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Related Questions
In ️FGH, f=65 inches, g=48 inches and h=70 inches. find the measure of
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Let's take a look at our triangle:
Using the law of cosines, we'll get that:
[tex]G^2=F^2+H^2-2FH\cos \angle G[/tex]Solving for angle G, we'll get:
[tex]\begin{gathered} G^2=F^2+H^2-2FH\cos \angle G \\ \rightarrow2FH\cos \angle G^{}=F^2+H^2-G^2 \\ \rightarrow\cos \angle G=\frac{F^2+H^2-G^2}{2FH} \\ \\ \rightarrow\angle G=\cos ^{-1}\frac{F^2+H^2-G^2}{2FH} \end{gathered}[/tex]This way,
[tex]\begin{gathered} \angle G=\cos ^{-1}\frac{65^2+70^2-48^2}{2(65)(70)} \\ \\ \Rightarrow\angle G=41 \end{gathered}[/tex]What is the answer to this problem?
Answers
Answer:
see explanation
Step-by-step explanation:
solving the inequality
3 ≤ 4x - 13 ≤ 7 ( add 13 to each interval )
16 ≤ 4x ≤ 20 ( divide each interval by 4 )
4 ≤ x ≤ 5
the solution lies between 4 and 5 and can be equal to 4 and 5
this is indicated on Graph A
3.13 Which triangle congruence postulate or theorem proves that these triangles are congruent?
Answers
The triangle congruence postulate which proves that these triangle are congruent is SAS (Side Angle Side).
According to the SAS Postulate,
Two triangles are said to be congruent if their two sides and included angles are identical to those of another triangle's two sides and included angle.
According to the figures of the triangles, we can see
AC = XZ (Side)
∠ACB = ∠XZY (Angle)
BC = YZ (Side)
Hence, ΔABC ≅ ΔXYZ by SAS postulate.
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What is the value of the missing exponent in the equation 652 : 10- = 0.652?
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Given the following expression:
[tex]\frac{652}{10^{^-}}=0.652[/tex]notice that the right side of the equation has a decimal number that goes up to the thousandth, therefore, the missing exponent in the equation is 3, since:
[tex]\frac{652}{10^3}=\frac{652}{1000}=0.652[/tex]Round 7605 to the nearest hundred.
Answers
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule B applies and 7605 rounded to the nearest hundred is:
7600
Answer:
Your answer would be 7,600.
Step-by-step explanation:
7,605 rounded to the nearest hundred would be 7,600 because:
The 7 is the thousands.
The 6 is the hundreds.
The 0 is the tens
The 5 is the ones.
So, we need to find which number makes sense to round. Is 605 closer to 600 or 700? 600. So, we have: 7,600
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The sum of 3 consecutive evennumbers add up to 1002. Find the threenumbers.
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Let the three consecutive even number be,
x, x+2, x+4
Sum of the numbers is 1002.
[tex]\begin{gathered} x+x+2+x+4=1002 \\ 3x+6=1002 \\ 3x=996 \\ x=332 \end{gathered}[/tex]Hence, the numbers are,
332, 332+2, 332+4
Hence, the answer is 332, 334, 336.
Suppose that you borrow $15,000 for 4 years at 5% toward the purchase of your car. use pmt to find the monthly payments and the total interest for the loan
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The formula for the monthly loan payment is given as
[tex]A\text{ = }P(\frac{r(1+r)^n}{(1+r)^n-1})[/tex]Where
P = loan amount ( initial principal) = $15000
A= Payment amount per period = ?
r = interest rate per period = (5/12) x (1/100) =0.0041667
n = total number of payments or periods = 4 years = 4 x 12 = 48 months
Substituting all these into the above equation gives
[tex]A\text{ =15000( }\frac{0.0041667(1+0.0041667)^{48}}{(1+0.0041667)^{48}-1})[/tex][tex]A\text{ = 15000(}\frac{0.0041667(1.0041667)^{48}}{(1.0041667)^{48}-1})[/tex][tex]\begin{gathered} A\text{ = }15000(\frac{0.0041667\text{ }\times1.2208973}{1.2208973\text{ - 1}}) \\ A=\text{ 15000(}\frac{0.005087112781}{0.2208973}) \end{gathered}[/tex][tex]\begin{gathered} A=15000(0.023029311) \\ A=\text{ \$345.4396759} \end{gathered}[/tex]So each month he pays $345.44 to the nearest cent
B)
The total interest for the loan is given by
Total amount paid over the total period of time - Original amount borrowed
Total amount paid over the total period of time = 345.44 x 48 months = $16581.12
The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12
The total loan interest to the nearest cent = $1,581.12
These two lines are parallel. Write an equation for each.
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Answer:
Top: y = x
Bottom: y = 0.8x - 3.2
Step-by-step explanation:
I can see the question is asking to write the equation in Slope-Intercept form.
