Answer:
x= 3.95
Step-by-step explanation:
Hypotenuse = 9 cm
side = (x+5) cm
other side = (x-3) cm
Pythagoras theorem: Hypotenuse² = Base² + Base²
9² = (x+5)² + (x-3)²
81 = x² + 25 + 10x + x² + 9 - 6x
2x² + 4x - 47 = 0
Quadratic Formula
x = (-b±√b²-4ac) / 2a
x = (-4±√16+376) / 2(2)
x = (3.95 and -5.95)
We ignore the negative -5.95
So x = 3.95
1. If Frank has 2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin does he have?
d=
q=
2. If Sam has 3 times as many dimes as quarters and they have a combined value of 330 cents, how many of each coin does he have?
d=
q=
In the diagram below, what kind of line is BF relative to ABC?
Line BF is one of the three angle bisectors that meet at point F (incenter), hence, line BF as it relates to ABC is called the: interior angle bisector.
What is an Interior Angle Bisector?An interior angle bisector can be described as the line segment that divides an interior angle into two halves.
When the three interior angle bisector of a triangle meet at a point, the point is referred to a the incenter.
The diagram guven shows the incenter where the three interior angle bisectors meet.
Therefore, line BF as it relates to ABc is called the: interior angle bisector.
Learn more about the interior angle bisector on:
https://brainly.com/question/4421815
A European swallow flies about 14 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly
km.
What is x in "5x + (x+12)+(2x+4)"
Answer:
[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]
Step-by-step explanation:
You have to isolate the term of x from one side of the equation.
Distributive property:
A(B+C)=AB+AC
5x+(x+12)+(2x+4)
5x+(x+12)+(2x+4)=5x+x+12+2x+4
5x+x+12+2x+4
Group and combined like terms.
5x+x+2x+12+4
Add the numbers from left to right.
12+4=16
Rewrite the problem down.
5x+x+2x+16
Then, you solve.
5x+x=6x
6x+2x=8x
8x+16
As a result, the final answer is 8x+16.
I hope this helps you! Let me know if my answer is wrong or not.
Vicki started jogging. The first time she ran, she ran mile. The second time, she ran mile, and the 516 58 15 16 third time, she ran 16 mile. If she continued this pattern, when was the first time she ran more than 1 mile? Complete the explanation Express the fraction as a mixed number in simplest form. mile(s) every new time she ran. Therefore, the ? time, Vicki had a pastem of adding she ran milles
Answer:
Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!
Step-by-step explanation:
I apologise if this isnt the answer..............
A minibus drives with a constant speed
of 32 km/h. How long will it take to travel
a distance of 80 kilometers?
✰ Given Information :-
⠀
A minibus drives with a constant speed of 32 km/hr⠀
✰ To Find :-
⠀
Time taken to travel a distance of 80 kilometers⠀
✰ Formula Used :-
⠀
[tex] \qquad \star \: \red{ \underline{ \boxed{ \sf Time = \dfrac {Distance} {Speed} }}} \: \star[/tex]
⠀
✰ Solution :-
⠀
Putting the values in the formula, we get,
⠀
[tex] \sf \longrightarrow Time = \dfrac{80 }{32} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = \cancel{\frac{80}{32} } \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = \dfrac{10}{4} \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Time = 2.5 \: hrs \\ \\ [/tex]
Thus, the time taken to travel 80 km with that speed is 2.5 hours.
⠀
[tex] \underline{ \rule{227pt}{2pt}}[/tex]
⠀
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 377 miles, what percentage of the trip’s distance have they completed?
None of these answer this question and I cant get it anywhere else
Answer:
325/377×100= 116% it means they completed 116%of the trip
If it’s 1 pm what time will it be in 30 hours
Answer:
7pm
Step-by-step explanation:
1pm + 24 = 1pm
30 - 24. = 6
1pm + 6 = 7pm
find the equation (in terms of x) of the line through the points (-4,2) and (3,-5)
Y=
==================================================
Explanation:
First we need the slope
[tex](x_1,y_1) = (-4,2) \text{ and } (x_2,y_2) = (3,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 2}{3 - (-4)}\\\\m = \frac{-5 - 2}{3 + 4}\\\\m = \frac{-7}{7}\\\\m = -1\\\\[/tex]
Then we can find the y intercept using the coordinates of (x,y) = (-4,2)
y = mx+b
2 = -1(-4)+b
2 = 4+b
2-4 = b
-2 = b
b = -2
Alternatively, you can use the other point (x,y) = (3,-5) and m = -1.
Because m = -1 and b = -2, we go from y = mx+b to y = -1x+(-2) which simplifies to y = -x-2
the figure represent 7/9 0f a full circle Find the measure of the marked central angle
Step-by-step explanation:
tbh I don't know I need help with that too please like this comment
The measure of the marked central angle of the sector will be 280°.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,
Arc / P = 7/9
Simplify the equation, then we have
(θ/2π) 2πr / 2πr = 7/9
θ/2π = 7/9
θ = 14π / 9
θ = 280°
The central angle of the sector will be 280°.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
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What is the area in polynomial form
Answer:
[tex] \orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}[/tex]
Solution :
Area = lenght x widthLenght = x + 9
Width = x + 2
[tex] \sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}} [/tex]
Answer:
[tex]x^2+11x+18\: \sf(square\:units)[/tex]
Step-by-step explanation:
To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.
Area of a rectangle = Length × Width
Area of blue rectangle: [tex]x \times x = x^2[/tex]
Area of pink rectangle: [tex]x \times 9 = 9x[/tex]
Area of green rectangle: [tex]2 \times x=2x[/tex]
Area of orange rectangle: [tex]2 \times 9=18[/tex]
Area of entire rectangle = blue + pink + green + orange
= [tex]x^2+9x+2x+18[/tex]
= [tex]x^2+11x+18\: \sf(square\:units)[/tex]
Simplify cos^4x+2cos^2xsin^2x+sin^4x
Answer: 1
Step-by-step explanation:
Please Help.........
What is the equation of the given line in the point-slope form?
A.
= - + 1
B.
+ = 1
C.
+ + 1 = 0
D.
4 = 3 + 1
E.
– 4 = 1( – 3)
[tex]============================[/tex]
First, let's use the Slope Formula to find the slope:
[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]
[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]
Which simplifies to
[tex]\pmb{1}[/tex]
So the slope is 1.
Now, here's a point that the line passes through:
(0, 1)
Write the equation in point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
y-1=1(x-0)
================================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Need help with this geometric question ASAP, Thank you
Answer: 15
Step-by-step explanation:
Find the roots of p(x)=x^3-10x^2+25
Answer:
{−1.47596288535, 1.73968983949, 9.73627304586}
Step-by-step explanation:
The roots of this cubic are real and irrational, as indicated by a graph of it. (Rational roots would be divisors of 25.) The same graphing calculator can provide an iterative solution to 12 significant figures. Here, we have used Newton's method iteration. The iteration function is ...
g(x) = x -p(x)/p'(x) . . . where p'(x) is the derivative: 3x^2-20x
We started each iteration using the value shown on the graph.
x ∈ {−1.47596288535, 1.73968983949, 9.73627304586}
__
The second attachment shows another calculator's solution. The values of x that are roots are the opposite of the constant in each binomial factor. You will notice this solution has a couple more significant figures than the one shown above.
__
Additional comment
There are several formulas for finding the "exact" roots of the cubic. Here's a trig approach that works reasonably well for cubics with 2 or 3 real roots.
We can define, for p(x) = x³ +ax² +bx +c, ...
s = -a/3 = 10/3
t = b -a²/3 = -100/3
r = a(2a² -9b)/27 +c = -10(200)/27 +25 = -1325/27
d = √(-4t/3) = √(400/9) = 20/3
h = 4r/d³ = -53/80
Now, the roots are ...
x = s +d·sin(arcsin(h)/3 +2nπ/3) . . . . for n=-1, 0, 1
= 10/3 +20/3·sin(arcsin(-53/80)/3 + n(2π/3)) . . . . . "exact solution"
= (10/3)(1 +2·sin(-13.8303° +n(120°))
= -1.47596..., or 1.73969..., or 9.73627...
What is the Area of this shape?
Answer:
448 ft ^2
Step-by-step explanation:
[tex]A = \frac{b_{1} + b_{2}}{2} * h\\A = \frac{17 + 39}{2} * 16\\A = \frac{56}{2} * 16\\\\A = 28 * 16\\\\A = 448 ft^{2}[/tex]
Hope this helps,
If best, mark brainliest, if not, hope it helps anyway.
Find the volume of the prism.
Answer:
240 cm³
Step-by-step explanation:
Volume of prism= base area ×height
The base is a rectangle here, and its area has the formula of length ×breadth.
Given
length of base= 10 cm
breadth of base= 6 cm
height of prism= 4 cm
Base area
= 10(6)
= 60 cm²
Volume of prism
= 60(4)
= 240 cm³
Answer:
240 cm³
Step-by-step explanation:
Volume of a rectangular prism: l*w*h
L (length) : 10 cmW (width): 6 cmH (height): 4 cmV = l*w*h <== substitute the numbers (above) for the variables
V = 10*6*4
V = 60*4
V = 240 cm³ (cubed)
Hope this helps!
Sandra can buy 6 tomato seed packets for $2. If all the tomato seed packets cost the same amount of money, how many packets can Sandra buy for $10
A. 12
b.20
c. 24
d.30
Answer:
D. 30
Step-by-step explanation:
Notice how $2 buys 6 packets. This means that if Sandra had $1, she could buy 3 packets.
If she had $10, you must multiply 3 (packets) by 10. Sandra can buy 30 packets with $10.
Answer:
The answer is 20 (I think)
Step-by-step explanation:
The question says 6 tomato seeds at $2
So, 10*2=20
hence proved
Suppose that y varies inversely with x. Write a function that models the inverse function.
x = 6 when y = 8
[tex] \qquad \qquad \huge\text{Anѕwer}♨[/tex]
Let's Solve ~❖ Aѕ givєn in thє quєѕtiσn, ч vαriєѕ invєrѕєlч with х, thiѕ єхprєѕѕiσn cαn вє rєprєѕєntєd αѕ :
[tex] \qquad \Rrightarrow \rm y \propto \dfrac{1}{x} [/tex]
➻ To rєplαcє prσpσrtiσnαlitч ѕign with єquαlѕ tσ, wє hαvє tσ uѕє α cσnѕtαnt (k)
[tex] \qquad \Rrightarrow \rm y = k \times\dfrac{1}{x} [/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = k[/tex]
➻ nσw, plug in vhє vαluєѕ σf х αnd ч fσr α ѕpєcific inѕtαnt, thαt'ѕ givєn in thє quєѕtiσn ~
х = 6, whєn ч = 8[tex] \qquad \Rrightarrow \rm \dfrac{}{} 6 \times 8 = k[/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} k = 48[/tex]
thєrєfσrє, vαluє σf prσpσrtiσnαlч cσnѕtαnt iѕ 48
➼ ѕσ, thє rєquirєd єхprєѕѕiσn will вє :
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = 48[/tex]
please answer this question
For each babysitting job she does, Emily charges $7 for each hour, x, she works, plus $2 for bus fare. Emily wants to earn at least $23 for her next babysitting job. Which inequality shows all the possible numbers of hours he could work and earn that amount?
Answer:
37 hope this helps sorry if wrong
Ryan's annual salary is $54,000. A total of $15,340.80 will be deducted for taxes and health insurance. He will receive his paycheck monthly in 12 equal
installments. How much will he get paid with each paycheck?
Answer:3,221.6
Step-by-step explanation: if you divide 54,000 by 12, you get 4,500 which is the untaxted payment per month, then you must divide 15,340.80 by 12, which is 1,278.4, then you subtract that from 4,500 which ends up being 3,221.6
Triangle ABC is isoceles and has a perimeter of 20cm.Sides AB and AC are each twice as long as BC. Calculate the length of the side BC
Answer:
length of the side BC=4
Step-by-step explanation:
length of the side BC = x
length of the side AB = 2x
length of the side AC = 2x
x + 2x + 2x = 20
5x=20
x=4
BC = 4
AB=8
AC=8
8+8+4=20
A triangular window has an area 240 square feet and height 16 feet. What is its base?
