Their are two triangle possible.
1 ) With hypotenuse of length x.
2) With hypotenuse of length 12.
Solution :
Case : 1 )
Using Pythagoras theorem :
x² = 7² + 12²
x = √( 7² + 12²)
x = √( 49 + 144 )
x = √(193)
x = 13.89
Case : 2 )
Using Pythagoras theorem :
x² + 7² = 12²
x² = 144 - 49
x = √95
x = 9.75
Hence, this is the required solution.
Find the arc length of the semicircle.
Answer:
14.13 units
Step-by-step explanation:
Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.
PLS HELP LIKE I NEED SLEEP SO BAD BUT MATH HW
the price of Stock A at 9 A.M. was $13.63. Since then, the price has been increasing at the rate of $0.13 each hour. At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
x = 4.29 hours
Step-by-step explanation:
Let
x = number of hours
Stock A at 9.00 AM
13.63 + 0.13x
Stock B at 12.00 pm
14.38 - 0.15(x - 3)
in how many hours will the prices of the two stocks be the same?
Equate the change in prices of both stock
13.63 + 0.13x = 14.38 - 0.15(x - 3)
13.63 + 0.13x = 14.38 - 0.15x + 0.45
13.63 + 0.13x = 14.83 - 0.15x
13.63 - 14.83 = -0.15x - 0.13x
-1.2 = -0.28x
x = -1.2/-0.28
x = 4.2857142857142
Approximately,
x = 4.29 hours
Select the correct answer.
Simplify the expression so there is only one positive power for the base, -5.
–5? = -52
OA
1
59
O B.
-59
OC.
--55
OD.
55
Answer:
I think the answer is C.
Step-by-step explanation:
The law of exponents states that when you divide the same base you subtract the exponents.
5/9 on a number line
Given:
The number is [tex]\dfrac{5}{9}[/tex].
To find:
The location of the given number on a number line.
Solution:
We have,
[tex]\dfrac{5}{9}[/tex]
Here [tex]0<5<9[/tex], so [tex]0<\dfrac{5}{9}<1[/tex].
Mark 8 equidistant small lines between 0 to 1 on the number line to divide the number line in 9 equal parts. Then, the 5th mark represent the value [tex]\dfrac{5}{9}[/tex].
The location of number [tex]\dfrac{5}{9}[/tex] on a number line is shown below.
Jill says that the rules for multiplying and dividing integers are alike. Do you agree? Explain.
Answer:
The rules of dividing integers are similar to the rules of multiplication
The only difference in division is that the quotient may not necessary be an integer. Hence, when dividing two integers with like signs, we divide the numbers without sign and place a positive sign to the result.
Answer:
I do not agree
Step-by-step explanation:
because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same)
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
V = 2261.9
Step-by-step explanation:
The formula to find the volume of a cylinder is:
V = pi • r² • h
Answer:
If you learned that you express pi is π: 720π [tex]cm^3[/tex]
If it says pi is 3.14: 2260.8 [tex]cm^3[/tex]
Step-by-step explanation:
oki, so the rule to find the area of a circle is r x r x π
which will be 36π in this situation!
So we multiply the area of the circle by the height next, and get 720π
if we have to say pi is 3.14, the answer should be 2260.8
Can anyone help? Last day of school today and I'm getting all my assignments done.
How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved the system. y=-2x + 3 y = -2×3x
Answer:
See below
Step-by-step explanation:
y=-2x + 3
y = -2*3x
Both equations are lines.
Two lines will intersect at one point
I will set the two equations equal and solve for the x coordinate.
-2x+3 = -6x
Add 2x from each side
3 = -4x
Divide by -4
-3/4 = x
Now find y
y = -6x
y = -6(-3/4)
y = 18/4 = 9/2
The solution is ( -3/4, 9/2)
Help I need this today!!
Answer:
y = 9
x = 9√2
Step-by-step explanation:
Step-by-step explanation:
tan 45= y/9
1=y/9
cross multiply
y= 9
sin 45=y/x
but y= 9
sin 45 = 9/x
0.7071=9/x
cross multiply
0.7071x= 9
x= 9/0.7071
x= 9√2
Line segment AB is on the coordinate plane and has endpoints at A(-5,3) and B(1,8). What is the length of the line segment to the nearest hundredth?
