What is the exact value of cos 45°? Enter your answer, as a simplified fraction, by filling in the boxes
Answer:
The value of cos 45° is equal to 1/√2
Answer:
Its 1/2
Step-by-step explanation:
I just took the test
1. If you toss a coin 30 times, you expect the coin lands on the tail _____ times.
Answer:
15 times
Step-by-step explanation:
50% of the time, 50% of 30=15
Answer: 15 times
Step-by-step explanation:
A coin has a 50/50 chance to get either heads or tails. 50% of the time it's heads, 50% is tails. So, if you tossed a coin 30 times, you would expect the coin to land on the tail 15 times because 30 / 2 = 15.
Which of the following is a solution to the system of
equations?
4 + y = -x
y = 2x - 10
Answer:
x=3, y= -6
Step-by-step explanation:
make 4+y= -x as equation (1) and make y=2x-10 as equation (2, then you must find a third equation either from equation (1)or (2). If you choose to find equation (3) from (2) it will be y=2x-10 , then substitute equation (3) from (1) because you can't choose (2) , then it will be 4+(2x-10)= -x
the answer will be x =2
substitute x from equation (3)
y=2x-10
y=2 (2)-10
y= -6
2(x-3)-5 equal to or less than 9
Answer:
x ≤ 10
Step-by-step explanation:
2x-6-5 ≤ 9
2x-11 ≤ 9
2x ≤ 20
x ≤ 10
Brian and sonya each have a container. They mark their containers to show tenths. Brian and sonya both fill their containers with 0.7 units of juice. However, brian has more juice in him container. Explain how this is possible.
Answer:
Step-by-step explanation:
Brian could have more juice than Sonya in actual sense, This is because the representation used, that is the container has been calibrated to show tenth. This means that decimal values of juice in the container will not show explicit volume beyond tenth. Hence the volume will be rounded.
For instance, if the actual volume of juice Brian has Is 0.74 and that owned by Sonya is 0.69. In actual sense, 0.74 > 0.69 . However, if both pour their juice into the calibrated container, Brian's volume will be rounded to the nearest tenth as 0.7 and Sonya's (0.69) will also be rounded to 0.7.
But in actual sense, Brian has more Juice than Sonya.
(x+5)/2-(2x-7)/3+x/6
What is the factored form of this expression?
x^2 + 6x − 16
Substitute numerical values into the expression for p and q.
Answer:
(x+2)(x-8)
Step-by-step explanation:
The radius of a circle is 8.5 inches. The circumference of the circle is C inches.
A. 85/c
B. c/17
C. c/8.5
D. 17/c
Interpreting as: circle 8.5 inches.
Assuming
"circle"
is a geometric object
circle | radius 8.5 inches
Equation:
(x - x_0)^2 + (y - y_0)^2 = 72.
(assuming center (x_0, y_0))
Properties:
diameter | 17 inches
area enclosed | 227 in^2 (square inches)
circumference | 53.4 inches
answer is D. 17/C
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELPPPPPPPPPPPPPP
Answer: I think the perimeter is 17ab4
Step-by-step explanation:
Which quantity is proportional to 35⁄80?
Answer:
7/16
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
Simplify
find the value of x in the triangle shown below
x=square root of 28
x=square root of 64
x=9
x=10
Answer:
the length of the hypotenuse must be 10.
Step-by-step explanation:
This is a right triangle, so we can apply the Pythagorean Theorem.
6² + 8² = 10² so the length of the hypotenuse must be 10.
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
mJKL = 230
area of shaded sector =
area of unshaded sector =
Answer:
Area of the unshaded sector = 113.4 sq units
Area of the shaded sector = 200.6 sq units
Step-by-step explanation:
First let us calculate the area of the circle
Area of the circle = πr²
radius r = 10units
Area of the circle = π(10)²
Area of the circle = π(100)
Area of the circle = 3.14(100)
Area of the circle = 314 sq. units
Area of a sector = theta/360 * πr²
Area of the unshaded sector = 130/360 * 314
Area of the unshaded sector = 13/36 * 314
Area of the unshaded sector = 113.389 sq units
Area of the unshaded sector = 113.4 sq units
Area of the shaded sector = Area of circle - Area of the unshaded sector
Area of the shaded sector = 314 - 113.89
Area of the shaded sector = 200.6sq. units
Aldo used 7 rolls of blue fabric to make costumes for the annual school play. He
used a total length of 25.2 yd of fabric. If each roll had the same length of
fabric, how much fabric was in each roll? Write your answer in inches.
Select the correct answer.
William buys two bags of peaches and three bags of apricots for $17. Sylvia buys four bags of peaches and two bags of apricots for $22 from the same store. What is the cost of one bag of peaches?
A.
$3
B.
$4
C.
$5
D.
$7
wer:
B 4
Step-by-step explanation:
how many dose 35 get to 56?
the fraction 14/5 lies between what to whole numbers
Answer:
2 and 3
Step-by-step explanation:
find the volume of a cone with a height 7 and radius 7
Answer:
359.19
Step-by-step explanation:
Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.
