Answers
Answer:
5.627
Step-by-step explanation:
[tex]5 \times 1 + 6 \times \bigg( \frac{1}{10} \bigg) + 2 \times \bigg( \frac{1}{100} \bigg) + 7\times \bigg( \frac{1}{1000} \bigg) \\ \\ = 5 + 0.6 + 0.02 + 0.007 \\ \\ = 5.627[/tex]
Related Questions
[ matrix 4&2 matrix ]*[ matrix -2&5\\ 7&-1 matrix ]
Answers
Step-by-step explanation:
[4 2] ×[-2/7 5/-1]
[4×(-2)+4×5/4×7+4×(-1) 2×(-2)+2×5/2×7+2×(-1)]
[-8+20/28+(-4) -4+10/14+(-2)]
[12/24 6/12]
HELP PLEASE!!
Given: Isosceles triangle ABC with vertex angle A, equal sides AB and AC, and an angle bisector, BD.
side = 1
angle = 36
BC has a length of 1. To the nearest tenth of a unit, find the lengths of the missing sides.
BD = __ units
AD = __ units
AB = __ units
AC = __ units
Answers
Answer:
BD = 1 unit
AD = 1 unit
AB = 1.6 units
AC = 1.6 units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles are graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 1. The vertical y-axis ranges from negative 10 to 10 in increments of 1. A dashed triangle has vertices at begin ordered pair negative 2 comma 7 end ordered pair, begin ordered pair 7 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. A solid triangle has vertices at begin ordered pair negative 2 comma negative 5 end ordered pair, begin ordered pair negative 5 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. What is the scale factor used to create the dilation? Enter your answer in the box.
Answers
Answer:
CORRECT answer is -3
Step-by-step explanation:
Which is the constant term in the equation given in standard from 5x+3y=15
Answers
Answer:
15
Step-by-step explanation:
The constant is the term without the variable
5x+3y=15
15 is the constant
which statement correctly compares the value in the statement? |-0.073| blank |0.73|
Answers
Answer:
|-0.073| < |0.73|
Step-by-step explanation:
since it is absolute value |-0.073| = .073
and |0.73|= .73
|-0.073| |0.73|
Hello! The answer to your question is:
I believe it is 0.073 < 0.73
I hope this helped you!
Question 9 of 10
2 Points
What is the principal square root of 16?
A. 4
B. -2
C.-4
D. 2
Answers
Answer:
4
Step-by-step explanation:
The right answer is 4.
look at the attached picture
Hope it will help you
Good luck on your assignment
What can you determine from the bar graph shown? *WOULD MARK BRAINLIEST IF IK HOW TO THO
Answers
Answer:
fall dance cost more money?
Step-by-step explanation:
\frac{h^{2}-1 }{h+3} when h=5
Answers
Answer:
3
Step-by-step explanation:
[tex]\frac{h^{2}-1 }{h+3}[/tex]=
[tex]\frac{5^{2}-1 }{5+3}[/tex]=
[tex]\frac{25-1}{8}[/tex]=
[tex]\frac{24}{8}[/tex]=
3
Which choices are equivalent to the expression below? Check all that apply.
3 square root of 6
A. 54
B. 27. VA
c. 27. 2
D.64
E. 18
F 19.6
Answers
[tex]3\sqrt{6} = \sqrt{9}*\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex]
The rule I'm using is
[tex]\sqrt{x}*\sqrt{y} = \sqrt{x*y}[/tex]
note how I rewrote "3" into the square root of 9, so that everything would have a square root over it, and that allows me to use that rule above.
[tex]\sqrt{54}[/tex] equivalent to the expression [tex]3\sqrt{6}[/tex].
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given expression
[tex]3\sqrt{6}[/tex]
We have the property [tex]\sqrt{x}[/tex] × [tex]\sqrt{y}[/tex] = [tex]\sqrt{x.(y)}[/tex]
[tex]3\sqrt{6}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]
= [tex]\sqrt{9.(6)}[/tex]
= [tex]\sqrt{54}[/tex]
[tex]\sqrt{54}[/tex] equivalent to the expression [tex]3\sqrt{6}[/tex].
Find out more information about expression here
https://brainly.com/question/14961928
#SPJ3
The graphs below have the same shape. What is the equation of the blue graph? G(x) =
A. G(x)= (x+4)^2
B.G(x)=x^2+4
C.G(x)= (x-4)^2
D.G(x)= x^2-4
Answers
Answer:
CStep-by-step explanation:
G(x) is transformed from the parent function f(x)=x^2 by:
right 4 units
since we all know that the vertex form of a quadratic equation is y=a(x-h)^2+k
since 4 is h, and k is 0 ( graph is on the x-axis), we can write the equation of this graph:
g(x)=(x-4)^2, which is C
f(x) = x^2 – (x + 3), what is the value of f(8)
Answers
Answer:
53
Step-by-step explanation:
f(x) = x^2 – (x + 3)
Let x = 8
f(8) = 8^2 – (8 + 3)
=64 - (11)
=53
Jack's credit card has a 20% APR. Find the periodic interest rate from June 3
to July 2. Round your answer to two decimal places,
O A. 2.35%
O B. 1.67%
O c. 2.12%
O D. 1.64%
Answers
Answer:
B. 1.67%
Step-by-step explanation:
The periodic rate is the annual interest rate divided by the number of periods.