Slope-Intercept Form:
y = mx+b
M is the slope or how much the y value increases every time the x value increases by one. b is the y-intercept or when x=0.
Because these lines are parallel, we know they have the same form.
Lets look at the top line. When x increases by one, how much does y increase by?
1
What is the y value of when the line's x-value is 0?
0
Now, we have,
y = 1x + 0
Because adding 0 keeps the equation the same, we can remove it.
y = 1x
Because multiplying a term by 1 leaves it the same, we can remove one.
y = x
Now, for the bottom line.
How much does y increase by when x increases by 1? Because the slope will be a fraction and is not easy to see, I will use the slope formula.
Slope Formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the slope, take any pair of points on the line and plug them in.
I'll use:
(0,-3.2)
(4,0)
Plug the y-values (the latter number, or the height of the point) into the formula. Do the same with the x-values. keep in mind it does not matter what y-value you plug in. For example, for [tex]y_2[/tex] and [tex]y_1[/tex] you can plug in -3.2 and 0 or vice versa. If you make [tex]y_2[/tex] -3.2, then make [tex]x_{2}[/tex] 0.
[tex]\frac{-3.2-0}{0-4}[/tex]
Simplify.
[tex]\frac{-3.2}{-4}[/tex]
Because a negative number multiplied or divided by another negative number is always a positive number, remove the negative signs.
[tex]\frac{3.2}{4}[/tex]
Divide.
3.2/4 = 0.8
Now we have m, the slope on the 2nd line, 0.8
y = 0.8x + b
What is the y-value of the line when the line has the x-value of 0? On the graph, it says -3.2.
y = 0.8x - 3.2
A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 49 minutes? In one hour?
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In 49 minutes the car will travel 2/147 miles
In 60 minutes the car will travel 1/90 miles
How to determine how far the car will travel in 49 minutesThe concept of average speed is used here. The formula is
= distance covered / time
= 2 1/3 / 3 1/2
= 2.3333 / 3.5
= 2/3
= 0.6667 miles per minutes
In 49 minutes
2/3 = distance / 49
distance = 2/3 / 49
distance = 2/147
= 0.0136 miles
In one hour = 60 minutes
distance = 2/3 / 60
distance = 1/90
= 0.0111 miles
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What is a proportional relationship in YOUR OWN WORDS
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If all of the ratios of the variables are equal, then there is a proportional link between the two variables.
Explain about the proportional relationship?One variable is usually a constant value multiplied by the other in proportional interactions. The proportionality constant is the name given to the constant value.
A set of equal ratios connected to one another by a constant of proportionality make up a proportional relationship between two quantities. Different, related representations of proportional connections include tables, equations, graphs, and written descriptions.
We'll now look at a real-world illustration of a proportionate relationship: There is a correlation between the quantity of fuel we put in our car's tank and the price we will have to pay when we fill it up. In other words, we will pay more money the more gas we put in.
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Hello could you please help me on questions 2 and 4 I don't understand them?
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Given:
2. (2, 4), slope 2
we will write the equation of the line that passes through the point (2, 4) and has slope = 2
We will write the equation of the line using the point-slope form which is:
[tex]y-k=m\cdot(x-h)[/tex]where (m) is the slope and the point (h, k)
so,
m = 2
h = 2
k = 4
So, the equation will be:
[tex]\begin{gathered} y-4=2(x-2) \\ y-4=2x-4 \\ y=2x \end{gathered}[/tex]so, the answer will be the equation of the line is:
[tex]y=2x[/tex]100 POINTS FOR THIS!!!
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Answer: $5 for each vinyl,$4 for each CD,and $1 for each electronic download
Step-by-step explanation:
Answer:
$5 vinyl
$4 CD
$1 every electronic download
Step-by-step explanation:
good luck
Solve the following equationX-3(x+2)=4 X - 3 ( x + 2 ) = 4
Answers
Given: X-3(x+2)=4X-3(x+2)=4
Find: the solution of the given equation
Explanation:
[tex]\begin{gathered} X-3(x+2)=4 \\ X-3x-6=4 \\ X-3x=10......................(1) \\ 4X-3(x+2)=4 \\ 4X-3x-6=4 \\ 4X-3x=10...........................(2)\text{ } \end{gathered}[/tex]on solving equation (1) and (2) , we get
Answer:
x = -5
Step-by-step explanation:
Solve for 'x':x - 3(x + 2)= 4
x - 3x - 3*2 = 4 {Distributive property}
x - 3x - 6 = 4
Combine like terms in LHS,
-2x - 6 = 4
Add 6 to both sides,
-2x = 4 + 6
-2x = 10
Divide both sides by (-2)
x = 10 ÷ (-2)
[tex]\sf \boxed{x= -5}[/tex]
Please can someone answer this question it would be much appreciated
Thanks so much :)
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Answer:
Step-by-step explanation:
I need help again, please.