I estimated pi at about 3.14
A particular metal has a density of 25g/cm cubed. Calculate the mass of 178cm cubed of this metal.
Mass = density x volume
Mass = 178 x 25 = 4,450 grams
Solve for x and complete the table
Answer:
x = 2
Table:
0,0
3,9
-2,-6
4,12
Step-by-step explanation:
distribute
3(2x+1)=15
6x+3 = 15
subtract 3 from both sides
6x + 3 = 15
6x + 3 - 3 = 15 - 3
simplify
6x= 12
divide both sides by 6
answer= x=2
Multiply 6x by 3x^2y
Can someone please show the answer and explain? tysm!
Answer:
B. 40°
Step-by-step explanation:
AB // ED ∠ABC = ∠EDF = 50°
AC // EF ∠AGE = ∠CAB = 90 - ∠ABC = 90 - 50 = 40°
The cost of a pen at the office supply store is $2.65. The school store sells the pen for $3.45. How much does the school store markup the pen?
Enter the correct answer in the box.
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Use slope-intercept form
Answer:
[tex]y=-\frac{1}{2} +3[/tex]
Step-by-step explanation:
Answer:
y = -1/2x + 3
i need help abc or d plzzzzz
Answer:
Isosceles and Right
Step-by-step explanation:
An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.
Answer:
Isosceles and right
Step-by-step explanation:
We have a picture of triangle and are asked to name it, look at definitions below :
Isosceles - Geometrical figure with three sides and three angles
Right - Triangle where one angle is a right angle (90°)
Scalene - Triangle where all three sides have different lengths
Acute - Triangle where all three sides are less than 90°
If we look at the triangle, we can tell that it has three sides and three angles, therefore isosceles must be in one of the answer choices. Crossing out the options scalene and acute / scalene and right.
Now we have two options and we need to determine whether this triangle is an acute triangle or is a right triangle.
To figure out so we can look at the angle in the bottom left, which when measures equals to 90°. Therefore making it a right triangle and crossing out the other option.
Our answer left is Isosceles and Right.
A shadow 12 meters long is cast by a fir tree that is 16 meters tall. What is the length of the shadow cast by a nearby ash tree that that is 8 meters tall?
Write your answer as a whole number or a decimal. Do not round.
Answer: 5 m
Step-by-step explanation:
Given
Length of 16 m fir tree is 12 m
length of the ash tree is 8 m
Suppose x is the length of the ash tree
angle [tex]c[/tex] made by fir and ash tree will be same as shown in figure
[tex]\Rightarrow \tan c=\dfrac{16}{12}=\dfrac{8}{x}\\\\\Rightarrow x=8\times \dfrac{12}{16}\\\\\Rightarrow x=5\ m[/tex]
Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12
Answer:
3,672
Step-by-step explanation:
Given the sequence 6, 9, 12...
The sequence is an arithmetic sequence
first term a = 6
common difference d = 9 - 6 = 12 - 9 = 3
number of terms n = 48
Sn = n/2[2a+(n-1)d]
Substitute the given values
S48 = 48/2[2(6)+(48-1)(3)]
S48 = 24(12+(3*47))
S48 = 24(12+141)
S48 = 24(153)
S48 = 3,672
Hence the sum of the first 48terms is 3,672
What is the trigonometric ratio for cosD?
Answer:
7/25
Step-by-step explanation:
Cos x=Adjacent/hypotenuse
Clad=21/75=7/25
Find an exponential equation that passes through the points (0, 4) and (2, 9).
Given:
An exponential equation passes through the points (0,4) and (2,9).
To find:
Exponential equation that passes through the given points.
Solution:
Let the required exponential function is:
[tex]y=ab^x[/tex] ...(i)
The function passes through the points (0,4) and (2,9). It means the above equation must be true for these points.
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
And,
[tex]9=ab^2[/tex]
Substituting [tex]a=4[/tex], we get
[tex]9=(4)b^2[/tex]
[tex]\dfrac{9}{4}=b^2[/tex]
[tex]\pm \sqrt{\dfrac{9}{4}}=b[/tex]
[tex]\pm \dfrac{3}{2}=b[/tex]
In an exponential function b>0. So, [tex]b=\dfrac{3}{2}[/tex].
Putting [tex]a=4,b=\dfrac{3}{2}[/tex] in (i), we get
[tex]y=4\left(\dfrac{3}{2}\right)^x[/tex]
Therefore, the required exponential function is [tex]y=4\left(\dfrac{3}{2}\right)^x[/tex].
What is the first step?
Answer:
-5x-1/6=3/2
-5×1/6+1/6=3/2+1/6
-5×÷5×=10/6/-5x
x=-10/30
x=-1/3In Waxahachie the library is 8 miles due to east of the post office and the zoo is 6 miles due to south of the library.What is the distance from the post office to the zoo? Round to the nearest tenth one decimal place
Answer:
10 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
6^2 + 8^2
36 + 64 = 100
square root = 10