ft. The ceilings are 9 ft. high. You are going to paint the 2 rooms the same size the same color. The third room will be a different color. You will paint the ceilings in all three rooms with ceiling white paint. This ceiling paint costs $39.99 per gallon and will cover 250 square ft.. The paint for the two rooms will be tan and costs $27.95 per gallon and covers 320 sq. ft. The paint for the third room will be waterfall blue and will cost $32.50 per gallon and covers 288 sq.ft. How much will it cost to paint these three rooms if the store has a 20% off your entire purchase and sales tax is 7.35%?? *
40 points
Answers
Answer:
im sorry i dont know
Step-by-step explanation:
Business woman Maya spends 1⁄4 hours a day on her cell phone. Her husband Larry spends 3⁄16 hours a day on his cell phone. What is the total time spent on the phone between the couple per day?
Answers
Answer:
45 minutes, or 3/4 hours
Answer:
the 3/4 is wrong this is how it was explained in the answer screen
Step-by-step explanation:
The correct answer is:
Create Equal Denominators
1⁄4 × 4⁄4 = 4⁄16
Total Time Spent
4⁄16 + 3⁄16 = 7⁄16 hours in a day
help me for brainlistt
Answers
Answer:
120 ft squared
Step-by-step explanation:
First you find the areas of all the triangle surfaces and add them up
1/2 * b * h = 21
21 *4 = 84
Find the area of the square base and add the 2 values up
6^2 = 36
36+84 = 120
First you find the areas of all the triangle surfaces and add them up
1/2 * b * h = 21
21 *4 = 84
Find the area of the square base and add the 2 values up
6^2= 36
36+84= 120
HELP!! im using the last of my points for this, im really bad at math and im stressed trying to do this.
Answers
Answer:
D. 19.6in
Step-by-step explanation:
ΔAFC is similar o ΔA'FC'. Therefore, their sides are in ration to one another:
FA/F'A'=AC/A'C'
9/(9+12)=8.4/A'C'
9/21=8.4/A'C'
3/7=8.4/A'C'
A'C'=8.4/(3/7)=19.6
Answer:
D. 19.6in have a good rest of yo life :)
During the rainstorm last week, Dwight and his sister wanted to see how much rain they could collect. In order to do this, they put out 12 three-and-a-half liter containers. Each of these containers was filled four times during the storm. How much rain was collected in all?
Answers
Answer: 168 liters
Step-by-step explanation:
From the information given , we are informed that they put out 12 three-and-a-half liter containers and that each of these containers was filled four times during the storm.
The amount of rain that was collected in all goes thus:
Since each container was filled 4 times, the amount filled by each container will be:
= 3 1/2 liters × 4
= 14 liters
Therefore, the total amount for the 12 containers will be:
= 12 × 14 liters
= 168 liters
triangle ABD~ triangle DBC the perimeter of triangle ABD=36, fond the perimeter of triangle DBC.
Answers
Answer:
Perimeter of ΔDBC = 48 units
Step-by-step explanation:
It's given in he question,
ΔABD ~ ΔDBC
Therefore, by the definition of similar triangles,
Corresponding sides of both the triangle will be proportional.
[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]
[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]
[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]
AD = [tex]\frac{3}{4}DC[/tex] ----------(1)
Since, perimeter of ΔABD = 36,
AB + BD + AD = 36
9 + 12 + AD = 36
AD = 36 - 21
AD = 15
From equation (1),
15 = [tex]\frac{3}{4}(DC)[/tex]
DC = 20
Perimeter of ΔDBC = DB + BC + DC
= 12 + 16 + 20
= 48
Therefore, perimeter of ΔDBC = 48 units is the answer.
Solve 3(x - 2) < 18.
What is x?
Answers
Answer:
x < 8
Step-by-step explanation:
First you divide 18 by 3, which gives you 6.
x − 2 < 6
Then, you add 2 to 6, which gives you 8, which leaves you with :
x < 8
:)
Answer:
X<8
Step-by-step explanation:
Distribute the 3 to get 3x-6<18. Then add the 6 to 18 leaving 3x<24. Then divide 24 by 3 to leave x by itself. x<8
I hope this helped! :)
Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2
Answers
Shifted down 4 units.
