Answer:
x = - 4
Step-by-step explanation:
- 4x - 5 = 11 ( add 5 to both sides )
- 4x = 16 ( divide both sides by - 4 )
x = - 4
PLS HELP ASAP I WIL MARK BRAINLIEST
Answer:
\(x=80^{\circ},\\y=80^{\circ}\)
Step-by-step explanation:
The measure of an angle formed by a secant and a tangent outside of a circle is half of the absolute difference between the two arcs it forms. Therefore, we have the following equation:
\(m\angle A=\frac{\widehat{BC}-\widehat{BD}}{2}\)
Substituting given values, we get:
\(20=\frac{120-x}{2},\\40=120-x,\\x=\boxed{80^{\circ}}\)
Since there are 360 degrees in a circle, we can write the following equation, using \(x\), to solve for \(\widehat{DC}\):
\(x+\widehat{DC}+120=360,\\80+\widehat{DC}+120=360,\\\widehat{DC}=\boxed{160^{\circ}}\)
The value of the angle formed by a chord and a tangent is half the measure of the arc it forms. Therefore,
\(y=\frac{\widehat{DC}}{2}=\frac{160}{2}=\boxed{80^{\circ}}\)
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
For more such answers on coordinates
https://brainly.com/question/30227780
#SPJ8
Sally ran 1/3 of a mile and swam 5/6 of a mile. In simplest form, how much farther did
she swim than she ran?
4
5/18
3/6
1/2
4/3
Music ofl
10:51 AM
^! 4 11/18/20303
RI
Type here to search
Answer:
3/6
Step-by-step explanation:
1/3 can be converted to 2/6. From the you would subtract 2/6 from 5/6 which would give you your awnser of 3/6.
Mrs. Bell's class is working together to earn enough money for a field trip. The total cost for the class to go to the observatory is $910. The students want to have the money for their field trip in 5 months - How much do they need to earn each month in order to accomplish their goal? Explain.
The students need to earn $182 per month in order to accomplish their goals.
What is division?Division is the process of dividing a number by a given number.
Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.
To collect $910 in 5 months, students must earn $910/5 per month.
910/5
= 182
Hence, the students need to earn $182 per month in order to accomplish their goals.
To learn more about division, click here:
https://brainly.com/question/10571790
#SPJ1
V = 2 1/2× 2 × 1 1/2
Answer:
\(v = \frac{15}{2} \)
Step-by-step explanation:
\(1. \: v = \frac{2 \times 2 + 1}{2} \times 2 \times 1 \frac{1}{2} \\ 2. \: v = \frac{4 + 1}{2} \times 2 \times 1 \frac{1}{2} \\ 3. \: v = \frac{5}{2} \times 2 \times 1 \frac{1}{2} \\ 4. \: v = \frac{5}{2} \times 2 \times \frac{1 \times 2 + 1}{2} \\ 5. \: v = \frac{5}{2} \times 2 \times \frac{2 + 1}{2} \\ 6. \: v = \frac{5}{2} \times 2 \times \frac{3}{2} \\ 7. \: v = 5 \times \frac{3}{2} \\ 8. \: v = \frac{5 \times 3}{2} \\ 9. \: v = \frac{15}{2} \)
(.)(.) Big ol bitties aye uno dos tres you hear me
Answer: Uno by Ambjaay
Step-by-step explanation:
It’s a song?
The floor of a storage unit is 7 feet long and 6 feet wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.
\(\text{Find the distance from one corner to the other}\\\\\text{In this question, we would use the Pythagorean theorem to find the length}\\\text{between corners}\\\\\text{Pythagorean theorem:}\\\\a^2+b^2=c^2\\\\\text{We are trying to find c}\\\\\text{Plug in and solve:}\\\\7^2+6^2=c^2\\\\49+36=c^2\\\\85=c^2\\\\\text{Square root}\\\\\sqrt{85}=\sqrt{c^2}\\\\\sqrt{85}=c\\\\\text{In decimal form, it's: 9.219544}\\\\\text{Round to the nearest tenths place}\\\\\boxed{9.2\,\, feet}\)
A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill
holes in 25 minutes. HELPPP
Answer:
The machine can drill 50 holes in 25 minutes!
Explanation:
6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!
Can you help me find the volume of the cylinder in the picture attached and remember to round to 1 decimal place?