A) 30.5 B) 11.0 C) 7.81 D) 3.32
Answer:
C) 7.81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point A(-5, 3)
Point B(1, 8)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1--5)^2+(8-3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(6)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{36+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{61}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 7.81025[/tex]Round: [tex]\displaystyle d \approx 7.81[/tex]Answer:
AB = 7.81
Step-by-step explanation:
Distance between 2 points = sqrt( (x2 - x1)^2 + (y2 - y1)^) )
x2 = - 5
x1 = 1
y2 = 3
y1 = 8
D = sqrt( -5 - 1)^2 + (3 - 8)^2 )
D = sqrt( (-6)^2 + (-5)^2 )
D = sqrt( (36 + 25)
D = sqrt( 61)
D = 7.81
what is the midpoint of the line segment shown on the coordinate plane?
a- (1,2)
b-(2,1)
c-(-1,2)
d-(-2,1)
if a new line segment is drawn from the midpoint of the line segment shown to an endpoint (3,0), what is the midpoint of this line segment?
a-(1,2)
b-(2,1)
c-(-1,2)
d-(-2,1)
Answer:
[tex]a \: \: b[/tex]
(1.2)
(2.1)
Answer:
Question 1: (1,2)
Question 2: (2,1)
Step-by-step explanation:
Have a great summer.
help very easy 5th grade math im in rush
Answer:
1/2
Step-by-step explanation:
it is closet to a 1/2
what is [tex]hx^{8}[/tex] x [tex]hx^{-9}[/tex] simplified
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]
Need help finding the area
Answer:
42ft
Step-by-step explanation:
Area = L×B
7 ft × 6ft
=42 ft
Hope this helps you
Answer:
21 cm²
Step-by-step explanation:
Area of triangle is base x height
2
6 x 7 = 42
42/2 = 21
I hope this helps.
I need help bad on this problem I don’t understand it at all I just need help
Answer:
Step-by-step explanation:
90+35=exterior angle(sum of two interior opposite angle is equal to the exterior angle formed)
125=exterior angle
Answer:
125
Step-by-step explanation:
all the angles inside the triangle should add to 180:
so 180 - 35 - 90 = 55
then since it asked for exterior it should be:
180 - 55 = 125
because it on a straight line and a straight line is 180 it becomes:
125
I can help with more too
1
2
-17
+
X
5
+ 1 = 2
4
= 21
Answer:
21
Step-by-step explanation:
You got it right.
Find a, b, and n of the factored form of the binomial expansion.
16x^4 + 480x^3y + 5,400x2y^2 + 27,000xy^3 + 50,625y^4
Step-by-step explanation:
A is the 1st term
B is the last term
N is the power of the binomial
n=4 since the greatest power is 4
By finding the 4th root of the 1st and the last term as shown in the attached files
We can find the binomial
when x=5 and y=2 (x-y)^2
Answer:
9
Step-by-step explanation:
new formula : (5 - 2) ^2
So 5- 2 equals 3. And 3 to the second power is 9
What is the simplified expression for 2(x-5)?
O 2x
O -10
O 2x-10
O 2x+5
Answer:
2(x_5)
= (2×x)_(2×5)
Step-by-step explanation:
= 2x_10
PLEASE HELP ASAP BESTIES Express as a trinomial.
(3x – 9) (2x – 1)
Need help on this question asap please
Answer:
Choice C
Step-by-step explanation:
$80 to 5 hours
Divide both numbers by 5 to find the unit rate:
$16 to 1 hour, or 16 to 1
For x hours, the pay, y, is y = 16x.
Choice A is true.
Look at choice B.
When x = 5, y = 80.
This is correct because we are given that information.
The process is to multiply the hours by 16.
For x hours, y = 16x (from choice A)
For x = 7, y = 7 * 16
Choice B works.
Look at choice C.
