Answer:
A
Step-by-step explanation:
It have the same sides!
Simplify cos^2theta(1+ tan^2theta)
Answer:
1
Step-by-step explanation:
We will use x instead of theta
● cos^2 x *(1+tan^2x)
We khow that: 1+ tan^2 x = 1/cos^2 x
Replace 1+tan^2 x by the new expression
● cos^2 x (1/cos^2 x)
● cos^2x/ cos^2 x
● 1
4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
Work out the value of h and k
H and k are integer constants
Answer:
4hx - 8x - 3h - 4
k = ------------------------
5
8x + 5k + 4
h = ------------------------
4x - 3
Step-by-step explanation:
4 (hx - 1) - 3 (x + h) = 5 (x + k)
4hx - 4 - 3 (x + h) = 5 (x + k)
4hx - 4 - 3x - 3h = 5 (x + k)
4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides
4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify
4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides
4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify
4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides
4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify
4hx - 8x = 5k + 3h + 4
4hx - 8x - 3h - 4 = 5k
4hx - 8x - 3h - 4
k = ------------------------
5
solving for h;
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
8x + 5k + 4
h = ------------------------
4x - 3
The value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively
Given:
4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
open parenthesis
4hx - 4 - 3x - 3h = 5x + 5k
4hx - 4 - 3x - 3h - 5x - 5k = 0
4hx - 8x - 3h - 5k - 4 = 0
For k
4hx - 8x - 3h - 4 = 5k
[tex]k = (4hx - 8x - 3h - 4) / 5[/tex]
For h
4hx - 8x - 3h - 5k - 4 = 0
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
[tex]h = (8x + 5k + 4) / (4x - 3)[/tex]
Therefore, the value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively
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Help me with 1 please
Answer:
[tex]\huge\boxed{Mass = 11600\ kg}[/tex]
Step-by-step explanation:
Given:
Density = ρ = 2900 kg/m³
Volume = V = 4 m³
Required:
Mass = m = ?
Formula:
Mass = Density × Volume
Solution:
Mass = 2900 * 4
Mass = 11600 kg
For the mathematics projects, a teacher divides 27 students into 2 groups. One group has more students than twice the number of students in the other group by 3. Find the number of students in both groups.
Write as a equation.
Answer:
8, 19
Step-by-step explanation:
let group 1 have x students and group 2 have y students
x + y = 27
but group 2 has 2x + 3 students
the sum of students from both groups is 27
x + 2x + 3 = 27
3x + 3 = 27
3x = 24
x = 8
y = 2x + 3
y = 19
x/t+m=b need to make x the subject
Answer:
x=(t+m)/b is the answer
Step-by-step explanation:
Hope it will help :)
Answer:
x = t(b-m)
Step-by-step explanation:
x/t + m =b
subtract m from each side
x/t +m-m = b-m
x/t =b-m
Multiply each side by t
x/t *t = t(b-m)
x = t(b-m)
(3)/(22)+(-(1)/(11) find the sum without use of a number line
Answer:
1/22
Step-by-step explanation:
Simplify it.
It becomes 3/22-1/11
Change the denominator to 22 becasue that is the LCM.
It becomes 3/22-2/22 which is 1/22. :)
4x- 3y = -13 -x + 6y = -44
Answer:
3x and 9y and -31 is the correct answer if you are bloviating.
Step-by-step explanation:
bloviate the factors of x and y.
Pls answer this question as soon as possible
Answer:
The answer is -½.
✌ yeah it is ✌
3/v=2/4? i need help plz
Answer:
v = 6
Step-by-step explanation:
3/v = 2/4
We can use cross products to solve
2v = 3*4
2v = 12
Divide each side by 2
2v/2 = 12/2
v =6
Answer:
v=6
Step-by-step explanation:
If this is making them equal, then you should know that 2/4 is 1/2 , so you could just multiply 3 by both the 1 and the 2 in 1/2 and 1 times 3 is 3 which is what we have and 2 times 3 is 6 which is v.
It takes a copy machine 6 minutes to complete a job. How many minutes are left on a job if 2/3 of the job is now complete?