The requried volume of the given cylinder with a radius of 5 cm and height of 2 cm is 157 cm³.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
Figure f cylinder is shown where the radius is 5 cm and height is 2 cm,
The volume of the cylinder = πr²h
Substitue the value in the above expression,
The volume of the cylinder = 3.14 × 5² × 2
The Volume of the cylinder = 157 cm³
Thus, the requried volume of the given cylinder with a radius 5 cm and height 2 cm is 157 cm³.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ1
Solve for the value of q
Answer:
\(q=45\)
Step-by-step explanation:
Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:
\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)
What is the solution to the inequality?
15<4+x
Answer:
Step-by-step explanation:
Hello!
15 < x + 4
We can subtract 4 from both sides, to cancel it out.
15 - 4 is 11.
11 < x
x = {12,13,14,15,16,..........................................................................Infinity}
Hope I Helped!
what is between fractions 6/6 and 6/7
The fraction 13/7 lies between the fractions 6/6 and 6/7.
We have,
Between the fractions 6/6 and 6/7, there are infinitely many fractions.
To find a fraction that lies between these two fractions, we can take their average.
The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.
To find the average, we add the two fractions and divide the sum by 2:
(6/6 + 6/7) / 2
To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.
Converting the fractions to have a common denominator:
(6/6) x (7/7) + (6/7) x (6/6) / 2
Simplifying the expression:
(42/42 + 36/42) / 2
Combining the numerators:
(78/42) / 2
Dividing:
78/42 = 13/7
Thus,
The fraction 13/7 lies between the fractions 6/6 and 6/7.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ1
-40× +5y -125=0 relates y
Answer: −200y−125
Step-by-step explanation:
4/5 times 1/5 PLZ ANSER I NEED HELP
Answer:
.16 or 4/25
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
\(\frac{4}{5}\)×\(\frac{1}{5}\)
multiply tops together and denominators together and get \(\frac{4}{25}\)
Please help and thanks in advance
Add 0.65 and 0.24. How many tenths are in the sum?
Number of tenths are in the sum is 8
What is Decimal number?The decimal numeral system is the standard system for denoting integer and non-integer numbers.
What is Addition?Addition is the action or process of adding something to something else.
Given,
The numbers 0.65 and 0.24
Add them together
0.65 + 0.24 = 0.89
Here the number is a decimal number that is 0.89
If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths.
Therefore number 8 is in the tenth place
Hence, the number of tenths in the sum is 8
Learn more about Decimal number and Addition here
https://brainly.com/question/14786619
#SPJ2
the prime factorization of blank is 2*4*5.
Answer:
40
Step-by-step explanation:
When we find the prime factorization of a number, we are essentially finding breaking it down the most we can. When we multiply the prime factors, we will get the original number that we broke down.
So, let's multiply the prime factors
2*4*5 = 40
If we wanted to check, we can do so by finding the prime factors of 40.
-----------------------------------------------------------------------------------------------------
Btw, 4 is not a prime number. We would factor 4 into 2 × 2. Then we would have 2³, as there are three 2s. The correct way to write this prime factorization would be,
2³ × 5
Answer:
Its 80
Step-by-step explanation:
because i got it right
what are the answers of 3 equivalent ratios of 24:12
Answer:
2:1
6:3
8:4
Step-by-step explanation:
24 divided by 12 is 2, so equivalent ratio should also be 2
2 divided by 1 is 2
6 divided by 3 is 2
8 divided by 4 is 2
Use the shapes to answer the questions that follow:
Answer:
50%
Step-by-step explanation:
Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%
hope this helps <3
Answer:
50%
Step-by-step explanation:
5/10 are yellow so 5% I think
Using exponential models, make a prediction about the population of yourthree countries/states/cities in 10 years.
In 10 years population
California, Texas ,Michigan
California model = C = 40 •(1 + 5/100)^10 = 65.15 million people
Texas model = T = T' (1 + 16.4/100) ^10
Michigan model= M = 9.9 ( 1+
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The value of side TS is,
⇒ TS = 28
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Additionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK
LY = HJ,
so, LY = 14
And, 42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
Learn more about trapezoid visit:
https://brainly.com/question/1410008
#SPJ1
we invested 3500 and an account that pays simple interest of 5% each year how much interest is earned after 10 years
Explanation
The question can be solved using the simple interest formula below;
\(I=\frac{\text{PRT}}{100}\)Where P = principal, R= rate and T=time.
From the question, the principal is represented as 3500, the rate as 5% per annum, and the time as 10 years.
We can then substitute the above parameter into the simple interest formula.
