.90° + 45° + x = 180°
{Sum of angles of triangles = 180°}
135° + x = 180°
x = 45°
2.61° + 90° + x = 180
151 + x = 180
x = 29°
3.31° + 90° + x = 180°
122° + x = 180°
x = 58°
4.x + 15° +90° = 180°
x = 180° - 105°
x = 75
~Tulpe⚘
Gianna rojas
megan, julie, and anna together made $18.75 raking
leaves. they used the equation 3n = 18.75 to determine
the amount of money each person would earn. what is the
value of n?
By dividing both sides by 3, we conclude that each person gets $6.25.
How to get the value of n?
Here we want to solve the equation:
3n = 18.75
for n.
Remember that if we perform the same operation in both sides of the equality, then the equality remains true.
So here we can divide both sides of the equation by 3, so we get:
(3n)/3 = 18.75/3
n = 18.75/3 = 6.25
n = 6.25
So we can conclude that each one gets $6.25
If you want to learn more about divisions:
https://brainly.com/question/1622425
#SPJ1
Which of the following lines are shown in the drawing?
LI
GJ
CJ
BE
FA
WILL MARK BRAINLIEST
Answer:
FA Is the closest so thats your answer.
Step-by-step explanation:
length of a rectangular grarden is Im and the breadth is 6m. calculate its area in mm2
CALCULATE THE AREA
=LENGTH X BREADTH
=6M X 1M
[tex]6 {m}^{2} [/tex]
NOW CHANGE THE METRES TO MILLIMETRES
=1000MM=1M
SO,IF 1M=1000MM
THEN 6M=MORE
IF MORE LESS WILL DIVIDE
GIVING YOU
[tex] \frac{6}{1} \times 1000mm[/tex]
[tex]6000mm[/tex]
please please help please please help me asap help me asap
Answer:
its just like doing normal area just work it out then add the different sdhapes areas together
Step-by-step explanation:
An airplane flight has 207 seats. the probability that a person who buys a ticket actually goes on that flight is about 90%. if the airline wants to fill all the seats on the flight, how many tickets should it sell?
Answer:
230 tickets
Step-by-step explanation:
Create a proportion using the given information:
Let's set x equal to the number of tickets that need to be sold.
[tex]\frac{207}{90} =\frac{x}{100}[/tex]
Cross multiply and you get:
[tex]90x=20700\\[/tex]
Then divide both sides by 90 to get:
[tex]x = 230[/tex]
This means that 230 tickets need to be sold in order to fill all of the seats on the flight.
This number line models the division problem 1/3÷6 . What is the quotient? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer: 1/200
Step-by-step explanation:
1/6 divided by 6 is equal to 0.05555555555 Which is equal to about 1/200
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 21 centimeters. The student incorrectly says that the length of the hypotenuse is 7.3 centimeters. Answer parts a and b. a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. cm. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is (Round to the nearest tenth as needed.)
Answer:
Step-by-step explanation:
You need the Pythagorean Theorem to solve this question. There is no be part.
Equation
c^2 = a^2 + b^2
Givens
a = 32
b = 21
c = ?
Solution
c^2 = a^2 + b^2 Substitute the values
c^2 = 32^2 + 21^2 Expand
c^2 = 1024 + 441 Combine
c^2 = 1465 Take the square root of both sides
√c^2 = √1465
c = 38.275
Answer: 38.3 rounded
NEEED HELPPPP TRYING NOT TO FAIL MATHH !!
A box of facial tissues is 22cm by 10.5 cm by 8cm. How much cardboard is on the outside surface?
Answer:
1848 cm
Step-by-step explanation:
You would multiply 22 by 10.5 by 8 centimeters which would equal 1848 centimeters.
Which of the following adjectives would best describe the life of a fur trapper?
A) predictable
B) solitary
C) refined
D) civilized
Answer:
B. Solitary
Step-by-step explanation:
Fur trappers often lived solitary lives in the woods. They stayed there for months at a time. Their life was not predictable, they might not find many animals in their area. Their life was not refined, they lived in rough cabins in the middle of the forest. Their life was not civilized, since they barely had many of the comforts of life.
Can someone explain this?
Answer:
see the attachment!
i hope this can help you.
Find the 12th term of the geometric sequence 4, 8, 16, ...
