Answer:
Area = 84 square unit
Step-by-step explanation:
Given the triangle is right angle triangle. According to Pythagoras theorem, the largest amount the sides is the hypotenuse. and the others are base and height respectively.
Therefore, hypotenuse = 25, base = 7, height = 24
[tex]Area \ of \ triangle = \frac{1}{2} \times \ base \times height[/tex]
[tex]= \frac{1}{2} \times 7 \times 24 \\\\= 7 \times 12 \\\\= 84 \ square \ unit[/tex]
Answer:
A = 84 units^ 2
Step-by-step explanation:
The longest side length is also the hypotenuse of this right triangle: 25. Therefore the leg lengths must be 7 and 24. The legs are perpendicular to one another. If we let the base be 7 and the height 24, then the area of the triangle is A = (1/2)(base)(height), or
A = (1/2)(7)(24) = 84 units^ 2
I would appreciate if someone could answer this
Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
Factorise 12x3-9x2 please help
Answer:
18
Step-by-step explanation:
12x3=36=36-9x2=18=36-18=18
Cindy took a multiple choice test. The ratio of number of problems Cindy got incorrect to the number of problems she got correct was 2:6. If Cindy missed 14 problems, how many problems did Cindy get correct?
Answer:
42
Step-by-step explanation:
Divide 14/2 *6 to get your ratio.
Hope this helps!
:)
Answer:
42
Step-by-step explanation:
Divide 14/2 *6 to get your ratio.
Which of the following functions has a rate of change that stays the same?
A. y=-4+10
B. y=1/2x^2
C. y=3^x
D. y=x^2+2
Answer:
The answer is A because the rest are parabolas
Simplify (2 1/6 - 1 2/3) - 2 2/3
Answer:
[tex]- 2\frac{1}{6}[/tex]
Step-by-step explanation:
[tex](2\frac{1}{6} -1\frac{2}{3}) - 2 \frac{2}{3}[/tex]
[tex](\frac{13}{6} -\frac{5}{3}) - 2 \frac{2}{3}[/tex]
[tex](\frac{13}{6} -\frac{10}{6}) - 2 \frac{2}{3}[/tex]
[tex]\frac{3}{6} - 2 \frac{2}{3}[/tex]
[tex]\frac{3}{6} - \frac{8}{3}[/tex]
[tex]\frac{3}{6} - \frac{16}{6}[/tex]
[tex]- \frac{13}{6}[/tex]
[tex]- 2\frac{1}{6}[/tex]
Which equation represents the function y - 5 = –2(x+3) in slope-intercept form?
Oy= 2x + 1
Oy = 2x - 1
Oy= -2x - 1
Oy = -2x + 11
Oy = -23 - 11
Answer:
-2x-1
Step-by-step explanation:
when you graph the equation it gives you a decreasing slope with the y intercept of -1. the slope is 2 and since its decreasing it is -2. therefore its -2x-1
The solution is, the function y - 5 = –2(x+3) in slope-intercept form is y = -2x -1 .
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
given that,
the function y - 5 = –2(x+3)
now, we have to find in slope-intercept form.
now, we have,
function has a decreasing slope with the y intercept of -1. the slope is 2
and since its decreasing it is -2.
again, we have,
y - 5 = –2(x+3)
or, y = -2x - 6 + 5
or, y = -2x -1
here, slope = m = -2
and, y-intercept = c = -1
as, we know that,
slope-intercept form is: y = mx+ c
so, we get, y = -2x -1
Hence, The solution is, the function y - 5 = –2(x+3) in slope-intercept form is y = -2x -1 .
To learn more on Equation 0f Straight-Line click:
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Please answer this, I am confused (5^2)(7^2)(3^2)
Given:
The expression is:
[tex](5^2)(7^2)(3^2)[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex](5^2)(7^2)(3^2)[/tex]
On simplification, we get
[tex](5^2)(7^2)(3^2)=(25)(49)(9)[/tex]
[tex](5^2)(7^2)(3^2)=11025[/tex]
Therefore, the value of the given expression is 11025.
Select the correct answer.
Which expression is equivalent to the glven expression?
(3m-4)^3(3m^5)
A. 81/m^2 B.27/m^7 C. 27/m^2 D.81/m^7
The correct expression which is equivalent to the given expression is,
⇒ 81 / m⁷
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (3m⁻⁴)³ (3m⁵)
Now, We can simplify as;
⇒ (3m⁻⁴)³ (3m⁵)
⇒ (3³m⁻¹²) (3m⁵)
⇒ (27m⁻¹²) (3m⁵)
⇒ 81 m⁻¹²⁺⁵
⇒ 81 m⁻⁷
⇒ 81 / m⁷
Thus, The correct expression which is equivalent to the given expression is,
⇒ 81 / m⁷
Learn more about the mathematical expression visit:
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A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours. How large a sample must be selected if he wants to be 99% confident of finding whether the true mean differs from the sample mean by 1.5 hours
Answer:
The Sample Size Need To be at least 114
Step-by-step explanation:
According to the Question,
Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.
