Answer:
[tex]x = \frac{11}{c}[/tex] (x = 11/c)
Step-by-step explanation:
cx - 4 = 7
cx = 7 + 4
cx = 11
[tex]x = \frac{11}{c}[/tex] (x = 11/c)
Hope this helps! :)
Answer:
x=11/c
Step-by-step explanation:
In order to solve for x, we must get x by itself.
cx-4=7
4 is being subtracted from cx. The inverse of subtraction is addition. Add 4 to both sides of the equation.
cx-4+4= 7+4
cx= 7+4
cx= 11
x is being multiplied by c. The inverse of multiplication is division. Divide both sides of the equation by c.
cx/c=11/c
x= 11/c
The equation cx-4=7 solved for x is: x= 11/c
Every proof needs Given and Prove statements. Use the endpoints on the diagram to write a Given statement indicating the down tube is longer than the top tube. Prove the relationship between the opposite angles of the given sides. (2 points; 1 point for the Given statement, 1 point for the Prove statement)
Answer:
m<ABC > m<ACB (angle property of a triangle)
Step-by-step explanation:
Given that: ΔABC
AB = AX
Prove: m<ABC > m<ACB
From the given diagram,
ΔABX is an isosceles triangle (two congruent sides and angles)
<AXB = m<ABX = [tex]90^{o}[/tex] (isosceles triangle property)
AC = AX + XC
Thus,
AC > AB
m<ABC = m1 + m3 ≥ [tex]90^{o}[/tex]
m<ACB < [tex]90^{o}[/tex] (acute angle property)
Therefore since in a triangle the longest side is opposite to the greatest angle, then;
m<ABC > m<ACB (angle property of a triangle)
..........help lol xD
Answer:
equilateral
acute
Step-by-step explanation:
equilateral = all equal angles
acute = all angles less than 90
Answer:
D. Equilateral
Step-by-step explanation:
An equilateral triangle is a three sided shape with sides of the same size. Since all the sides in the image are 9cm, it is considered as an equilateral triangle.
Hope this helps
4) A rectangular wall feature in a photograph is 8 cm long and 4 cm high, Given that the actual height of the wall feature is 3.2 m, find its actual length
Answer:
6.4m
Step-by-step explanation:
We can use ratios to solve this
Since 4cm: 3200cm
(RHS is 800x bigger)
Then 8cm : 6400cm
6400cm = 6.4m
work out 5^-2 x 3 square root 8
Answer:
6root(2)/25
Step-by-step explanation:
5^-2 = 1/25
3(root(8)) = 6(root(2))
so you get 6(root(2))(1/25)
= 6(root(2))/25
The required simplified value of the given expression is 0.34 or 6√2 / 25.
Given that,
Expression to simply ios given,
5⁻² x 3√8
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Simplification =>
= 5⁻² x 3√8
= 1/ 5⁻² x 3 x 2 √2
= 6√2 / 25
= 0.34
Thus, the required simplified value of the given expression is 0.34 or 6√2 / 25.
Learn more about arithmetic here:
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Can any one please help me I really need help please help me I need help
Answer:
$8000 worth of sales
Step-by-step explanation:
We know Jack needs to make $1000 in 40 hours. We also know he makes 5% commission, meaning he gets 5% of the money from a sale, and that he makes $15/h.
First, lets find how much made from his hourly pay.
40 * $15 = $600
Now subtract that from how much he needs,
$1000 - $600 = $400
He still needs $400 from commissions. We know he makes 5% commission, so we can find the total value of the sales he'd need by multiplying 400 by 20 since 5% x 20 = 100%, aka the total value. $400 x 20 = $8000 in sales.
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied
by what factor to produce the radius of sphere B?
o
+10000 N
o
o
Answer:
1.75
Step-by-step explanation:
The radius of Sphere A = 24 centimeters
The radius of sphere B = 42 centimeters
[tex]\text{Radius of Sphere B} \div \text{Radius of Sphere A}=42 \div 24\\=1.75[/tex]
Therefore, The radius of sphere A is multiplied by 1.75 to produce the radius of sphere B
Please answer this now in two minutes
Answer:
[tex]7\sqrt{2}[/tex] meters
Step-by-step explanation:
This is a 45 45 90 triangle. This means that two sides of the triangle are equivalent. In this type of triangle, the two equal sides are represented by [tex]a[/tex] and the hypotenuse that you are trying to find (u) is represented by [tex]a\sqrt{2}[/tex]
Therefore, your answer is [tex]7\sqrt{2}[/tex] in simplest radical form.
Answer:
u= 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The missing side is u
sin 45°=7/u switch u and sin 45°u = 7/sin°45sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]
so :
u = 7*[tex]\frac{2}{\sqrt{2} }[/tex] u = 14/√2 u = [tex]\frac{7*\sqrt{2} ^{2} }{\sqrt{2} }[/tex] u = 7[tex]\sqrt{2}[/tex]how do you find percentage lost
Answer:
It depends
Step-by-step explanation:
It depends on the questions, some times you just substract the number from 100 which is the full percentage but sometimes it is like the example below.
lets say a city lost 2% of population each year population now?
98/100*98*100=0.9604= 96.04%
so the lost hear is 100-96.04=3.96
The sum of the digits of a two-digit
number is 12. If the digits are
are interchanged
the number is increased by 36. Find the
number
Let us assume x and y are the two digits of the number.
Therefore, two-digit number is = 10x + y and the reversed number = 10y + x
Given:
x + y = 12
y = 12 – x -----------1
Also given:
10y + x - 10x – y = 18
9y – 9x = 18
y – x = 2 -------------2
Substitute the value of y from eqn 1 in eqn 2
12 – x – x = 2
12 – 2x = 2
2x = 10
x = 5
Therefore, y = 12 – x = 12 – 5 = 7
Therefore, the two-digit number is 10x + y = (10*5) + 7 = 57
Can you mark me brainliest? Thank you and be safe! :D
-Eli
Hmmm pretty sure it is 57, after doing the math.
Make b the subject of this formula. a=9b
Answer:
a = 9b
divide each side by 9
[tex]\frac{a}{9}[/tex] = b
The formula a = 9b in terms of b is [tex]\bold{b=\frac{a}{9} }[/tex]
What is equation?"It is a mathematical statement which consists of equal symbol between two mathematical expressions."
For given question,
We have been given an equation a = 9b
We need to solve above equation for b.
⇒ a = 9b .......................(Given equation)
⇒ a / 9 = (9b)/9 .......................(Divide both the sides by 9)
⇒ b = [tex]\frac{a}{9}[/tex]
Therefore, the given formula in terms of b: [tex]\bold{b=\frac{a}{9} }[/tex]
Learn more about equation here:
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what is the value of the discriminators of f f(x)=x^2-3x+18
Answer:
-63
Step-by-step explanation:
Compare ...
f(x) = x^2 -3x +18
to the standard form ...
f(x) = ax^2 +bx +c
and you will see that ...
a = 1, b = -3, c = 18.
__
The value of the discriminant is ...
d = b^2 -4ac
d = (-3)^2 -4(1)(18) = 9 -72 = -63
The discriminant is -63.
pleaseeeeeeeeeee helllllllllpppppppppppp
Answer:
a)16 (2*2*2*2= 16)
b)16 (-4*-4-16)(-+-=+)
c)500 (5*5*5=125 125*4=500)
d)0.49 (0.7*07)
e)480 (4^=16 9^=81 121^0=1 16+81 -1 =96 96*5=480)
f)5^2 or 25 (a^m/ a^n=a^m-n)
g) 11^14 (reason same as the f one)
h)8.20
i) 4(-4*16=64)
j)900
Please please please urgent help❤️❤️❤️
Answer:
its G(2)
Step-by-step explanation:
Gg
There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members. Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?" Number line with closed circle on 2 and shading to the left. Number line with closed circle on 2 and shading to the right. Number line with open circle on 2 and shading to the left. Number line with open circle on 2 and shading to the right. Question 2(Multiple Choice Worth 4 points) (07.06) A retirement community has a sign at its main entrance that says "Residents over the age of 55 welcome." Which of the following inequalities best represents the age of residents welcome in the retirement community? z > 55 z 9 a 12 k ≤ 12 k ≥ 12 pls answer all bc I'm giving a lot of points
Answer:
