tan45° = cot45° = 1
---> If tanA + cotA = 2, then A is 45°.
---> tan²A + cot²A = 1² + 1² = 2
The correct answer is 2
During the rainstorm last week, Dwight and his sister wanted to see how much rain they could collect. In order to do this, they put out 12 three-and-a-half liter containers. Each of these containers was filled four times during the storm. How much rain was collected in all?
Answer: 168 liters
Step-by-step explanation:
From the information given , we are informed that they put out 12 three-and-a-half liter containers and that each of these containers was filled four times during the storm.
The amount of rain that was collected in all goes thus:
Since each container was filled 4 times, the amount filled by each container will be:
= 3 1/2 liters × 4
= 14 liters
Therefore, the total amount for the 12 containers will be:
= 12 × 14 liters
= 168 liters
Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....
Answer:
Step-by-step explanation:
Remark
This is an arithmetic series. Each term differs by 6 from the previous one.
Givens
a1 = 21
d = 6
Formula
a_n = a1 + (n - 1)*d
Sample
Try it.
Let's let n = 3 which we have the answer for.
a_3 = 21 + (3-1)*6
a_3 = 21 + 2 * 6
a_3 = 21 + 12
a_3 = 33
That's exactly what the 3rd term is.
Which decimal is equivalent to 2/9 ?
A) 2.2 repeating
B) 2.9
C) 22222
D) 0.2 repeating
Answer:
D) 0.2 repeating
Step-by-step explanation:
2÷9=0.2 repeating
Answer:
D
Step-by-step explanation:
19. A diagonal of a quadrilateral is 26 cm and the perpendiculars drawn to it from the opposite
vertices are 12.8 cm and 11.2 cm. Find the area of the quadrilateral.
A pound of fudge is cut into 8 squares. Each square sells for $2.25.
Which equation represents the total cost, C, for x
squares of fudge?
4x+6y=60 y=2 solve for x
Answer:
x=12
Step-by-step explanation:
4x+6y=60 y=2
4x+6(2)=60
4x+12=60
4x=60-12
4x=48
x=[tex]\frac{48}{4}[/tex]
x=12
Answer: X= 12
Y= 2
Step-by-step explanation:
I need help in this sum plss
Answer:
7.11111111112
Step-by-step explanation:
there should be 10 1's
Answer: look at the picture
Step-by-step explanation: hope this help :)
Write 3 - d/5 = 6 in words.
Three minus D over 5 = 6.
Hope this helps -_
HURRY Please help!!!!!
Please!!!!
Answer:
1. 5>1 true
2. 1<7 true
3. 2>-1 true
4. -6<-30 false
5. 5>6 false
Step-by-step explanation:
Hope this Helped
Graph (3, –3), (–2, 0), (–2, 4) and (5, 4) and connect the points. This polygon is a . The length of the left side . The length of the right side .
This.
(20 characters)
Answer:
Quadrilateral
is 4 units
cannot be determined
Step-by-step explanation:
I had the same assignment question on edge question 3
Which one is it??????
PLZ HELP 10 POINTS FOR THIS QUESTION PLZ PLZ
Answer:
Tried my best..... Hope it helps! :)
How to graph this???
Answer:
you cant see the full picture.
Step-by-step explanation:
If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (g•f)(8)
9514 1404 393
Answer:
-374
Step-by-step explanation:
f(8) = -8 +6 = -2
g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187
Then the product is ...
(g•f)(8) = g(8)•f(8) = 187·(-2)
(g•f)(8) = -374
Write a proportion (or equation) to find the part, whole or percent. Then, solve.
What percent of 50 is 10?
Proportion or equation:
Answer: _______________________
What number is 50% of 20?
Proportion or equation:
Answer: _______________________
12 is 3% of what number?
Proportion or equation:
Answer: ______________________
Answer:
20%
Step-by-step explanation:
What is 10 as a percentage of 50? 1000 ÷ 50 = 20. Answer: 10 is 20% of 50.
HELP ME ASAP! I have this assignment as missing ahhhh!! I'll mark brainliest
In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD.
What is the length of side BE?
Answer:
[tex] 3\frac{1}{3} [/tex]
or
[tex] \frac{10}{3} [/tex]
or
[tex]3.333[/tex]
Step-by-step explanation:
These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.
Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.
Side AC corresponds with DE
Side AB corresponds with BE
Side BC corresponds with BD
So we can use this proportion theorem, or angle bisector theorem
[tex] \frac{ac}{ab} = \frac{de}{be} [/tex]
Plug in the numbers.
[tex] \frac{3}{5} = \frac{2}{x} [/tex]
Cross multiply
[tex]3x = 10[/tex]
[tex]x = \frac{10}{3} [/tex]
As a decimal it equal
[tex]3.333[/tex]
or
[tex] 3\frac{1}{3} [/tex]
Question 12
If a car tries to stop on ice, the distance the car slides can be modeled by the equation s= 50d + 25 where s stands
for speed in mph and d stands for distance in feet. What distance will you slide if your car is traveling at a speed of
55 mph?
[tex]s = 50d + 25[/tex]
[tex]55 = 50d + 25[/tex]
[tex]55 - 25 = 50d + 25 - 25[/tex]
[tex]30 = 50d[/tex]
[tex] \frac{30}{50} = \frac{50d}{50} [/tex]
[tex]0.6 = d[/tex]
Your car would slide a distance of 0.6 feet.
if the sum of 2 digits no. is 9 and their differenc is 1 find te no.
Answer:
Let the ten's digit no. be x and one's digit no. be y.
So the no. will be = 10x+y.
Given : x+y=9-----(I)
9(10x+y)=2(10y+x) ⇒88x−11y=0 -----(II)
On solving I and II simultaneously you will get x=1 and y=8.
Therefore your desired no. is 18.
Step-by-step explanation:
Hope it is helpful.....
please help it almost due to 15 points
Answer:
a=30
b=15
c=3
d=30
e=10
Step-by-step explanation:
Solve for A first and continue solving for one variable at a time
what 5/8x + 1/2 (1/4x + 10)?
Answer:
3/4x + 5
Step-by-step explanation:
5/8x + 1/2 ( 1/4x + 10) = 5/8x + 1/8x + 5 = 6/8x + 5 = 3/4x + 5
solve for x
3x + 4 = 13
Answer:
x = 3
Step-by-step explanation:
3x = 13-4
=> 3x = 9
=> x = 3
6x - 18 < 27 please help me with answer
Answer:
that's inequality topic right?
Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
Joel spent $28 for an Internet data service
and
pays $14.50 per month. He spent 24 50 to join
an online movie streaming site and bays $13.25
per month. Write an expression to represent
Joel's total cost for both memberships after
m months
Answer: 42.50m + 37.75
Step-by-step explanation:
28+14.50m = 42.50m
24.50+13.25m = 37.75m
So the answer is, 42.50m + 37.75m
What is the degree of X4 - 3x + 2?
A. 3
B. 4
O o O o
C. 5
D. 2
SUBMIT
Answer:
the degree of the equation is 1
6. Louie's Lemonade is available in 2.5 gallon jugs. A serving is 8 fluid ounces (fl. Oz.). How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Answer:
5 servings
Step-by-step explanation:
2.5 gal x 16 cups each= 40 cups total
1 cup = 8 oz
40 oz / 8 oz = 5 servings
help quick!!
Part A: Bill earned $12 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Bill earned Saturday and Sunday.
Part B: Bill was able to walk 2 more than twice as many dogs as his friend Steve. Write an algebraic expression to represent the number of dogs Bill walked compared with Steve.
Answer:
Part A: 12 + x
Part B: 2s + 2
Step-by-step explanation:
First thing you need to know is the difference between an expression and an equation. An expression does not have an equal sign, while an equation does.
To write an expression for Part A, first write the 12 (the amount he got on Saturday). Then, we need to write the addition sign (to find the total amount Bill earned). We don't know how much Bill earned on Sunday, so use any variable (I used x). Because we're writing an expression, do not write an equal sign.
To write an expression for Part B, first write the amount of dogs his friend Steve walked using a variable because we don't know that number (I used the variable s). Then, since Bill walked 2 more than twice as many dogs Steve walked, write the s multiplied by the 2 or just 2s. Now add the addition sign (to find the total amount Bill walked). Add a 2 because Bill walked 2 more dogs than twice as many Steve walked.
Hope it helps!
The expressions formed are 12+x and 2y+2.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Let x be the amount of money Bill earned on Sunday.
He earned $12 on Saturday.
The total amount of money Bill earned is,
=> 12 + x
Let the number of dogs Bill's friend Steve walked is y.
Then the expression for the number of dogs Bill walked compared with Steve is,
=> 2y +2
To know more about Expression
https://brainly.com/question/14083225
#SPJ5
Ignore the Brief Introduction
Answer:
pretest
1. B
2.A
3.B orchid ....
4.C
5.C
looking back
1.E
2.A
3.B
4.C
5.D
A sphere has a radius of 1 inch. What is the volume of the sphere, in cubic inches?
Answer:
V≈ 4.19in³
Step-by-step explanation:
V=4/3 π r³= 4/3 ·π· 1³ ≈4.18879in³
Solve: -3k(1-6k)=6k+21
Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
k
=
3
+
√
177
12
,
3
−
√
177
12
Decimal Form:
k
=
1.35867789
…
,
−
0.85867789
…
Step-by-step explanation