Answer:
30 feet
Step-by-step explanation:
Area of a triangle = bh/2
A = bh/2
240 = b(16)/2
480 = (16)b
30 = b
Base = 30 feet
I hope this helps!
Answer:
30 ft
Step-by-step explanation:
Formula to find the area of a triangle is :
Area = [tex]\frac{1}{2}[/tex] × base × height
Given that,
Area of the triangle = 240 ft²
Height = 16 ft
Base = ??
Let us find now.
Area = [tex]\frac{1}{2}[/tex] × base × height
240 = = [tex]\frac{1}{2}[/tex] × b × 16
240 × 2 = 16b
480 = 16b
Divide both sides by 16.
30 ft ⇒ base
How many quarts are in 9 gallons?
Answer:
1 gallon = 4 quarts
4 × 9 = 36
36 quarts are in 9 gallons
Answer the following math questions thank you math experts
Answer:
1) the connection between 2 or more meausures
2) when the r value is closer to 1 or -1 it is a stronger correlation
3) positive correlation would be height and weight. Taller people tend to be heavier. A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other
Step-by-step explanation:
choose me as brainlyest:)
The circumference of the inner circle is 22 ft. The distance between the inner circle and the outer circle is 2 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22/7 for pi .
Answer: 25.1
Step-by-step explanation:
1. Find the radius of the inner circle
(the formula for the circumference of a circle is ) C =2pi r
To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:
22 = 2(22/7)r
then solve for r
r = 3.5
2. add 4 to the radius of the inner circle
3.5 + 4 = 7.5
3. find the circumference of the outer circle using 7.5 as the radius
22 = 2 (22/7) 7.5
C = 47.1
4. Subtract the circumference of the inner circle from the circumference of the outer circle
47.1 - 22 = 25.1
PLEASE help me. Please. Which debates among historians over the effects of the Vietnam War did you discover in your research?
Answer:
The Domino Theory suggested that one nation becoming Communist makes it more likely that others will too. Without American involvement, the South would quickly have fallen to the North and the nation, united under Communism, would have joined the Communist bloc.
Step-by-step explanation:
The function h(x) is a transformation of the square root parent function,
f(x) = V. What function is h(x)?
Answer:
Step-by-step explanation:A. h(x) = √(x-2)
Step-by-step explanation:
To translate a function right by p units and up by q units, the function becomes ...
g(x) = f(x -p) +q
Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...
(p, q) = (2, 0)
h(x) = f(x -2) +0
h(x) = √(x -2)
The function h(x) , a transformation of the parent function f(x) = √x is √(x+1). Option A is correct option.
What is transformation of a function?The transformation of the function is a function that curves a graph formed by the moving the original graph to left / right / up / down or by expansion or compression.
The transformation is of type horizontal shift when the curve moves to left or right. For y = f(x) , when this curve moves left or right the transformation is given by y = f(x +c), c > 0 moves y=f(x) to the left by c units
and if c < 0 , moves y =f(x) to the right by c units
Given that the graph of the f(x) = √x by dotted line and the graph of its transformation h(x) given by solid line.
h(x) is clearly formed by moving f(x) one units to the left as it is moved to left by 1 on origin
Then transformation of y =f(x) moving one unit to left will be given by
y = f(x+1) =√(x+1)
Therefore , transformation h(x) of f(x) is h(x) =√(x+1) and option A is correct option.
Also, Learn more about the transformation of a function from the link below:
https://brainly.com/question/13810353
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MATH Arithmetic QUESTION
Answer:
Point A
Step-by-step explanation:
It can be seen from the image that the chosen value for N is greater than zero but less than 1, i.e,
[tex]0 < n < 1[/tex]
The square of such numbers will always result values less than N since they're decimals with zeroes on the whole number parts.
Hence, the value for N squared will be in the region of Point A.