Answer:
1.
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
= 1/ cos 16 * 1/ sin 74 - 1/tan 74 * tan16
= 1/ cos16 sin 74 - cos74/ sin74 * sin 16 / cos 16
Now cos 16 = sin 74 and sin 16 = cos 74 (supplementary angles) so:
= 1 / cos^2 16 - sin 16/cos 16 * sin 16 / cos 16
=( 1 - sin ^2 16 )/ cos^2 16
= cos^2 16 / cos^2 16
= 1.
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.
2
3
4
5
Answer:
4.
Step-by-step explanation:
32.83 + 0.8 = 33.63
37.63 - 33.63 = 4.
Answer:
The answer is the 3rd option/C, 4
Step-by-step explanation:
ME SMART
Ava' s cell phone plan allows her to send up to 125 text messages per month if she sent 90 text so far what percent of her monthly message limit has she used
Answer:
90/125*100=9000/125
9000/125=72
72%
1
The coefficient of x2 in the expansion of 2x +1 by 3 whole square
Answer:
1 +6 x + 12 x 2 + 8x 3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
What is the image point of (-4,2) after a translation left 5 units and down 3
units?
Answer: (-9,-1)
Step-by-step explanation:
Can I get some help? I will be giving brainliest!
Find the slope of each piece of the antler on the graph below. Write answers in the simplest form into the table.
Answer:
1.) slope = 2
2.) slope = [tex]-2\frac{2}{3}[/tex]
3.) slope = [tex]\frac{2}{3}[/tex]
4.) slope = [tex]\frac{1}{4}[/tex]
5.) slope = [tex]1\frac{8}{9}[/tex]
6.) slope = -2
7.) slope = -3
Step-by-step explanation:
In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.
Now as I said before we know this......
Let "m" be the slope, then....
[tex]m = \frac{y}{x}[/tex]
So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.
1.)
[tex]m = \frac{y}{x}[/tex]
[tex]m= \frac{4}{2}[/tex]
[tex]m = 2[/tex]
2.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{4}{-1.5}[/tex]
[tex]m = -2\frac{2}{3}[/tex]
3.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{3}[/tex]
4.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{1}{4}[/tex]
5.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{8.5}{4.5}[/tex]
[tex]m = 1\frac{8}{9}[/tex]
6.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m= -2[/tex]
7.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{3}{-1}[/tex]
[tex]m = -3[/tex]
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation:
Answer these two and I'll make as brainest.
Answer:
25x + 5 equals 130, x=5, (2) x= 6 10x=60 degrees
Step-by-step explanation:
PLZZZZZZ BRAINLIESTTTTT
Which property of operations can be used to rewrite the expression without the parentheses?
Answer:
The Commutative Properties of Addition and Multiplication ... in an addition expression can be grouped in different ways without changing the sum. ... Mathematicians often use parentheses to indicate which operation should be done ... Rewrite 7 + 2 + 8.5 – 3.5 in two different ways using the associative property of addition.
Step-by-step explanation:
I learned this and i still know it. I dont have a explanation
What is the slope of the line
Answer:
-3/1 or -3
Step-by-step explanation:
you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer
Answer:
-3/1
Step-by-step explanation:
i think thats the answer
What is y-intercept for the line y=8x+21
Change Y to 0.
y=8x+21
0=8x+21
-8x=21
[tex]x=\frac{21}{-8\\}[/tex]
(12x³+x²)-(18x³-3²+6)
Hello' this is my last question can someone please help me
(please don't just put a random answer just to take my points)
Answer:
x²-3x=-10
Step-by-step explanation:
x²-3x+0=10
x²-3x=-10
What is the value of 72-2[3+2(5-1)]
Answer:
50
Step-by-step explanation:
Already done this
Answer:
50
Step-by-step explanation:
i just simplified the expression
Solve: 9 + 11| + |-1|
Answer:
21
Step-by-step explanation:
9+11+|-1|
9+11+1
21
Answer: 21
Step-by-step explanation: the absolute value of any number will be positive so the absolute value of -1 is one. After that all you have to do it’s add 9 and 11 which is 20 + 1 which is 21
Hope this helped
Which step could be used to solve x + 3.6 = negative 1.7 for x in one step? Select two options. Add 3.6 to both sides. Add Negative 3.6 to both sides. Add 1.7 to both sides. Add Negative 1.7 to both sides. Subtract 3.6 from both sides.
Answer:
Subtract 3.6 from both sides.
Step-by-step explanation:
Given
[tex]x + 3.6 = -1.7[/tex]
Required
Solve in one step
There are two ways to go about it.
1. Collect Like Terms
[tex]x + 3.6 = -1.7[/tex]
3.6 and -1.7 are like terms, so the equation becomes
[tex]x = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
2. Subtract 3.6 from both sides
[tex]x + 3.6 = -1.7[/tex]
This becomes
[tex]x + 3.6 - 3.6 = -1.7 - 3.6[/tex]
[tex]x = -5.3[/tex]
Hence, the last option answers the question.
Answer:
Option 2and 5 are correct.
Step-by-step explanation:
-Add -3.6 to both sides
-Subtract 3.6 from both sides
find the missing number in the proportion. 2/3 = x/15
is this right or wrong?
Answer: Yes, your correct because the square root of 61 is 7.8, and that's inbetween 7 and 8
I hope this helps, and Happy Holidays! :)
Solve the following
equation for X.
3x - 15 = -30
Answer:
X = -5
Step-by-step explanation:
3x - 15 = -30 You want to isolate tha variable
3x= -30+15 Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30
3x= -15
x= -15÷3 Divide x by 3 in order to get rid of the 3. Do it to the other side
x=-5
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
CORRECT ANSWER GETS BRAINLIEST
What percentage of the block is shaded in?
Answer:
7/10ths
Step-by-step explanation:
There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.
Answer:
The percentage is 70%.
Step-by-step explanation:
There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.
0.7 as a percentage is 70%.
So 70% of the block is shaded in.
Tell me everything you know about Pythagorean Theorem. Some things to include, but not limited to: Why is it that in some examples you have to subtract the square of a leg from the hypotenuse? Can this be used on every triangle? When might someone use this in real life as an adult?
Answer: Check below
Step-by-step explanation:
Okay so the Pythagorean Theorem was made by some old guy and the formula is a^2+b^2=c^2. You ALWAYS have to subtract the leg of the triangle when your finding a leg. You squareroot the square of the two legs if your finding the hypotnuse. The Theorem can be used to find any side of the triangle ONLY IF its a right triangle. An adult might use it in real life like when your an architect trying to find how much material you should use to make something thats in the shape of a right triangle.
Ps. Sorry if there's a bunch of grammar mistakes since this is kinda rushed
F (×)=(×H)(×-1) is this polynomial function
Answer:
I think so
Step-by-step explanation:
What is the distance between points A and B? O1/3 O1/2 O 1 1/3 O1 1/2
Is this correct? I need help
what is 1.117468769rounded two decimal places
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?
y = 8x - 21 - 7
Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
Evaluate -9+5^2(2-1)
Answer:
16
Step-by-step explanation:
5^5=25
-9+25(2-1)
-9+25*1
-9+25=16
have a great day
Answer: Your answer would be 16.
A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:
Answer down below Branliest Please
Step-by-step explanation:
help on math plz help
Answer:
1/6
Step-by-step explanation: