[tex]\begin{array}{l}\text{Let\ x\ be\ the\ third\ side,\ then,\ by\ Pitagoras}\\\\x^{2} +5^{2} =\left(\sqrt{61}\right)^{2}\\\\\Longrightarrow x^{2} =61-25\\\\\Longrightarrow x=\sqrt{36} =6\end{array}[/tex]
15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal
.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction
40% turned into a fraction
Answer:
0.33333333
0.9375
0.125
7/8
7/16
5/8
3/100
4/10 or 40/100
Step-by-step explanation:
A number line is numbered in tenths. Describe where you would plot the square root of 87.35
if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher
what is the sum all the numbers added up from 17 to 43?
HELP ME NOW!!!
Answer:
810
Step-by-step explanation:
17+18+19......40+41+42+43= 810
Rewrite the expression by factoring out the coefficient of the variable.
Answer:
[tex] - \frac{1}{2} x + 6[/tex]
by factorising out -½ :
[tex]{ \boxed{ \boxed{ = - \frac{1}{2} (x - 12)}}}[/tex]
х'y
62
Use properties of exponents to simplify the expression.
Answer: it's A
Step-by-step explanation: Its A I bet nonono C
Find the point on the y-axis that is 7 units from the point
(−7, −4).
(x, y) =
Answer:
-7,3
Step-by-step explanation:
The point on y - axis has coordinates = (0, -4)
We have a point whose coordinates are - P(-7, -4)
We have to find the point on the y-axis that is 7 units from the point.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of Point : P(-7, -4)
Since the other point is on y - axis, therefore its x - coordinate will be 0.
Let the point on y - axis have coordinates as - (0, k).
Using the formula discussed above -
7 = [tex]\sqrt {\left( {-7- 0} \right)^2 + \left( {-4 - k } \right)^2 }[/tex]
49 = [tex](-7)^{2}[/tex] + [tex](-4-k)^{2}[/tex]
[tex](-4-k)^{2}[/tex] = 0
[tex](k + 4)^{2}[/tex] = 0
Solve the quadratic equation, you will get -
k = -4
Hence, the point on y - axis has coordinates = (0, -4)
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. What is the location of E on the decimal number line below?
please help
Answer:
4.57
Step-by-step explanation:
There are 10 lines in between 4.5 and 4.6, so we can assume each line adds 0.01
The rectangles are similar. Find x.
Answer:
From scale factors:
[tex] \frac{18"}{12"} = \frac{x}{5"} \\ \\ x = \frac{18" \times 5"}{12"} \\ \\ x = \frac{90"}{12"} \\ \\ x = 7 \frac{1}{2} "[/tex]
the function that represents the graph in the image is
WILL MARK BRAINLIEST -The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
A) 1.5 > x > 4
B) 1.5 < x < 4 C)1.5 ≤ x ≤ 4
D) 1.5 ≥ x ≥ 4
Answer:
The answer is B
1.5<x<4!
Evaluate the expression for u = –8. Simplify your answer. –8 u
9514 1404 393
Answer:
64
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
-8u = -8(-8) = 64
in this problem x needs to be solved.
Answer:
Step-by-step explanation:
4x-7 = 7x-61
-7+61 = 7x-4x
54 = 3x
x = 18
Guided Practice
Find the balance in the account.
$4000 principal earning 6% compounded annually, after 5 years
A.
$5352.90
B.
$6872.20
C.
$4240
Answer:
A.
$5352.90
Step-by-step explanation:
A=p(1+r)^t
A=4,000×(1+0.06)^(5)
A=5,352.90
.........................................................
Answer:
The Final Investment Value is
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
If h(x) = 6 - x, what is the value of (he H) (10)?
-4
-2
O 10
• 16
Answer:
h(10) = -4
Step-by-step explanation:
h(x) = 6 - x
h(10) = 6-10
h(10) = -4
17. Kayla has a 20-quart jug of lemonade that she is pouring into cups for her daughters soccer team practice. If each cup holds 2 3/4cups, how many cups can she fill?
Answer:
She will fill 7 cupsexplanation in the attachment.....
Step-by-step explanation:
gd afternoon
have a lovely day
What is m∠A? ???????
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
AB=BC
Find x:
thank you ❤️
Answer:
x = 43
Step-by-step explanation:
3x - 31 = 2(x+6)
3x - 31 = 2x+ 12
x =43
Which of the equations below could be the equation of this parabola?
Vertex
(0, 0)
0
10
ОА
A. x = - 1 2 3 4
B. y = - 1/2 x ²
C. x = 1 / 4²
Do y = x
Answer:
the answer is "B"
the "a" (as in ax^2) is negative thus the parabola "goes downward"
Step-by-step explanation:
The equation of parabola is,
y = - 1/2x²
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
We have to given that;
In a parabola,
Vertex = (0, 0)
Since, We know that;
Standard form of equation of parabola is,
y = a (x - h)² + k
Where, (h, k) = (0, 0) = vertex
Hence, We get;
y = a (x - 0)² + 0
y = ax²
Here, A point on parabola is, (2, - 2)
- 2 = a (2)²
a = - 2 / 4
a = - 1/2
Hence, The equation of parabola is,
y = - 1/2x²
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HELP PLS!!!
Use a calculator to find the measure of angle(theta). Round answer to the nearest degree.
5. sin(theta) = 0.7264
7. cos(theta) = 0.5674
9. tan(theta) = 8.235
Answer:
5.) 0.01267773206
6.) 9.902836313×10-3
7.)0.1449606409
Tally invested $4,000 in bonds. The bonds matured to a value of 2,850 after 2.5 years.
What was Simone’s return on this investment?
+28.8
-28.8%
+71.3%
-71.3%
the correct answer is -28.8%
A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in an hour
Answer:
No
Step-by-step explanation:
2 liters = 2,000
80/3 = 26.6
the bottle leaks 26.6 milliliters in a min
26.6*60 = 1596
1596 / 1000 = 1.596 (to convert to liters)
the bottle will leak 1.596 an hour
hope this helps!
Find the linear function for f(1) = 3 and f(4) = 0
Answer:
Step-by-step explanation:
Determine what value(s) for the variable would make each algebraic
equation a true number sentence.
�2 = 81 is true for ____________________.
6� = 3� + 2� + � is true for ____________________.
� + 74 = � − 74 is true for ____________________.
Answer:
k calculate it how u see it
The lions baseball team scored 8 runs their first game. The tigers baseball team scored 2 runs. How many times as many runs did the lions score as the tigers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
describe the cross section
Answer:
In Geometry, the cross-section is defined as the shape obtained by the intersection of solid by a plane. The cross-section of three-dimensional shape is a two-dimensional geometric shape. In other words, the shape obtained by cutting a solid parallel to the base is known as a cross-section.
Step-by-step explanation:
From start to finish, a machine can fill a bottle of water, seal it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds
Answer:
47 bottles of water will be packed in 480 secs
Step-by-step explanation:
480/8.6 = 46.5116279 round it off and it would be 47
There are 32 desks in a room.
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
What is 2/3 divided by 4 in the Simplest form?
Answer:
2/3 divided by 4 = .16
Step-by-step explanation:
This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8
pls help! will do brainliest
Answer:
Answer: (√3)/2
Step-by-step explanation:
[tex] \sin(35 \degree) \cos(25\degree) + \cos(35\degree) \sin(25\degree) \\ [/tex]
from trigonometry identities:
[tex] \sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) \\ [/tex]
a » 35°
b » 25°
Therefore;
[tex] = \sin(35\degree + 25\degree) \\ = \sin(60\degree) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]