We need a proportion. The left side is the ratio 80/5, meaning $80 for 5 hours of work. Notice that the first number in the ratio is dollars, and the second number is hours. Now we need another ratio written in the same order to set up a proportion. x dollars is to 7 hours. This is the ratio x/7. The correct proportion is
80/5 = x/7
Choice C is 80/5 = 7/x
Choice C is incorrect.
Look at choice D.
The graph shows that for 5 hours, the pay is $80, so by looking up x = 7, you can find the correct amount of pay.
Choice D works.
Answer: Choice C
-3(-7 - x) = 1/2 (x + 2)
Answer:
x=-8
Steps:
Simplify-
−3(−7−x)= x+2/2
Simplify-
−3(−7−x)= 1+ x/2
Multiply both sides by 2-
−6(−7−x)=2+x
Expand-
42+6x=2+x
Subtract 2 from both sides-
42+6x−2=x
Simplify-
6x+40=x
Subtract 6x from both sides-
40=x−6x
Simplify-
40=−5x
Divide-
-40/5=x
Simplify-
-8=x
Switch sides-
x=-8
I believe this is correct, if not let me know and I will fix it.
What is the volume of the pyramid? Show all work.
Which of the following inequalities are true?
Select the two correct answers.
A. | 4 | > 7
B. | - 4 | <4
C. |–7| > 4
D. |7|> |-7|
E. |-4 | < |-7 |
Answer:
i think its B or D sorry if I'm wrong
The number of miles Cynthia travels each day isshown. What are the values of the measures of center and variability that bestdescribe the data set?57, 40, 35, 60, 56, 57, 59 a.The mean is 52 miles and the interquartile rangeabout 8 miles b. The median is 57 miles and the interquartile range19 miles c.The mean is 57 miles and the interquartile range 19miles d. The median is 52 miles and the interquartile rangeabout 8 miles --------------------------------------------------------------------------------------------------------------------------------
I picked C by mistake
Aubrey filled her pool 0.9 of the way with water. Water evaporated from the pool at a rate of 7.5ft ^ 3 per day.
Answer: hello your question lacks vital data hence I will provide you with a general equation within the scope of your question
answer :
General equation = ( Stiver and Mackay or EPA ) evaporation equations
E = [tex]\frac{PAW}{T +459.67}[/tex] or E = [tex]\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}[/tex]
Step-by-step explanation:
Given data
volume of water in pool = 0.9 i.e. 90% full
rate of evaporation = 7.5ft^3 per day = 56.1039 gallons / day
Assumption :
Volume of pool = 16,000 gallons
In order to resolve the missing part of the problem apply the equation below
E = [tex]\frac{PAW}{T +459.67}[/tex] or E = [tex]\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}[/tex]
where : E = Evaporation rate , P = water's vapor pressure , A = pool surface Area , W = wind speed , T = Temperature in Fahrenheit
Thank for doing it i love u
Answer:
Step-by-step explanation:
2 .
a )
A - 3
B - 5
C - 16
D - 3
E - 1
b)
i) 16
ii) 28 / 5 = 5 . 6 ( if we round it off then the answer is 6 )
c)
Mode of data is - A , B , C , D
Hope this answer helps you :)
Have a great day
Mark brainliest
HELP ITS IN THE PICTHER
Answer:
120%
Step-by-step explanation:
Tommy was solving the triangle below. Which of the following is TRUE about his solution? Help ASAP !!!!
Answer:
The value of x is incorrect he should be using 28/21 instead of 21/28
Step-by-step explanation:
tan = opp/adj
tanx = 28/21
The value of x is incorrect he should be using 28/21 instead of 21/28
Answer:
A) The value of x is incorrect. He should be using 28/21 instead of 21/28.
Step-by-step explanation:
Recall that [tex]tan\theta=\frac{opposite}{adjacent}[/tex]. This means that the correct setup would be [tex]tan\theta=\frac{28}{21}[/tex] since 28 is opposite of x° and 21 is adjacent to x°. Thus, your solution would be [tex]x^{o}=tan^{-1}(\frac{28}{21})=53.13010235^o\approx53.1^o[/tex]