Answers
Answer:
:-f(x)=x²-2x-24
Step-by-step explanation:
according to the rules of polynomial
f(-4) is the same thing as (x+4)
f(6) is the same thing as (x-6)
how?
x+4=0; x=-4
x-6=0; x=6
(x+4)(x-6)
x²-6x+4x-24
x²-2x-24
:-f(x)=x²-2x-24
award me
[tex]g(x) = 3 log(x + 7) - 8[/tex]is this function increasing or decreasing?
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Given function : g(x)=3log(x+7) -8
A function is said to be increasing if the derivative of the function is greater than 0,
and it said to be decreasing tof the derivative of the function is less than 0,
Differentiate the given function with respect to x,
[tex]\begin{gathered} g(x)=3\log (x+7)-8 \\ \frac{dg(x)}{dx}=\frac{d(3\log (x+7)-8)}{dx} \\ g^{\prime}(x)=3\frac{d\log (x+7)}{dx}-\frac{d(8)}{dx} \\ g^{\prime}(x)=\frac{3}{x+7}-0 \\ g^{\prime}(x)=\frac{3}{x+7} \\ \text{ since if x}>7\text{ then the function will be negative, } \\ g^{\prime}(x)<0, \\ \text{thus function at }7Answer :at x >7 , the function g(x) will be decreasing
at x <7 the function g(x) will be increasing.
1.5x - 0.25y + 3.5x - 0.75y
Answers
Answer:
5x-1y
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. (1.5x+3.5x)-(0.25y+0.75y)
2. 5x-y
3. The answer is 5x-y.
A right circular cone with a radius of 3 cm has a slant height of 5 cm. A right cylinder with a radius of 4 cm has a height of 6 cm. What is the number of full cones of water needed to completely fill the cylinder with water?.
Answers
About 3 full cones of water are needed to be added to the cylinder to completely fill it.
The radius of the right circular cone is 3cm and the slant height is 5 cm.
The height of the cone can be found as,
H = √(5)²- (3)²
H = 4cm
The volume of the cone is given by,
V = πR²H/3
R is the radius and H is the height of the cone,
Putting values,
v = π x 5 x 5 x 4/3
v = 104.71 cm³
Now, the height h of cylinder is given to be 6 cm and the radius r of the cylinder is 4cm.
The volume of the cylinder is given as,
V = πr²h
V = π x 4 x 4 x 6
V = 301.59
Let us assume that we have to add n full cones of water to completely fill the cylinder, so, we can write,
nv = V
Putting values,
n104.71 = 301.59
n = 2.85
So, we have to add roughly three full cones of water to completely fill the cylinder.
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Which expression is equivalent to the fraction below?
2/5
A. 2.2
B. 5.5
C. 5.2
D. 2.5
E. 2+5
F. 2 ÷ 5
Answers
Answer:F
Step-by-step explanation:
2/5=2 ÷ 5=0.4
Avenger uses 9.4 pints of white paint and blue paint to paint her bedroom walls 4/5 of this amount is white paint in the breast is blue paint how many pints of blue paint did you use to paint her bedroom walls
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Avenger uses 9.4 pints of white paint and blue paint to paint her bedroom walls 4/5 of this amount is white paint in the breast is blue paint how many pints of blue paint did you use to paint her bedroom walls
Let
x ----> pints of blue paint
y ----> pints of white paint
we have
x+y=9.4 -----> equation A
y=(4/5)*9.4
y=7.52
Find the value of x
x=9.4-y
x=9.4-7.52
x=1.88
therefore
answer is
1.88 pints of blue paintThe graph of FX), shown below, has the same shape as the graph ofG(X) = x2, but it is shifted to the left 3 units. What is its equation?FX) ----A. F(x) = x² + 3B. FX) = (x - 3)2C. FX) = x2.3D. Rx) = (x + 3)?
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We can represent the horizontal shift of a quadratic equation by adding or subtracting the constant h to the function
[tex]\begin{gathered} f(x)=a(x-h)^2+k \\ \text{where} \\ h\text{ is the horizontal shift} \end{gathered}[/tex][tex]\begin{gathered} \text{The function }f(x)\text{ has a default values of} \\ a=1 \\ h=0 \\ k=0 \\ \\ \text{A shift to the left of 3 units means that we will have }h=-3\text{ that means} \\ \\ F(x)=(x-(-3))^2 \\ \\ \text{Simplify},\text{ and we get} \\ F(x)=(x+3)^2 \end{gathered}[/tex]FIND THE MISSING EXPONENT
x^ • x^3 = 1/x^2
Answers
Step-by-step explanation:
x^y × x^3 = 1/(x^2) = x^(-2)
that means
y + 3 = -2
y = -5
the missing exponent is -5
x^(-5) × x^3 = 1/(x^2)
Answer:
Step-by-step explanation:
Hi Ashley, this looks harder than it really is :)
recall your powers rules
so [tex]x^{2}[/tex] * [tex]x^{2}[/tex] = [tex]x^{2+2}[/tex]=[tex]x^{4}[/tex]
knowing that you can probably figure this out. But I'll help anyway
[tex]x^{?+3}[/tex] = 1 / [tex]x^{2}[/tex]
now flip over the fraction to make this even easier
[tex]x^{?+3}[/tex] = [tex]x^{-2}[/tex]
ohhhh I bet you can see it now, huh
we just need 3 plus something to equal -2
that's negative 5 , right???