1. Number line with open circle on 2 and shading to the right.
2. z > 55
Step-by-step explanation:
Question 1
It is > 2, so is the number line with open circle on 2 and shaded to the right
Number line with open circle on 2 and shading to the right.Question 2
over the age of 55 ⇔ z > 55
Answer:
What the person on top said
Step-by-step explanation:
There smart
HELP 25 PTS ASAP!!!!!! BRAINLIEST
We can solve for the y-intercepts of both f(x) and h(x) by plugging in 0 as x. f(0) = -6(0)-3 = -3
h(0) = -2cos(pi)-1 = -2(-1)-1 = 1
So the y-intercept of f(x) is -3 and of h(x) is 1. We can then conclude that h(x) has a greater y-intercept than f(x) because 1>-3.
Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °
Answer:
ZX = 1.3 in
EG = 3.0 in
M∠X = 48°
M∠G = 25°
Step-by-step explanation:
As we can see in the attached figure that these two triangles are identical i.e their corresponding sides and angles are equal
Therefore if we say that
ZX = EF
So ZX = 1.3 in.
Now the same is applied for other sides and angles
EG = XY
So, EG = 3.0 in
M∠X = M∠E
hence, M∠X = 48°
For the M∠ G,
The angle is
= 180° - 107° - 48°
= 25°
Hence, the M∠ G is 25°
Four consecutive multiples of 3 have a sum of 78? What is the second largest number?
Answer:
26
Step-by-step explanation:
Let x be the first number
the second one is x+1 the third one is x+2 the sum is : x+ (x+1)+(x+2)= 78so : 3x+3 = 78 then : 3x = 75 finally x = 25 the second larger number is x+1 = 25+1 = 26Find the solution of this system of equations shown on the graph.
Answer:
(0, 6)
Step-by-step explanation:
The solution is the point of intersection of the lines.
(0, 6)
Add the opposite of 2 1 /2 to the sum of 1.25 and (−1 3/4 ).
Answer:
-3.0
Step-by-step explanation:
The opposite of 2 & 1/2 is the negation, or -2 & 1/2, or -2.5.
The sum of 1.25 (1 & 1/4 or 5/4) and -1 & 3/4 (-1.75 or -7/4) is -2/4 (or -0.5).
So if we add -2.5 to -0.5, we get -3.0.
Please answer this question now in two minutes
Answer:
y=x+5
Step-by-step explanation:
If ∠R is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for ∠Q.
Answer:
To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.
Step-by-step explanation:
We just saw how to find an angle when we know three sides. It took quite a few steps, so it is easier to use the "direct" formula (which is just a rearrangement of the c2 = a2 + b2 − 2ab cos(C) formula). It can be in either of these forms:
cos(C) = a2 + b2 − c22ab
cos(A) = b2 + c2 − a22bc
cos(B) = c2 + a2 − b22ca
Answer:
Law of cosines, two sides and the included angle known
Step-by-step explanation:
double check that the question is exactly the same to make sure you get the question correct
"If ∠P is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for p."
Help please! Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of MT? A.) 7 B.) 24 C.) 74 D.) 100
Hey there! :)
Answer:
C) 74 units.
Step-by-step explanation:
MT is congruent to KT because the diagonals of a quadrilateral bisect each other. Therefore:
8y + 18 = 12y - 10
Subtract 8y from both sides:
18 = 4y - 10
Add 10 to both sides:
28 = 4y
Divide both sides by 4:
28/4 = 4y/4
y = 7 units. Plug this into the equation for MT:
8(7) + 18 = 74 units.
