Answer:
tan(x) = 1
sec(x) = sqrt(2)
Step-by-step explanation:
(Reminder: sin is the height of the triangle of the unit circle and cos is the length)
The only values where a right triangle with a hypotenuse of 1 has equal lengths of legs are 45-45-90 triangles. The sin and cosine of those triangles are both 1/sqrt(2).
Since tan(x) = sin(x)/cos(x), and sin(x) = cos(x), tan(x) is just going to be 1.
sec(x) is defined as 1/cos(x). since cos(x) is 1/sqrt(2), sec(x) is just sqrt(2).
I hope this helped.
WILL MARK AS BRAINLIEST!!
Answer:
Put an open circle on 5 and have the arrow point in the positive direction.
Step-by-step explanation:
Answer:
a > 5 or a ∈ ( 5 , ∞ )
Step-by-step explanation:
A grocery store sells sliced turkey. The graph shows the relationship between the weight of the sliced turkey and the total cost of the sliced turkey. Two points, R and W, are labeled on the graph shown below.
Answer:
The correct option is ⇒ Point W means that that unit rate is $2.5 per pound.
Step-by-step explanation:
The question missing the graph and the options
The options for the questions are:
1) Point R means that that unit rate is $10 per pound.
2) Point R means that that unit rate is 4 pounds per dollar
3) Point W means that that unit rate is $2.5 per pound.
4) Point W means that that unit rate is 2.5 pounds per dollar.
And see the attached figure.
As shown in the figure attached
The unit rate will be the total cost per weight
By calculating the unit rate for the graph = (y2-y1)/(x2-x1)
using the given points (4,10) , (1,2.5)
the unit rate = (10-2.5)/(4-1) = 7.5/3 = 2.5
The unit rate means that it will cost $2.5 per pound and this is a gree with the point W which have the same meaning.
So, The correct answer is option 3.
Step-by-step explanation:
will give brainlliest
The table below shows four problems using decimals. Problem Number Problem 1 One ounce of pretzels has 2.93 g of protein. How many grams of protein are in a 6-ounce package of pretzels? 2 Paul rides his bike at an average rate of 13.8 miles per hour. If he rode for 3.2 hours, how far did he ride? 3 Sonya made an 8-slice whole wheat pizza with cheese and veggies. If the whole pizza had 1567.9 calories, how many calories are in one slice? 4 One slice of multigrain bread has 12.4 carbs. Jules uses 6 slices to make sandwiches for his friends. How many carbs did he use? Which problem would be solved using division, and what is the solution to the problem? will give brainlliest
Answer:
its A
Step-by-step explanation:
Answer:
It is c
Step-by-step explanation:
Can someone explain what is domain and range? Gcse math level please
A box contains 3 blue and 2 red balls
Another contains 2 blue and 1 red .One ball is drawn from each bag
Find the probability
Both balls are white
The two balls are of the same color
The two balls are of different color
Answer:
two balls are of the same color
Step-by-step explanation:
5 blue and 3 red. so its not the same number of each. and there is no white balls.
Allie is single, has an adjusted gross income of $25,005 and one exemption of $12400. How much is his tax according to the table? Hint: find taxable income first. $1246 $1263 $1318 $1324
Allie's tax amount is the amount deducted from his taxable income
Allie's tax amount is $1427
How to determine the tax?The given parameters are:
Adjusted gross income = $25,005
Exemption = $12400
Start by calculating the taxable income using
Taxable income = Adjusted gross income - Exemption
So, we have:
Taxable income = $25,005 - $12400
Evaluate the differences
Taxable income = $12605
The question is incomplete.
So, I will use the table of the single taxable income tax bracket and rates, 2016
Using the table, the tax amount on an income of $12605 is:
Tax = $927.50 + 15% * (Amount - $9275)
So, we have:
Tax = $927.50 + 15% * ($12605 - $9275)
Evaluate
Tax = $1427
Hence, Allie's tax amount is $1427
Read more about taxable income at:
https://brainly.com/question/25783927
Answer:
The real answer is $1318
Step-by-step explanation:
I hope this helps
Emilliano thinks x =40 is the solution to the equation 1/2 x =80. explain why he is wrong
Answer/Step-by-step explanation:
Given:
Emiliano thinks x = 40 is the solution to the equation 1/2x = 80
Note:
An equation is the statement that equalizes two mathematical expressions.
An expression is the combination of variables and constants connected with mathematical operations.
Solve:
Substituting the value of x, in the equation
1/2(4) = 80
20 ≠ 80
Thus, it isn't satisfied. Hence, Emiliano's answer is wrong.
Correct Way to Solve;
Multiply both sides by 2
2 · [tex]\frac{1}{2}x[/tex] = 80 · 2
Simplify
x = 160
~Learn with Lenvy~
correct answer only!!!
Question/answer choices below as pictures
Answer:
Last graph: [tex]\langle-7,-9\rangle[/tex]
Step-by-step explanation:
Here, [tex]u=\langle-2,-7\rangle[/tex] and [tex]v=\langle5,2\rangle[/tex]. Thus, [tex]u-v=\langle(-2)-5,(-7)-2\rangle=\langle-7,-9\rangle[/tex], making the last graph the correct answer.
100 divide by 37
Can yall help me on this one?
What is 15% off 1200
Answer:
1020
Step-by-step explanation:
pls rate brainliest!
Answer:
1020
Step-by-step explanation:
First we need to find out what 15 is so we can divide 1200 by 100 to get 12 so 1% = 12 so 15 x 12 = 180
1200-180=1020
If 1 thousand dollars gets you 15 million toys how many toys can I buy with 40,000 dollars?
Answer:
600 billion toys
Step-by-step explanation:
40,000 × 15,000,000 = 600,000,000,000
What is 5^8 plus 9375?
Answer:
400000
Step-by-step explanation:
5^8 = 390625
390625 + 9375 = 400000
Answer:
400,000
Step-by-step explanation:
We solve for 5^8 first,
this means that 5 is being multiplied by itself 8 times.
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
Now we add this to 9,375:
390,625 + 9,375 = 400,000
please help!!
Write a matrix representing the system of equations
Answer:
[tex](4, -1, 3)[/tex]
Step-by-step explanation:
We have the system of equations:
[tex]\left\{ \begin{array}{ll} x+2y+z =5 \\ 2x-y+2z=15\\3x+y-z=8 \end{array} \right.[/tex]
We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:
[tex]\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}[/tex]
Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.
In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:
[tex]\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}[/tex]
Where the (x, y, z) is our solution set.
Reducing:
With our system, we will have the following matrix:
[tex]\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}[/tex]
What we should begin by doing is too see how we can change each row to the reduced-form.
Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:
[tex]\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}[/tex]
Now, we can multiply R₂ by -1/5. This yields:
[tex]\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}[/tex]
From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:
[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}[/tex]
We can eliminate the -5 in R₃ by adding 5(R₂). This yields:
[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}[/tex]
We can now reduce R₃ by multiply it by -1/4:
[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]
Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:
[tex]\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]
And finally, we can eliminate the second 1 by adding -(R₃):
[tex]\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]
Therefore, our solution set is [tex](4, -1, 3)[/tex]
And we're done!
0.28N − 0.86(N −4.70) = 8.02
While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk?
The number of times Angela needs to fill the 1/4-cup measuring 1/2 cup to pour cup of milk is?
Answer:
2
Step-by-step explanation:
Answer:
(1 / 2 US cups) / (1 / 4 US cups) = 2
Step-by-step explanation:
PLZ MARK Brainliest
Find the area of an equilateral triangle with a side length of 16 centimeters. Round to the nearest tenth.
As we know that the area of an equilateral triangle with side a is given by ;
[tex]{\boxed{\bf{Area_{(equilateral)}=\dfrac{\sqrt{3}}{4}a^{2}}}}[/tex]So , now using formula in our question, putting the value of the side, we can thus obtain
[tex]{:\implies \quad \sf Area=\dfrac{\sqrt{3}}{4}(16)^{2}}[/tex]
Putting value of √3 ≈ 1.73 and cancelling 4 we have ;
[tex]{:\implies \quad \sf Area\approx 1.73\times 64}[/tex]
[tex]{:\implies \quad \sf Area\approx 110.72\:\: cm^{2}}[/tex]
[tex]{:\implies \quad \sf Area\approx 110.7\:\: cm^{2}}[/tex]
This is the required answer
In Jamie's town, there are 42,812 adults and 12,358 children. About how many more adults than children are in Jamie's town?
Answer:
30454
Step-by-step explanation:
subtraction on a calculator
42812-12358=30454
solve this 28 - x = 24
Answer:
=> 28 - x = 24
=> x = 24 - 28
=> x = -4
therefore, 28 - 4 = 24
Solve each inequality and graph it's solution set on a number line.
1. 0<2x-10<20
2. x+7<7 OR 5+2x>8
Pls Help 40 Points
Hey there!
1) 0<2x−10<20
0+10<2x−10+10<20+10(Add 10 to all parts)
10<2x<30
10/2 <2x/2 < 30/2 (Divide all parts by 2)
5<x<15
Answer:
5<x<15
Graph in first image
2) x+7<7
Step 1: Subtract 7 from both sides.
x+7−7<7−7
x<0
OR
5+2x>8
Step 1: Simplify both sides of the inequality.
2x+5>8
Step 2: Subtract 5 from both sides.