The period from June 3 to July 2 is a Month.There are 12 Months in a YearTherefore, we divide the annual interest rate by 12.
[tex]20\% \div 12 =1.67\% $(correct to two decimal places)[/tex]
Therefore, the periodic interest rate for Jack's credit card from June 3
to July 2 is 1.67%.
Drag the tiles to the correct boxes to complete the pairs. Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.
Answers
Answer:
[tex]tanC=\frac{c}{b},[/tex] [tex]sinB=\frac{b}{a},[/tex] [tex]tanB=\frac{b}{c},[/tex] and [tex]cosB =\frac{c}{a}[/tex]
Step-by-step explanation:
We can use the phrase SOH-CAH-TOA to help us with this problem. SOH-CAH-TOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, and Tangent = Opposite / Adjacent. This phrase helps to remember which sides of a right triangle get divided by which.
First, we'll evaluate [tex]cosB[/tex]. Referencing CAH (Cosine = Adjacent / Hypotenuse), we know that [tex]cosB[/tex] is equal to the length of the adjacent leg to ∠B, which is c, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]cosB =\frac{c}{a}[/tex].
As for [tex]tanC[/tex], we can refer to TOA (Tangent = Opposite / Adjacent), which means that [tex]tanC[/tex] is equal to the length of the opposite leg to ∠C, which is c, divided by the length of the adjacent leg to ∠C, which is b. Therefore, [tex]tanC=\frac{c}{b}[/tex].
As for [tex]sinB[/tex], we can refer to SOH (Sine = Opposite / Hypotenuse), which means that [tex]sinB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]sinB=\frac{b}{a}[/tex].
Finally, we'll evaluate [tex]tanB[/tex]. As TOA tells us, [tex]tanB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the adjacent leg to ∠B, which is c. Therefore, [tex]tanB=\frac{b}{c}[/tex].
Hope this helps!
At the top hat dance studio, classes cost $20 for 5/6 of an hour. What is the hourly rate
Answers
Answer:
I would say $24?
Step-by-step explanation:
20/5=4
20+4=24
This is because $20 is for 5/6 of an hour, $24 would be for the entire hour.
Answer: its 24
Step-by-step explanation:
i have confirmed!!
Log4x=0 in fraction form showing work. Help
Answers
Work:
Log(4x)=0
First we need to rewrite this in exponential form. Using the definition of logarithm. If x and b are positive real numbers and b≠1, then logb(x)=y is also equivalent to b^9=x
10^0=4x
Rewrite the equation as
4x=10^0
Anything raised to 0 is 1
4x=1
Divide each term by 4
x= 1/4
PLS HELP ASAPPP plsss
Answers
Answer:
27.5
Step-by-step explanation:
this is the trigonometric ratio.. we are looking for d... that is the opposite... any side facing the angel is the opposite.... so the longest side of the right angle triangle is the hypotenuse........ so you are looking for the opposite and you are giving the hypotenuse.... so the easiest way to know how to find it is by using this way...... SOH CAH TOA..... the first words stand for sin cosine and tangent of angles.... we are using sin.... because it says opposite / hypotenuse... and as you can see the angle which is 39 degree we will use sin 39.....what will be sin 39=d/30m....then ull cross multiply.... d=30m* sin 39.....
d = 30m *0.963
d = 28.8
but since 27.5 is dere....
you can round up to 1 sig. f =28
Bob and Sally's mortgage payment increases to $1632.00. Their roof starts to leak and they need to replace it. They budget $500 per month (replace the old student loan charge with roof expense).
Answers
Answer:
List of expenses is attached below.
Total Income = $160 + $6245 = $6405
1) Do Bob and Sally have a surplus or deficit?As mortgage payment has increased, we replace $1580 with $1632 in the table
Replace student loans with roof expense, we replace $544 with $500 in the table.
Find Total Expenses by adding all the values from the table.
Total Expenses = $6660.17
Total Income =$6405
They have a deficit
2) By how much?Deficit = $6660.17 - $6405 = $255.17
Deficit = $255.17
3) They decide to stop putting money in savings. How much their balance be?Savings = 10% of income = 10% OF $6405
Savings = (10/100)· $6405 = $640.5
New total expenses = $6660.17 - $640.5
New total expenses = $6019.67
Balance = Total income - New total expenses = $6405 - $6019.67
Balance = $295.33
4) Do you agree with them removing the savings to create surplus?
Yes, they had to remove the savings to fulfill their expenditures. Otherwise, they would have been spending more than their income, which couldn't last very long
If A = (9, 18) and B = (1, 12), what is the length of AB?