\(\begin{gathered} I=\frac{3500\times5\times10}{100} \\ I=35\times5\times10 \\ I=1750 \end{gathered}\)Answer: 1750
Which of the following triangles is similar to PQR
Answer:
D
Step-by-step explanation:
The ratio's of the sides of "D" match.
15/18=17.5/21
HELP ANSWER AND EXPLAIN I’LL MARK BRAINLIEST
Answer:
x = 2.2, y = 5.3
Step-by-step explanation:
This question is asking us to solve a system (find x and y). Because they give us that y = 1.5x + 2, then we can use this to substitute into the second equation.
9x + 4y = 41
9x + 4(1.5x + 2) = 41
Simplify.
9x + 6x + 8 = 41
15x + 8 = 41
Subtract 8 from both sides.
15x = 33
Divide both sides by 15.
x = 11/5 = 2.2
To find y, substitute x = 2.2
y = 1.5x + 2
y = 1.5 * 2.2 + 2
y = 3.3 + 2
y = 5.3
Now, we can double check to see if these two answers are right. Plug these numbers into the other equation (because to find y, we already used the first equation, so there is no need to check it, as it would just give us 5.3 = 5.3)
9x + 4y = 41
9 * 2.2 + 4 * 5.3 = 41
19.8 + 21.2 = 41
41 = 41
Thus, the answer is correct.
I hope this helps! Feel free to ask any questions!
If f(x) is a function which is continuous everywhere then we must have m= ?
The function is continuous only if m = 7.
How to find the value of m?If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2
That means that:
f(-2) = f(-2) (trivially)
Replacing the two pieces of the function we will get:
m*(-2) - 6 = (-2)^2 + 10*(-2) - 4
now we can solve that equation for m.
-2m - 6 = 4 -20 - 4
-2m = -20 + 6 = -14
m = -14/-2 = 7
m = 7
that is the value of m.
Laern more about continuous functions at:
https://brainly.com/question/18102431
#SPJ1
A suppose price per person for an event. If 17 people sign up. And the price per person is 213 what will be the price per person if 27 people sign up ?
Answer:
5751
Step-by-step explanation:
price per person = 213
213 x 27 = 5751
so, the if 27 people sign up is 5751
the function f(x)= x1/3 is transformed to get function h. h(x)= (2x)1/3+5 which statements are true about function h
The transformation of a function may involve any change. The function f(x) is vertically stretched and shifted 5 units upwards to form h(x).
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(\dfrac{x}{k})The function f(x)=x^(1/3) is transformed to form the function of h(x)=(2x)^(1/3)+5. Therefore, the transformation made to the function is,
Vertically stretched by a factor of 2^(1/3) ⇒ 2^(1/3) × x^(1/3) = (2x)^(1/3)
Up by 5 units ⇒ (2x)^(1/3) + 5
Hence, the function f(x) is vertically stretched and shifted 5 units upwards to form h(x).
Learn more about Transforming functions:
https://brainly.com/question/17006186
#SPJ1
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
96 in³
Step-by-step explanation:
Volume = 2(BHD) / 2
The 2s cancel out
Volume = 3(8)4
Volume = 96
f(x) = 3x + 2; g(x) = x2 + 4; h(x) = 5x + 1
Find h(g(2))
Answer:
Step-by-step explanation:
h(g(2)) = h( 2²) = h(4) ; because g(x=2) = 2²
h(4) = 5*4+1 = 21
Evaluate the function f(x) = 7x - 8 at the given values of the independent variable and simplify.
a. f(7)
b. f(x + 5)
c. f(-x)
Answer:
Step-by-step explanation:
Given the function :
f(x) = 7x - 8
Evaluate the given values of the independent variable and simplify.
a. f(7)
b. f(x + 5)
c. f(-x)
A.) f(7)
f(7) = 7(7) - 8
= 49 - 8
= 41
B.) f(x + 5)
7(x + 5) - 8
7x + 35 - 8
7x - 27
C.) f(-x)
7(-x) - 8
-7x - 8
Find the missing length, X.
Find the missing length
X= [ ] in
33 in corresponds with the 11 in side
33 in / 11 in = 3
The scale factor is 3
24 in / 3 = 8 in
x = 8 in
Answer:
Step-by-step explanation:
In similar triangles, corresponding sides will be in same ratio.
\(\frac{33}{11}=\frac{24}{x}\)
Cross multiply,
33*x = 24 * 11
\(x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in\)