Now, For 99% Confident the level of value α is 0.01.α/2 = 0.01/2 ⇒ 0.005
Thus, From The table, We get that the value of [tex]Z_{alpha/2}[/tex] is 2.58.Hence, the sample size n can be found as
n = {[tex]\frac{(Z_{alpha/2} * Standard Deviation)}{E}[/tex]}²
n = {2.58 × 6.2}² / 1.5²
n = 113.72 .
So, The Sample Size Need To be at least 114.
En una P.A. el t(18) es 125 y el t(36) es 251. hallar el término que ocupa el lugar 45.
Answer:
161 correo o no ............
I neeed the answer plssss
Answer:
300km
Step-by-step explanation:
if 1 hr=80
then take 80 and multiply it by 3.75
hope this helps!
please give brainiest if you want<3
Answer:
300km
Step-by-step explanation:
Find the area of a circle with
radius, r = 5.52m.
answer rounded to 2 DP.
Answer:
Step-by-step explanation:
Formula = A=πr2
Putting values in the equation
A = (3.14) (5.52)^2
= 95.73
Answer:
95.73
Step-by-step explanation:
2 decimal points is what the question MEANS:
formula for finding a cirlce (and this is not from the internet)
r^2 times pi
(5.52)^2 times pi
which (5.52) squared becomes a sickly: 30.4704 in decimals
lets say you WANT to keep the decimals, then multiply 30.4704 by 3.14159265359 and absolutely get every single decimal place added in and THEN round it to 2 decimal places (once i didn't do this, i got bad grades in math class)
the answer is 95.7255847919
the decimal place of this is 95.73 not 95.72 or something,
the answer is 95.73
Sally generates an input-output table using two rules. The input rule is “add 2 2” and the starting number is 3 3. The output rule is “add 4 4” and the starting number is 6 6. The table is shown. Which ordered pairs follow the same rules as the pattern in the table? Select two answer choices. A (9,12)(9,12) B (11,22)(11,22) C (15,25)(15,25) D (17,36)(17,36) E (21,42)(21,42)
9514 1404 393
Answer:
B (11, 22)
E (21, 42)
Step-by-step explanation:
The numbers in the input sequence are ...
[tex]i_n=i_1+d(n-1)\\\\i_n=3+2(n-1) = 2n+1[/tex]
The numbers in the output sequence are ...
[tex]o_n=o_1+d(n-1)\\\\o_n=6+4(n-1)=4n+2=2(2n+1)\\\\o_n=2\times i_n[/tex]
So, the ordered pairs we're looking for have an output value that is double the input value.
The two that match this characteristic are ...
B(11, 22) and E(21, 42)
i have two points, (3,5) and (2,18) i need to find the exponential equation using these points. how do i do this?
Answer: y = (5832/25)*(5/18)^x
==========================================================
Explanation:
Any general exponential function is of the form
y = a*b^x
Plug in (x,y) = (3,5) and we get
y = a*b^x
5 = a*b^3
If you plug in (x,y) = (2,18), then we'll get this other equation
18 = a*b^2
-------------------
So we have this system of equations
[tex]\begin{cases}5 = ab^3\\18 = ab^2\end{cases}[/tex]
From here, we divide the two equations straight down. The left hand sides divide to 5/18. The right hand sides divide to (ab^3)/(ab^2) which simplifies to b. The 'a' terms cancel and we subtract the exponents for the b terms.
Overall, we end up with b = 5/18
---------------------
Use that value of b to find 'a'
18 = a*b^2
18 = a*(5/18)^2
18 = a*(25/324)
18*(324/25) = a
a = 5832/25
You could use the other equation as well to find 'a'
----------------------
Therefore, the equation in y = a*b^x form is y = (5832/25)*(5/18)^x
To verify this, plugging in x = 3 should lead to y = 5. Similarly, plugging in x = 2 should lead to y = 18.
Identify the x-intercept points of the parabola
Answer:
(3,0) and (-1,0)
Step-by-step explanation:
The X intercept are the point(s) where the line croses the X axis (the horizontal/leftright line). the points for this graphing system are always listed (x,y) so to find a certain point you find the X value then the Y value
Graph the image of trapezoid ABCD after a translation 3 units left .
Answer:
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
Step-by-step explanation:
If the trapezoid ABCD was able to translate 3 units to the left, we'll only need to calculate for all the input values!
Trapezoid in present:
A - -5
B - 5
C - 5
D - -3
Now move the units to the left!
Trapezoid in the future:
A - -8
B - 2
C - 2
D - -6
Then add the y values into the units
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
*************************************************
3.
4.
Every weekend Felicia is paid $30 to do the gardening for her
grandparents. She is saving her money to buy a new bike that
costs $189. So far, she has saved $60.
What is the minimum number of weekends she'll have to
continue to do the gardening in order to have the $189 she
needs for the bike?
Answer:
5 weekends
Step-by-step explanation:
Felicia already has 60$ of her goal of 189$ so 189-60=129
129/30=4.3
Felicia would need to work exactly 4.3 weekends to make up her goal, but you cant split a weekend into decimals, so we round up to the next whole number which is 5.
Answer:
she needs to work a minimum of 5 weekends
Step-by-step explanation:
60 + 30w ≥ 189
30w ≥ 129
w ≥ 4.3
Triangle ABC IS dilated using the origin as the center of dllation to create triangle A'B'C'. What rule best represents the dilation applied to triangle ABC to
What is half of 3/4 in fraction?
Answer:
3/8
Step-by-step explanation:
1/2 times 3/4= 3/8
Tell wether x and y show a proportional relationship.
x 1 2 3 4
y 4 8 12 16
Answer:
They do because y is always 4 times of x.
Step-by-step explanation:
Which expression is equivalent to 5^15 x 5^5
Answer:
[tex]5^{15} * 5^{5}[/tex]
= [tex]25^{20\\}[/tex]
0.36% as a fraction in simplest form
Answer: 9/2500
Step-by-step explanation:
We start with turning it into a fraction:
0.36/100
Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)
36/10000
Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:
(36/4)/(10000/4)
= 9/25000
I NEED HELP NOW MY ASIGNMENT IS DUE BEFORE 8;00 PLZZZ HELP AND PUT A ANSWER THAT HASN'T BEEN USED(05.02)Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.
Answer:
10 feet
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Area of parallelogram is
A = base of parallelogram x height of parallelogram
= 14 x 12 = 168 sq feet
Break parallelogram down into figures
There would be 2 triangles and 1 square
Area of 1 triangle = 0.5 (3 x 12) = 18
Area for 2 triangles = 2 x 18 = 36
Area of square = base x height
= 11 x 12 = 132
132 + 36 = 168
Area of parallelogram is 168 sq feet
Use slopes and y-intercepts to determine if the lines y=−2/3x+2 and −3x+2y=−4 are parallel.
Answer:
the answer is no
Step-by-step explanation:
y = -2/3x+2
2y = 3y-4
y = 3/2y-2
but here's a comment: it is perpendicular because it is it's opposite reciprocol
NEED HELP DUE IN 3 MINUTES!!!!
Answer:
y = -1/3 x+9
Step-by-step explanation:
First find the slope between the two points
m = ( -1 -8)/(2 - 5)
-9/-3
=3
We want a line that is perpendicular so it is the negative reciprocal
-1 /(3)
The slope of the perpendicular line is -1/3
y= mx+b where m is the slope and b is the y intercept
y = -1/3x+b
We have a point of (6,7)
7 = -1/3 (6) +b
7 = -2 +b
Add 2 to each side
7 +2 = -2+b+2
9 = b
The equation of the line is y = -1/3 x+9
I would really appreciate if someone could answer this:)
Answer:
first you need to know that the the sum of the co-interior angle is 180 degree and the sum of the opposite side of parallelogram is always equal.
now x+140=180(being co - interior angle)
or, x= 180-140
therefore, x =40 degree
y= 140 degree because sum of the opposite side of parallelogram is always equal.
x= z=40 degree (sum of the opposite side of parallelogram is always equal.
when you are again confused go in this link
----> https://www.scholr.com/ncert-solutions/consider-the-following-parallelograms-fi/40087/
plz mark me brainliest + thanks
Simplify the fraction to lowest terms.
56/
182
Please, I'm desperate need of help I will mark Brainliest to the one who answers with the full process! Gold will Bless You!
Two angles of a triangle are 85° and 65°, and the longest side of the triangle is 34 cm. How long is the shortest side? Include a labelled diagram.
Add 65 and 85
65+85= 150
Next subtract 180-150
The answer is 30, so that is the missing angle is 30.
The side opposite to 30 is the shortest side
Here I added the picture!
Plz help me simply this
Answer:
Step-by-step explanation:
[tex]\sqrt[5]{u^{10}*p^{15}}*\sqrt[4]{u^{16}*p^{18}}= \sqrt[5]{u^{2*5}*p^{3*5}}*\sqrt[4]{u^{4*4}*p^{16*2}}\\\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*p^{4*4}*p^{2}}\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*(p^{4)^{4}}*p^{2}}\\\\=u^{2}*p^{3} * u^{4}*p^{4}*\sqrt[4]{p^{2}}\\\\=u^{2+4}*p^{3+4}*\sqrt[4]{p^{2}}\\\\= u^{6}p^{7}\sqrt[4]{p^{2}}[/tex]
A market research firm conducts telephone surveys with a 42% historical response rate. What is the probability that in a new sample of 375 telephone numbers, at least 150 individuals will cooperate and respond to the questions
Answer:
The right answer is "0.7823".
Step-by-step explanation:
Given that,
P = 42%
or,
= 0.42
n = 375
[tex]\hat{P}[/tex] = 0.4
The z-score will be:
= [tex]\frac{\hat{P}-\mu_P}{\sigma_p}[/tex]
By putting the values, we get
= [tex]\frac{0.4-0.42}{\sqrt{\frac{0.42\times (1-0.42)}{0.375} } }[/tex]
= [tex]-0.784706[/tex]
hence,
The probability will be:
⇒ [tex]P(\hat {P}>0.04)[/tex] = [tex]P(z>-0.7847)[/tex]
= [tex]1-P(z<-0.7847)[/tex]
= [tex]1-0.21770[/tex]
= [tex]0.7823[/tex]