2x+5−5>8−5
2x>3
Step 3: Divide both sides by 2.
2x/2 > 3/2
x > 3/2
What is 1,035 divided by 5 and what is 1,766 divided by 8?
Answer:
1,035 divide by 5 = 207
1,766 divide by 8 = 220.75
Stephen, Paul & Bridget share some money in the ratio 3 : 4 : 2.
In total, Stephen and Bridget receive £50.
How much does Paul get?
Answer:
£40.
Step-by-step explanation:
In terms of ratio units, Stephen and Bridget together get 3+2 = 5, while Paul receives 4. That is, Paul gets 4/5 of their combined total, or ...
4/5 · £50 = £40
Paul gets £40.
Given parameters:
Ratio of their money = 3 : 4 : 2
Total amount received by Stephen and Bridget = 50
Unknown :
How much did Paul get = ?
Solution:
The amount Paul got is a fraction of the total.
We need to find the total amount first;
Amount Stephen and Bridget got = [tex]\frac{ratio of stephen and bridget}{total ratio} x total amount[/tex]
let the total amount = y;
50 = [tex]\frac{3+2}{9}[/tex] x y
[tex]\frac{5y}{9}[/tex] = 50
5y = 450
y = 90
Now, the amount Paul got;
= [tex]\frac{4}{9} x 90[/tex]
= 40
The amount Paul got is £40
A square is cut into two identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm.
thankyou ~
Solution:
perimeter of rectangle = 2 ( Length + Width )
a square has all sides of similar length. thus [ length = width ]Find length/width:
2 (length + length) = 48
2(length) = 24
length = 12 cm
width = 12 cm
⇒ The dimensions of square: 12 x 12
If the square cut into half, the dimensions of either length or width will half.
Therefore, the perimeter of rectangle:
→ 2 (length + width)
→ 2 ( 12 + 6 )
→ 2 ( 18 )
→ 36 cm
-35 POINTS- A bag contains 30 cards numbered 1 to 30. You are going to select one card, replace the card, and then draw a second card. What is the probability you will draw a 4 and then a number less than 10? Simplify your answer.
Answer:
36
Step-by-step explanation:
you simplify 26 simplify it again and the simplify answer is 36
Answer:
1 / 100. is the answer. got it correct.
Step-by-step explanation:
Help plz and thank u
Answer:
4
Step-by-step explanation:
Slope = 4
(0,-1) and (1,3)
Calculate the distinct permutation of the word "Math"
Letters are
MATHNo repetitions
n=4Distinct permutation:-
n!4!4×3×2×124what is 1/3-(-5/3)=
Answer:
1/3 - (-5/3) = 2
Step-by-step explanation:
1/3 - (-5/3)
Subtracting a negative is the same as adding a positive.
1/3 + 5/3 = 6/3, or 2
In Table 2. at this rate, how much would it
cost to buy 9 books?
(dont mind about the cups of flour)
[tex]\binom{dy}{dx} \sqrt{x} [/tex]
find the derivative of x
3. What figures are formed when a diagonal is drawn in a quadrilateral
a. triangles
b. squares
c. parallelograms
4.which is TRUE about the sides of parallelogram?
a. 1 pair of sides are parallel and equal
b. 2 pairs of sides are parallel and equal
c. 4 sides are equal
5.if two diagonal are drawn in a rhombus or in a square, which of the following will be formed
a. 2 triangles of the same size
b. 2 pairs of triangles of the same size
c. 4 triangles of the same size
6. which of the following describes the sides of a square or of a rhombus
a. no sides are equal
b. two sides are equal
c. all sides are equal
Answer:
3. What figures are formed when a diagonal is drawn in a quadrilateral
a. triangles
4. which is TRUE about the sides of a parallelogram?
b. 2 pairs of sides are parallel and equal
5. if two diagonal are drawn in a rhombus or in a square, which of the following will be formed
a. 2 triangles of the same size
6. which of the following describes the sides of a square or of a rhombus
c. all sides are equal
Hope it helps!!!Brainliest pls!!!Last year 123 students left a college with a pass in English.
This year 27 more students than last year left the college with a pass in English.
The college says
'The number of students leaving college with a pass in English has increased by 24% from last year!
(a) is the college correct?
Show why you think this.
Answer:
yes, (I think)
because 27 more students left this year with a pass and last year the percentage would of been lower I don't know
The college is incorrect, it is 28.125%
What is percentage?Percentage is defined as ratio expressed as a fraction of 100.
No. of students in college in last year = 123 -27 = 96
The number of students leaving college ratio = (27/96)×100%
⇒0.28125×100%
⇒28.125%
The college says,
'The number of students leaving college with a pass in English has increased by 24% from last year
Hence, The college is incorrect, it is 28.125%
Learn more about percentage
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