O A. 10 units
B. 12 units
C. 9 units
O D. 11 units
Answers
The length of AB is 10 units.
look at the attached picture
Hope it will help you
Good luck on your assignment
What is the value of x in the equation -2.4x = 8.4?
-20.16
-3.5
3.5
20.16
Answers
Answer:
Step-by-step explanation:
x = 8.4/-2.4 = -84/24 = -3.5
The value of x in the equation is -3.5.
What is the value of x?
Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷.
In order to determine the value of x, divide 8.4 by -2.4
x = 8.4 / -3.5 = -3.5
To learn more about division, please check: https://brainly.com/question/13281206
what’s 38,000 * 16 please help me
Answers
Answer:
608,000
Step-by-step explanation:
The solution of the equation 5 - 2x = -4x – 7 is
1.
1
2.
2
3.
-2
A
-6
Answers
Answer:
x = -6.
Step-by-step explanation:
5 -2x = -4x - 7
Add '4x' to both sides:
5 - 2x + 4x + -4x + 4x -7
5 + 2x = -7
Subtract '5' from both sides:
5 - 5 + 2x = -7 - 5
2x = -12
Divide both sides by '2':
x = -6.
Miguel's lemon cookie recipe calls for 5 cups of sugar. How much sugar would Miguel use to make 3 3/4 batches of cookies?
PLEASE HELP!!!!
Answers
Answer:
18.75 or 18 3/4
Step-by-step explanation:
assuming 5 cups is for 1 batch we can just multiply 5 and 3 3/4 to get our answer.
Which of the following points represents the center of a circle whose
equation is (x-3)2 + (y-2)2 = 16?
A. (3,-2)
B. (3, 2)
C. (-3,-2)
D. (-3, 2)
Answers
Answer: it’s (3,2)
Step-by-step explanation:
How much would 1 case of each fruit cost together? Grid in tori answer as dollars.cents
Answers
Answer:
35.00
Step-by-step explanation:
4a+8p=220
2a+5p=130
if we want to add them we must multiply the 2nd equation by -2
4a+8=220
-4a-10p=-260
0=20
after plugging 20 in, the apples should cost 15
15+20=35
Make x the subject:
y = 6x-7 / 3x-8
Answers
Answer:
I. x=y-7
6
Step-by-step explanation:
y=6x-7
6x-7=y
6x=y-7
6x=y-7
6. 6
x=y-7
6
Answer:
x = [tex]\frac{8y-7}{3y-6}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{6x-7}{3x-8}[/tex] ( multiply both sides by 3x - 8 )
y(3x - 8) = 6x - 7 ← distribute left side
3xy - 8y = 6x - 7 ( subtract 6x from both sides )
3xy - 6x - 8y = - 7 ( add 8y to both sides )
3xy - 6x = 8y - 7 ← factor out x from each term on the left
x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)
x = [tex]\frac{8y-7}{3y-6}[/tex]
please answer fast!!
which graph best represents the solution to 1/2 x -2 = 3?
Answers
Answer:
i believe the answer is D (which is 10)
Step-by-step explanation:
i just took the test. so you have to isolate X, so you add 2 to both sides and on the right you get answer of "5". so then you have to multiply both sides by "2/1" (which is the reciprocal of 1/2) and so on the left side so you're left with just "x", and on the right side you have 2/1 times 5/1 which equals "10".
Using the following image, solve for x
Answers
Step-by-step explanation:
Vertical angles are always equal
4+6x= 70°
6x =70-4 = 66°
x= 11°
We know the angles have a vertical angle and we know that vertices angle are Intercept lines.
Let's set up the equation.
[tex]4+6x=70[/tex]
We will subtract 4 from both sides and get
[tex]6x=66[/tex]
Divide by 6 on both sides
[tex]x=11[/tex]
how do you solve the height?
Answers
Answer:
If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.
I’m confused :( I will mark as Brainliest and give you points
Answers
Answer:
123.5 square inches
Step-by-step explanation:
Given: To find the area of a rectangle, you have to multiply base times height.
To find the area of a triangle, you have to do base times height devided by 2.
Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you 91in square for the rectangle.
Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2, you do 5in•6.5in=32.5in. 32.5in divided by 2 is 16.25in square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.
We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=32.5in square for both of the triangles.
Now we add it all up: 32.5+91=123.5 square inches
T&L - Math 7 - Volume 7.4 -19-20
Directions: Type your answer in the box below
A cube with an edge length of 8 must be filled completely. How many cubic centimeters will
be needed? Type your answer in the box
The diameter and height of a cylindrical container are shown.
Answers
Answer: You would need 512 cubic centimetres
Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.
If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.
The volume of a cube is given as follows;
V = L x W x H (and the answer is expressed as V³)
Since the length , width and height all measure 8 cm, the volume can simply be expressed as
V = L x L x L
V = L³
V = 8³
V = 512 cm³
Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.