[tex]x^{-5+3}[/tex] = [tex]x^{-2}[/tex]
ahh, nice , now just break it back up
[tex]x^{-5}[/tex] * [tex]x^{3}[/tex] = 1 / [tex]x^{2}[/tex]
got it???
A line segment is graphed on the coordinate plane. What point divides this segment in the ratio 2:3 ?
Answers
we have the points
A (1,-2) and B(5,3)
Find out the point (x,y) that divide the segment AB in a ratio 2:3
that means
AX/XB=2/3
step 1
Find out the horizontal distance AB
ABx=5-1=4 units
Find out the vertical distance AB
ABy=3-(-2)=5 units
step 2
we have that
the horizontal distance between A and x is
AX/XB=2/3
AX=(2/3)XB -----> equation 1
AX+XB=4 -----> equation 2
substitute equation 1 in equation 2
(2/3)XB+XB=4
(5/3)XB=4
XB=12/5
XB=2.4
the x-coordinate of X is
x=5-2.4=2.6
Find out the y-cpoordinate
AX=(2/3)XB -----> equation 1
AX+XB=5 ------> equation 2
substitute equation 1 in equation 2
(2/3)XB+XB=5
5/3(XB)=5
XB=3
the y-coordinate of X is
y=3-3=0
answer is
the coordinate of the point is (2.6,0)
answer is option A(08.01 LC)Describe the process for calculating the volume of a cylinder. Usecomplete sentences. (10 points)
Answers
Volume of the cylinder = πr²h
see explanation below
Explanation:A cylinder comprises of two circles and a curved part.
To get the volume, we would multiply the area of the circle with the height of the cylinder
The height of the cylinder is the distance between the two circular ends
Area of a cirlce is pi multiplied by radius squared
Area of circle = π×r² = πr²
where r = radius
h = height of the cylinder
Volume of the cylinder becomes = πr² × h
Volume of the cylinder = πr²h
CHECK YOUR UNDERSTANDING
Nick writes a check to his friend James Sloan on May 11 for $150.32.
What should he write in the check register and what should the new
balance be?
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Nick will write
Date i.e. 11/5/20XX, Description i.e. Pay James, Check Number i.e. 123, Debit i.e. $150.32, Balance i.e. $X - $150.32.
The New balance will be $X - $150.32, where $X is the previous balance.
Given, that Nick writes a check to his friend James Sloan for $150.32 on May 11.
Let suppose Nick had an 'X' amount in his bank account.
He will fill the check register like this
Date Description Check Number Debit Credit Balance
11/5/20XX $X
11/5/20XX Pay James 123 $150.32 $X-$150.32
Hence, Nick will write
Date i.e. 11/5/20XX
Description i.e. Pay James
Check Number i.e. 123
Debit i.e. $150.32
Balance i.e. $X - $150.32
The New balance will be $X - $150.32 i.e. $150.32 subtracted from the previous balance.
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Which relation is NOT a function?*I am going to send you my answer choices *
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th first pic is not a function because a function dont have to values for the same x
the second pic is a function because each value of x has a different result
the third pic is a function because each value of x has a different result
so the first relation is not a function
i need help on this math assignment
Answers
Answer: 3rd one is correct
Step-by-step explanation: got it right on the test
How do you answer this? I am so confused! Please help me
Answers
The coordinates of a slope triangle that could be on the line shown include
8) (10, 13), 15. 1) and (5, 4)C) (5, 4), (10, 4), and (10, 7)What is slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope.
The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The slope formula's "rise" and "run" values are the two "legs" of the triangle.
With this idea, the slope triangle is drawn and the image is attached.
The coordinates should be able to form a right triangle which is used in slope calculation
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How many solutions does this equation have?
4v = -6 + 5v
no solution
one solution
infinitely many solutions
Submit
4
Answers
Answer:
One Solution
Step-by-step explanation:
v can only equal 6
Just think that there can be as many solutions as the highest power of the variable
Here it’s 1
Thus no of solutions is 1
Question content area top
Part 1
A ramp forms the angles shown to the right. What are the values of a and b?
Answers
Answer:
A=151
B= 29
Step-by-step explanation: