Verify the identity shown below.
tan∅+cot∅=sec∅×csc∅
Answer:5
That is exactly correct! Just two things: First, tan,sin,cos, etc hold no meaning on their own, they need an argument. So just be sure to write tanx, cosx etc rather than just tan or cos.
Finally, you could save time on your proof by noticing on the fourth step that
1cosxsinx=1cosx1sinx=secxcscx
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Step-by-step explanation:
factorise x squared - 2 x - 24
Answer:
-2(x+12)
Step-by-step explanation:
yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson has left after x days?
Answer:
30-2x
Step-by-step explanation:
yuson has to finish am total of 30 hours in community service
she does 2 hours each day
in x days, hour of service done=2x
after x days hours of service left=30-2x
therefore the linear equation representing the hours yuson has left after x days is:
30-2x
A scale drawing of a square object has a scale of 1 in. : 8 mm. The scale drawing has a length of 6 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.
The perimeter of the actual object is 67.2 mm.
The area of the actual object is 282.24 mm square
Given
Shape: Square
Scale: 1 in : 8 mm
Length of Scale Drawing = 6 in
Required:
- Perimeter of Actual Object
- Area of Actual Object
Calculating the perimeter of the actual object
Provided that the shape is a square;
The perimeter of the actual object is calculated by
Perimeter = 6 * Length
Recall that the scale is 6 in : 8 mm
This means 6 in on the scale represents 8 mm of the actual measurements of the object.
So, if 6 in ≈ 8 mm, then
6.8 in ≈ 6.8 * 8 mm
6.8 in = 16.8 mm
So, Length = 16.8mm
Now, the perimeter of the actual object can be calculated.
P = 4 * 16.8mm
P = 67.2mm
Hence, the perimeter of the actual measurements is 67.2 mm.
Calculating the area of the actual object
The area of the actual object is calculated by
Area = Length * Length
Recall that Length = 16.8 mm as calculated above
So,
Area = 16.8 * 16.8
Area = 282.24 mm square
Hence, the area of the actual object is 282.24 mm square
Jocelyn needs to write a 12-page paper for class. If she has already written 4 pages and can write 2 more pages per day, how many days will it take her to finish her paper?
Answer:
5 days
Step-by-step explanation:
skip counting
4, 6, 8, 10, 12 then count those and you have 5 days
In what group of 120 seventh graders, 30% have completed their science project. how many students have completed their science project?
Answer:
36
Step-by-step explanation:
30% of 120 is 120 x 0.3
120 x 0.3 =36.
You put $500 in a savings account with a simple interest rate of 3%. How long did it take you to earn $30 interest?
I =
P =
r =
t = ?
Answer:
2 years.
or
2 interest rates.
Step-by-step explanation:
The interest rate is per year.
3% of 500 = 15
so it took 2 years.
Jake bought some blueberries for $6 per pound and some strawberries for $4 per pound. He spent a total of $36. Which graph represents all the possible combinations of blueberries (b) and strawberries (s) that Jake could have bought?
The equation for the all-out number of blueberries and strawberries.
6x + 4y = 36
An equation is a mathematical explanation that is comprised of two expressions associated with an equal sign.
2x + 3 = 9 is an equation.
We have,
Cost of one pound of blueberries = is $6
Number of pounds of blueberries = x
Cost of one pound of strawberries = is $4
Number of pounds of strawberries = y
The equation for the all-out number of blueberries and strawberries.
6x + 4y = 36
In its most straightforward structure in algebra, the meaning of an equation is a numerical explanation that shows that two numerical expressions are equivalent. For example, 3x + 5 = 14 is an equation, where 3x + 5 and 14 are two expressions isolated by an 'equivalent' sign.
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Find the values of x and y in the diagram. to A X = and y
Answer:
Where is the diagram?
Step-by-step explanation:
Where is the diagram?
Given that a = 17 m and b = 7.6 m, work out X.
Give your answer rounded to 1 DP.
х
(Pythagoras longer side)
Answer:
Step-by-step explanation:
a^2+b^2=c^2
17^2+7.6^2=c^2
[tex]\sqrt{17^2+7.6^2}[/tex]=c
c=18.6214
corrected to 1dp= 18.6 m
Given the exponential equation, y = 100(1/5)x, circle the letter that accurately describes the table of values:
A. Increasing by a multiplication of 5. B. Increasing by an addition of 5.
C. Decreasing by a division of 5. D. Decreasing by a subtraction of 5.
Answer:
the answer is D.
Step-by-step explanation:
What is the volume of a sphere of 13cm? using 3.14
Answer:
9,203.97 cm^3
Step-by-step explanation:
Here, we want to calculate the volume of the sphere of radius 13 cm
The formula for this;
V = 4/3 * pi * r^3
V = 4/3 * 3.142 * 13^3
V = 9,203.97 cm^3
please help
y = -4x + 3
y = x - 7
Answer:
x=2,y=-5
Step-by-step explanation:
−4x+3=x−7
x=2; y=−5
Answer:
y = -5 and x = 2
Step-by-step explanation:
substitute y in the first equation with x-7 from the second equation
x-7 = -4x+3
combine like terms
5x = 10
solve for x
x = 2
plug in x into either equation to solve for y (I used the second equation, but you can use either)
y = 2-7
y =-5
How do I solve this? I need step by step
y=2x
x=-y+6
Notice that y = 2x, which means you can replace any y and turn them into 2x
x = -y + 6
x = -(2x) + 6
Move the x terms to the left and change the sign
x + 2x = 6
3x = 6
x = 2
Now that you know x, substitute them back into the first y = 2x
y = 2(2)
y = 4
Answer: x = 2, y = 4
Determine whether the expression is a polynomial. If it is a polynomial state the degree of the polynomial
3z^2 - 5z + 11
The expression is a polynomial and and the degree of the polynomial(quadratic equation) is 2.
What is a polynomial expression?
A polynomial expression is an algebraic expression that takes the form [tex]\mathbf{ax^{n > 1}+bx+c}[/tex]. It consist of variables, arithmetic operator, non-integers and coefficient.
A quadratic equation is a form of polynomial equation due to the fact that it comprises of a power of x for which x is a non-negative integer. However, the degree of a quadratic equation is 2.
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100 point NO SAMPLE ANSWERS PLEASE!
When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. Generate instructions you would give another student to determine the scale factor.
brainiest if you don't give sample answers
Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Answer:
First you have to find the ordered pairs for the shapes. Then figure out how much the pre-image was multiplied by. The number it was multiplied by is your scale value.
Step-by-step explanation:
I took the assessment. :)
4x + 3y = 1
x - 3y = -11
Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 1 → (1)
x - 3y = - 11 → (2)
Adding the 2 equations term by term will eliminate the y- term
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
4(- 2) + 3y = 1
- 8 + 3y = 1 ( add 8 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (2, - 3 )
Answer:
x=-2, y=3
Step-by-step explanation:
4x + 3y = 1.......... Equ 1
x - 3y = -11...........Equ 2
5x=-10
x=-2
From equ 1
4x + 3y =1
4(-2)+3y=1
-8+3y=1
3y=1+8
3y=9
y=3
Find the solution set of the inequality
- 4x +35> 2−4x+35>2minus, 4, x, plus, 35, is greater than, 2
xxx
Answer:
[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]
Step-by-step explanation:
A inequality is given to us and we need to find the solution set. So the given inequality to us is ,
-4x + 35 >2[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]
★ Hence the solution set is x € ( 33/4 , ∞ ).Answer:
Step-by-step explanation:
5
What is the median of the data set?
{7, 4, 2, 0, 12, 7,3}
Select from the drop-down menu to correctly complete the statement.
The median of the data set is Choose... 0, 4, 5, 7, 12
Answer:
4
Step-by-step explanation:
To find the median (middle) of the data set, first arrange the numbers in order: 0, 2, 3, 4, 7, 7, 12. Now find the middle number: 4.
Hope it helps!
Answer:
4
Step-by-step explanation:
HELP I DON'T UNDERSTAND
I need help with geometry
Answer:
the answer will be A
Step-by-step explanation:
1/3 + a = 5/4 what is a
Answer:
a=11/12
Step-by-step explanation:
1/3+a=5/4
a=5/4 - 1/3
a=11/12
Answer:
11/12
Step-by-step explanation:
If we make both fractions have the same denominator, then it would be 4/12 + a = 15/12, so 15 - 4 = 11. So the answer would be 11/12.
how to find the measure of a arc in a circle
Answer:
using the (pi) which is the formula
9514 1404 393
Answer:
it depends on what measure you want
Step-by-step explanation:
The angular measure of an arc of a circle is equal to the central angle it subtends.
θ = θ
__
The length measure of an arc of a circle is equal to the product of the central angle in radians and the radius.
s = rθ
Find the slope and the y-intercept of the line.
y=5x-6
slope:
y-intercept: :
Answer:
slope is 5 y intercept is -6
Step-by-step explanation:
write an equivalent fraction for each whole
Answer:
If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.
Step-by-step explanation:
9. April's test scores in physics are 78, 85,65, 82, 90, and 95. Find the mean
and standard deviation of the data.
Answer:
82.5
Step-by-step explanation:
the mean and standard deviation of the data is 82.5
Answer:
82.6666667 or 82.7
Step-by-step explanation:
79+85+65+82+90+95=496
496 divided by 6=82.6666667
pls help ill make brainliest
Answer:
I would say option C would float if not it is A hope this helps and plz mark as Brainlest.
Step-by-step explanation:
5 times 10 divided by 4
Answer:
12.5 is the awnser hope i helped
Step-by-step explanation:
Find the volumes of the pyramid and triangular pyramid.
Answer:
1) Volume of triangular pyramid = 33 cm³.
2) Volume of triangular prism = 99 cm³
Step-by-step explanation:
1) Volume of a triangular pyramid is given as;
V_py = ⅓Ah
Where A is area of base and h is height
We see from the diagram that;
A = 11 cm²
h = 9 cm
Thus; V_py = ⅓ × 11 × 9 = 33 cm³
2) Volume of triangular prism is given by;
V_pr = ½bhl
Where;
½bh is area of triangular cross section
l is length
We see from the diagram that ½bh = 11 cm² and L = 9 cm
Thus;
V_pr = 11 × 9 = 99 cm³
solve the equation 4+3x-1/2=9 .Explain the reasons why you chose your solution method.
Answer:
x = 5
Step-by-step explanation:
that would look like this:
[tex]\frac{4+3x-1}{2}=9[/tex]
first, to remove the denominator (2), we should multiply both sides by 2. therefore, we get:
4 + 3x - 1 = 18.
now, we transpose 4 and -1 to the other side, in order to isolate 3x.
3x = 18 + 1 - 4
3x = 15
to find x, we divide both sides by 3. therefore, we get:
x = 5
Answer:
Step-by-step explanation:
[tex]4 + 3x - \frac{1}{2}=9[/tex]
Subtract 4 from both the sides
[tex]3x - \frac{1}{2}=9 - 4\\\\3x - \frac{1}{2}= 5[/tex]
Add (1/2) to both sides
[tex]3x = 5 + \frac{1}{2}\\\\3x = \frac{5*2}{1*2}+\frac{1}{2}\\\\3x=\frac{10}{2}+\frac{1}{2}\\\\3x=\frac{10+1}{2}\\\\3x=\frac{11}{2}\\\\x=\frac{11}{2*3}\\\\x=\frac{11}{6}[/tex]