2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes
On Tuesday, Dec. 3, I began drinking a glass of cola every day except Saturday and Sunday. I drank my 22nd glass of cold on A) Dec. 24 B) Dec. 25 C) Dec. 31 D) Jan. 1
Answer:
The correct option is;
D) Jan. 1
Step-by-step explanation:
The given information are;
The date at which drinking a glass of cola a day of cola began = Dec 3
The days in which to drink cols = Every day of the week except Saturday and Sunday
The number of glasses of drinking cola = 22
In the fires week, number of days in which to drink cola = Tuesday, Wednesday, Thursday, and Friday which is 4 days
On the week commencing Dec 9, 5 glasses drank
On the week commencing Dec 16, 5 glasses drank
On the week commencing Dec 23, 5 glasses drank
On the week commencing Dec 30, 3 glasses drank
Therefore on the week commencing Dec 30, cola was drank on the 30th, 31st and the 22nd glass was drank on Jan. 1
The correct option is Jan. 1.
2x/9 +x/3 = 13/6, solve for x
Answer:
x = 3 9/10
Step-by-step explanation:
2x/9 +x/3 = 13/6
Get a common denominator on the left side
2x/9 + x/3 *3/3 = 13/6
2x/9 + 3x/9 = 13/6
5x/9 = 13/6
Multiply each side by 9/5 to isolate x
5x/9 *9/5 = 13/6 * 9/5
x = 117/30
Divide the top and bottom by 3
x = 39/10
x = 3 9/10
Answer:
[tex]\bold{\red{\boxed{\blue{ x = 3.9}}}}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{9} + \frac{x}{3} = \frac{13}{6} \\ \frac{2x + 3x}{9} = \frac{13}{6} \\ \frac{5x}{9} = \frac{13}{6} \\ use \: \: cross \: \: multipication \\ 5x \times 6 = 9 \times 13 \\ 30x =11 7 \\ \frac{30x}{30} = \frac{117}{30} \\ x = 3.9[/tex]
Please help me solve this. With Reasoning
6 2/5 - 4 2/3
Answer:
1 and 11/15.
Step-by-step explanation:
To solve, we can separate the integers from the fractions.
(6 - 4) + (2/5 - 2/3)
= 2 + (6/15 - 10/15)
= 2 + (-4/15)
= 1 + 15/15 - 4/15
= 1 + 11/15
= 1 and 11/15
Hope this helps!
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
solve 3(11)× =3,993 for x
Hi there! :)
Answer:
[tex]\huge\boxed{x = 3}[/tex]
Given the equation:
[tex]3(11)^{x} = 3993[/tex]
Divide both sides by 3:
[tex](11)^{x} = 1331[/tex]
Rewrite both sides of the equation with a base of 11.
[tex]1331 = 11^{3}[/tex], therefore:
[tex](11)^{x} = 11^{3}[/tex]
x = 3.
Answer:
121
Step-by-step explanation:
121 x 33 = 3993
kind of urgent!! Please describe a real-world scenario in which it would be important to know how to apply scale factors.
One example is that you're given blueprints and you want to find out how large the object is in real life, rather than just on paper. The scale factor will help find those real life measurements. Let's say a house on paper is 2 inches long, and also let's say the scale factor is labeled "1 inch = 20 feet". This means the real life house is 2*20 = 40 feet long.
You could think of it as 1 inch = 20 feet, so 2 inches = 40 feet (multiply both sides by 2).
Scale factors are also used in maps. Look at the bottom corner of any map and it will show you how each distance on paper corresponds to a real life distance (in miles or kilometers maybe). Usually it shows a checkered "ruler" of sorts.
Answer:
everyday living
Step-by-step explanation:
Scale factors are involved in virtually every aspect of the logistics of everyday life. Scale factors of number of units, price per unit, and tax rate are applied to every shopping experience. Scale factors of miles per gallon, or daily rate, or number of travelers are applied to most travel experiences. Scale factors of number of people and/or serving size are applied to food planning--even when ordering pizza.
Scale factors are involved in virtually every aspect of engineering, from specifying or estimating a job, to scheduling, material choice, purchase, and application. Sometimes, these are "rules of thumb", and sometimes they are based on careful calculation.
Much of modern technology is based on the observation that computing power doubles every 2 years or so--a scale factor consistently seen for more than 50 years. This has informed systems planning in many different industries.
Please answer this question now
Answer:
200 cm³ is the volume of the pyramid
Answer:
200 cubic centimeters
Step-by-step explanation:
l = length = 10 cm
w = width = 10 cm
h = height = 6cm
V = lwh / 3
= 10 * 10 * 6 / 3
= 100 * 6 / 3
= 600 /3
= 200 cubic cm
Hope this helps! Tell me if I am incorrect!
Nathan, a tutor, buys 5 calculators for $7.50 each at a store, planning to provide one to each of his clients. However, the next day, he discovers that the same calculators has gone on sale for $5.00 and also discovers that he will only have three tutoring clients instead of five. He returns the five calculators and purchases three calculators at the new sale price. He uses the following expression to determine the amount he should receive back from the store. (5 x $7.50) - (3 x $5.00) Which of the following expressions could Nathan have used. 5 ($7.50 - $5.00). $7.50 - $5.00. (5 x $7.50) - $5.00. (5 x $7.50) - $5.00. 3 ($7.50 - $5.00) +2 x $7.50
Answer: 5 (7.50-3 )
Step-by-step explanation:
Given: Previous price of calculator = $7.50
Number of client =5
Total price = (Number of calculators) x (Price for each calculator)
Total price of 5 calculators = (5 x $7.50)
New price of calculator = $5.00
Number of client =3
Total price of 3 calculators = (3 x $5)
Price will receive = (Total price of 5 calculators) -(Total price of 3 calculators )
= (5 x $7.50) - (3 x $5)
= 5 (7.50-3 )
Required expression: 5 (7.50-3 )
What is the value of the expression below when x = 5 and y = 2?
X + 6y
The value of the expression x + 6y when x = 5 and y = 2 is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x + 6y
When x = 5 and y = 2
= x + 6y
= 5 + 6 x 2
= 5 + 12
= 17
Thus,
The value is 17.
Learn more about expressions here:
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PLEASE HELP!!!!!! URGENT!!!!!!!!! ALGEBRA! Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas. Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas. Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas. Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas. Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items. What are the costs of a pack of pasta, a pack of noodles, and a pack of split peas? A) Pasta: $0.69 per pack, Noodles: $0.25 per pack, Split peas: $0.99 per pack B) Pasta: $1.09 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack C) Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack D) Pasta: $0.69 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack
Answer:
option d
sorry it took so long.
Make up an expression of your own that satisfies the following:
Must have at least: 4 terms, 1 constant, 2 variables with coefficients and appropriate
operation signs.
There are infinitely many ways to answer this as there is no one single answer to pick from.
Here is one possible answer: x^3 + 5x^2 + 7x + 12The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.
The constant is 12. It does not have any variable attached to it.
Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.
The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.
Need help please will give you 5 stars and good rating
Answer:
two complex solutions
Step-by-step explanation:
2x^2 + 4x+4
Factor out 2
2( x^2+2x+2)
Using the discriminant on the inner term
b^2 -4ac where a=1 b=2 c=2
2^2 -4 (1) (2)
4 - 8
-4
Since the discriminant is negative, we will have 2 complex solutions
Answer:
2 complex solutions
Step-by-step explanation:
Given the standard form quadratic ...
ax^2 +bx +c
The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...
a=2, b=4, c=4
so the discriminant is ...
d = b^2 -4ac = 4^2 -4(2)(4) = -16
Because the discriminant is negative, we can predict there are 2 complex solutions.
__
The graph has no x-intercepts, confirming there are 2 complex solutions.
Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles
Answer:
The angles are 63 , 97
Step-by-step explanation:
Let one angle be x
As sum of two angles is 160, the other angle = 160 - x
Their difference = 34
x - [160- x] = 34
Use distributive property to remove the brackets
x - 160 + x = 34
Add like terms
x + x - 160 = 34
2x - 160 = 34
Add 160 to both sides
2x = 34 + 160
2x = 194
Divide both sides by 2
2x/2 = 194/2
x = 97°
One angle = 97°
Other angle = 160 - 97 = 63°
this is progression
i need to know C plsssss
thankssssssssssßsssssss
Answer:
[tex]l = 28[/tex]
Step-by-step explanation:
Given
[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]
Required
What is l when S = 725
This can be solved using Sum of n terms of an AP;
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where
[tex]S_n = 725[/tex]
[tex]T_1 = first\ term[/tex]
To get T1; we substitute 4 for k in 2k - 3
[tex]T_1 = 2 * 4 - 3[/tex]
[tex]T_1 = 8 - 3[/tex]
[tex]T_1 = 5[/tex]
[tex]T_n = last\ term[/tex]
To get Tn; we substitute l for k in 2k - 3
[tex]T_n = 2 * l - 3[/tex]
[tex]T_n = 2l - 3[/tex]
n = the number of terms;
Since k = 4 to l, then
[tex]n = l - 4 +1[/tex]
[tex]n = l - 3[/tex]
Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]
Collect Like Terms
[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]
[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]
Open the bracket
[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]
[tex]725 = (l-3) * l + (l-3)[/tex]
[tex]725 = l^2-3l + l-3[/tex]
[tex]725 = l^2-2l -3[/tex]
Subtract 725 from both sides
[tex]725 - 725 = l^2-2l -3 - 725[/tex]
[tex]l^2-2l -3 - 725 = 0[/tex]
[tex]l^2-2l - 728 = 0[/tex]
[tex]l^2 + 26l - 28l - 728 = 0[/tex]
[tex]l(l + 26) - 28(l + 26) = 0[/tex]
[tex](l - 28)(l + 26) = 0[/tex]
[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]
[tex]l = 28[/tex] or [tex]l = -26[/tex]
But l must be positive;
Hence, [tex]l = 28[/tex]
answer it answer it it
Answer:
answer it answer it it
answer it answer it it
Answer:
the answer is answer i hope u have a great day
(if u apricate me giive me a brainly by pressing the crown and giving me a heart) THANKS!!!
Step-by-step explanation:
A vehicle has a will 15 inches in diameter. If the vehicle travels 2 miles, how many revolutions does the wheel make? This is Applications of unit conversions
Find the circumference of the wheel:
Circumference = PI x Diameter = 3.14 x 15 = 47.1 inches.
Every revolution the tire travels 47.1 inches.
1 mile = 5,280 feet, so 2 miles = 5280 x 2 = 10,560 feet.
1 foot = 12 inches.
2 miles = 10,560 feet x 12 = 126,720 inches.
Revolutions = total distance / distance per revolution:
Revolutions = 126,720 / 47.1 = 2,690.45 revolutions ( round answer as needed.)
Simplify the following expression. (10-4i)(4-5i)+(-15+20i)
Answer:
5-46i
Step-by-step explanation:
1. Multiply (10-4i) and (4-5i), I recomnd using foil:
40-50i-16+20i^2 + (-15+20i)
2. Remove the parenthesis around -15+20i
*we can do this since there is a "+":
40-50i-16+20i^2 + (-15)+20
3. Simplify i^2
* i^2 is -1 by textbook defination:
40-50i-16+20(-1) + (-15)+20
4. Simplify
40-50i-16-20 + (-15)+20
6. Combine like terms:
-5-50i-16i+20i
5-46i
And the problem is done
PLEASE HELP MEEE How can a company use a scatter plot to make future sale decisions
Answer:
by tracking data of how much money was made on one product in a certain amount of time
Step-by-step explanation:
The parent council is in charge of making lemonade for field day.They purchased 19 bags of lemon.each bag has 24 lemons.The recipe says that a gallon of lemonade will require 8 lemons.they will be able to pour 12 cups of lemonade from each gallon that they make.How many cups of lemonade will the parent council be able to serve?
Answer:
684
Step-by-step explanation:
19 x 24 = 456
456 divided by 8 = 57
57 x 12 = 684
Consider 6x2 + 6x + 1. Which term immediately tells you that this expression is NOT a perfect square trinomial? Justify your answer.
Answer:
Step-by-step explanation:
The 6x^2 because 6 is not a perfect square.
Answer:
6x^2
Step-by-step explanation:
6 isn't a perfect square