Vertical compression
A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answers
Answer:
$115.36
Step-by-step explanation:
Given data
P=$103
r=1.9%
t= 6 years
The expression for the amount is given as
[tex]V = P e ^{r t}[/tex]
substitute
[tex]V = 103*e^{0.019 *6}[/tex]
[tex]V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\[/tex]
Hence the final amount is $115.36
anlatarak cozmicekseniz cevaplamayin:)
Answers
A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar change from Part A?
a: yes, because there are still only two possible outcomes.
b:No, because it is still less likely to have an outcome of drawing a Twix.
c: yes, because it is still less likely to have an outcome of drawing a Twix.
d:No, because there are still only two possible outcomes.
Answers
Answer:
C. Yes,because it is still less likely to have an outcome of drawing a Twix.
Step-by-step explanation:
Select all that apply. Select the formulas that give the amount P in the account after the first period.
Answers
Options :
a.) P=1.005Po
b.) P=1.02Po
c.) P=Po(0.02/4)
d.) P=Po(4.02/4)
e.) P=Po(1+ 0.02/4)
Answer:
a.) P=1.005Po
d.) e.) P=Po(1+ 0.02/4)
Step-by-step explanation:
From the compound interest formula:
P = P0(1 + r/n)^t
Rate = 2% = 2/100 = 0.02
n = Number of compounding times per period, quarterly ; n = (12 /3) months
P = P0(1 + 0.02/4)^1
P = p0(1 + 0.02/4)
Simplifying further :
P = P0(1 + 0.005)
P = p0(1.005)
Write your answer as a decimal or whole number % of 80 =60
Answers
Step-by-step explanation:
number = 15/2 or 7.5
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
The weights of four puppies are shown in pounds
9.5 9
9.125 9 3/4
Which list shows these weights in order from greatest to least?
Answers
Answer:
Least to greatest would be the following: 9, 9.125, 9.5, 9 3/4
I need help with this please :(
Answers
Answer:
b
Step-by-step explanation:
b= luck
Please answer this question CORRECTLY!!!!!
Answers
libro de matemáticas 1 de secundaria pag 108
porfavor es para hoy ಠ﹏ಠ
Answers
con repuesta y todo para mi friend, no mas que las demas no pude contestarlas ya que estava en clase y ahorita estoy haciendo tarea ok
If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?
Answers
Answer:
f(g(x))=1x^2 +-2x+1
Step-by-step explanation:
your inputs should be
1
-2
1
If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{2}[/tex]
g(x) = [tex]x -1[/tex]
f(g(x)) = [tex](x-1)^{2}[/tex]
It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]
= [tex]x^{2} -2(x)(1) +1^{2}[/tex]
= [tex]x^{2} -2x+1[/tex]
f(g(x)) = [tex]1x^{2} -2x+1[/tex]
Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].
Find out more information about function here
https://brainly.com/question/14708913
#SPJ2
PLEASE HELP! ASAP please help
Answers
Answer:
( 3 , -5 )
Step-by-step explanation:
Plzzzzz help!
What is the perimeter of the composite figure?
Answers
Answer:
107.5 cm
Step-by-step explanation:
find the length of the missing side of triangle which is 22.5 rounded then add all the sides together
√32+√42 ÷ √8 +√12 simplify
Answers
Note: It should be 48 instead of 42 because √42 cannot be simplified.
Given:
Consider the given expression is
[tex]\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}[/tex]
It can be written as
[tex]=\dfrac{\sqrt{16\times 2}+\sqrt{16\times 3}}{\sqrt{4\times 2}+\sqrt{4\times 3}}[/tex]
[tex]=\dfrac{4\sqrt{2}+4\sqrt{3}}{2\sqrt{2}+2\sqrt{3}}[/tex]
[tex]=\dfrac{4(\sqrt{2}+\sqrt{3})}{2(\sqrt{2}+\sqrt{3})}[/tex]
[tex]=\dfrac{4}{2}[/tex]
[tex]=2[/tex]
Therefore, the simplified form of the given expression is 2.
Please help me solve this I have work and i can't have anything due late ..
Answers
Answer:
the answer is C i hope this helps
Step-by-step explanation:
Lara made some chocolate tarts for every 5 cups of chocolate chips she added 3 cups of sugar.What is the ratio of chocolate chips into the sugar?
Answers
Answer:chocolate chips : Sugar
5 : 3
Step-by-step explanation:
A ratio tells us the relationship between 2 or more items, explaining how many times the value of one item is contained in another and denoted as either a/b, a to b or a:b.
Here, Lara made chocolate tarts , For every 5 cups of chocolate chip, 3 cups of sugar are added, Therefore the ratio of chocolate chips to sugar is expressed as
chocolate chips : Sugar
5 : 3
Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?
Answers
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