Answer:
74
Step-by-step explanation:
Set up the equations
8y + 18 = 12y -10
Combine like terms
28 = 4y
Divide each side by 4
y=7
Plug in the value of y in the equation of 8y + 18 since that's the value for MT
8(7) + 18 = 74
Hope this helps!
Please help me Thank u
Answer:
Step-by-step explanation:
Fist let's have a look :
(AB) is parallel with (CD) and there is a line crossing them both.Now the first question : What is the size x ?
We notice that x and 53° are vertically opposite so they are corresponding angles so the size of x is 53°The second question : what is the size of y ?
We notice that y and 53° are alternate angles so they are corresponding angles with same size y=53°The trick is to khow the situation where we have corresponding angles
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59 °.
Using sine ratio
sin 48.59 ° = opposite/hypotenuse
sin 48.59 ° = 24/JL
cross multiply
JL sin 48.59 ° = 24
divide both sides by sin 48.59 °
JL = 24/sin 48.59 °
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
Franklin's grandmother opened a savings account with $275 to help him save money for college. Franklin will deposit $55 each month. His grandmother will deposit $40 each month. If Franklin makes no additional deposits or withdrawals, which equation can be used to find A, the amount of money in Franklin's savings account after p months?
Answer:
X = 275 + 95p
Step-by-step explanation:
Hello,
This question requires us to write an expression to find how much he would've saved over a certain period of time.
Initial deposit = $275
Franklin's monthly deposit = $55
Franklin grandmother's deposit = $40
Let the amount he would've saved over a certain period of time p = x
X = 275 + (55 + 40)p
X = 275 + 95p
Eg, how much would he have saved in 5 months
X = 275 + 95(5)
X = 275 + 475
X = $750
I.e in 5 months, he would've saved $750
Danny deposits $100 for the first month with the amount increasing by 5% each month. What is the equation
that represents this situation?
y = 100(1+0.05)
y = 100(1+0.05)x
b. y = 100+ 0.05x
d. y = 100x + 0.05
a.
c.
Answer:
answer is b). y = 100+ 0.05x
Step-by-step explanation:
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages what is the greatest number of packages time can make
Answer:
He will have 13 packages containing 3 pairs of headphones and 1 music player each.
Step-by-step explanation:
He has 39 pairs of headphones and 13 music players.
He wants to sell both set of items in identical packages.
To do this he has to divide them in such a way that the same number of both set of objects are in every box.
Let us find the ratio of the pairs of headphones to music players:
39 : 13 = 3 : 1
Therefore, dividing the pairs of headphones into 3 parts and the music players into 1 part, he can have identical packages.
So, he will have 13 packages containing 3 pairs of headphones and 1 music player each.
Find x
a) 21 √2
b)7
c)21 √2/2
d)21 √3/2
Answer:
C
Step-by-step explanation:
Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opp}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 × opp = 21 ( divide both sides by 2 )
opp = [tex]\frac{21}{2}[/tex]
Now consider the right triangle on the right, using the cosine ratio
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\frac{21}{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = [tex]\frac{21}{2}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → C
without using a calculator, choose the statement that best describes the value of \sqrt{10}
10
square root of, 10, end square root.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The value of \sqrt{10}
10
square root of, 10, end square root is between 222 and 2.52.52, point, 5.
(Choice B)
B
The value of \sqrt{10}
10
square root of, 10, end square root is between 2.52.52, point, 5 and 333.
(Choice C)
C
The value of \sqrt{10}
10
square root of, 10, end square root is between 333 and 3.53.53, point, 5.
(Choice D)
D
The value of \sqrt{10}
10
square root of, 10, end square root is between 3.53.53, point, 5 and 444.
Answer:
square root of,10,end square root is between 2.52.52,point,5and333
Answer:
Its choice B
Step-by-step explanation:
I got it from khan academy :)
Between 4.5 and 5
consider a polynomial f(x)=ax^3 + bx^2 + x + 2/3.if x + 3 is a factor of f(x) and f(x) is divided by x + 2, then we get remainder as 5. find the values of a and b.
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.