Answer:
8192
Step-by-step explanation:
The pattern is mulitply by 2 to get the next term
4*2=8
8*2=16
So: 4,8,16,32,64,128,256,512,1024,2048,4096,8192
Evaluate:
-6 ÷ (-3)
0 ÷ 15
35 ÷ [(-25) + (-10)
[1 + (-2)] ÷ [(-3) + 4]
0÷ [2 - (-2)]
Step-by-step explanation:
the answer s correspond to the way the questions are arranged
-2
0
-1
-1
0
the table shows the total cost for the number of raffle tickets purchased. write an equation that represents the relationship between these two quantities. Use the equation to find the cost of 6 tickets
The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the total cost of x tickets.
From the table:
1 ticket cost $4, hence:
y = 4x
The cost of 6 tickets is:
y = 4(6) = 24
The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Evaluate arcsin(1) and arctan√3
The value of arcsin(1) is 90° and the value of arctan√3 is 60°
Evaluating trigonometric functionsFrom the question, we are to determine the values of arcsin(1) and arctan√3. That is, sin⁻¹ (1) and tan⁻¹(√3)
NOTE:
If sin x° = y, then sin⁻¹ y = x°
If cos x° = y, then cos⁻¹ y = x°
If tan x° = y, then tan⁻¹ y = x°
From the trigonometry table of values, we have that
sin 90° = 1
∴ sin⁻¹ (1) = 90°
arcsin(1) = 90°
Alos, from the trigonometry table of values, we have that
tan 60° = √3
∴ tan⁻¹(√3) = 60°
arctan√3 = 60°
Hence, the value of arcsin(1) is 90° and the value of arctan√3 is 60°
Learn more on Evaluating trigonometric functions here: https://brainly.com/question/2254250
SPJ1
Using the table below, what is Tyson's take-home pay?
Tyson
Esmerelda Xavier
Annual Salary
$42,500
$60,000
$32,000
Federal Income Tax
$8500
$12,000
$6400
FICA
$3251
$4590
$2448
Disability Insurance
$2125
$3000
$1600
Life Insurance
$100
$150
$75
OA. $40,260
OB. $21,437
OC. $28,524
OD. $32,000
SUBMIT
The take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.
What is a take-home pay?
This means the net income that an individual takes home.
Take-home pay = Annual Salary - Federal Income Tax - FICA - Disability Insurance - Life Insurance
Take-home pay = $42,500 - $8,500 - $3,251 - $2,125 - $$100
Take-home pay = $28,524
Thus, the take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.
Therefore, the Option C is correct.
Read more about take-home pay
brainly.com/question/957794
#SPJ1
There are 1560 students enrolling at Green Woods middle school. If 85% of the students ride the bus, how many do not ride the bus
Answer:
234 students
Step-by-step explanation:
% Don't ride the bus = 100% - % Ride the bus
% = 100% - 85%% = 15%Number of students who don't ride the bus :
1560 x 15%1560 x 3/2078 x 3234 studentswhat is the measure of MOP Angle MON is a straight angle and OP bisects MOQ
The measure of the angle MOP is 61° (Third option)
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Angle MON is a straight angle → ∠MON=180°
∠QON=58° (according to the graph)
OP bisects angle ∠MOQ, then OP divides angle ∠MOQ into two equal angles:
∠MOP=∠POQ=∠MOQ/2 (1)
∠MOQ+∠QON=∠MON
Replacing the known values in the equation above:
∠MOQ+58°=180°
Solving for ∠MOQ: Subtracting 58° on both sides of the equation
∠MOQ+58°-58°=180°-58°
∠MOQ=122°
Replacing ∠MOQ by 122° in the equation (1)
(1) ∠MOP=∠POQ=122°/2
∠MOP=∠POQ=61°
To know more about an angle follow
https://brainly.com/question/25770607
#SPJ1
Which of the following systems is equivalent to the given system?
1/2x - 1/5y = 2
x+ 2/3 y = 5
A: 5 x - 2 y = 20 and 3 x + 2 y = 5
B: 5 x - 2 y = 20 and 3 x + 2 y = 15
C: 2 x - 2 y = 20 and 3 x + 2 y = 5
Answer:
Option B is correct.
Explanation:
1st EquationRemove the denominators:
[tex]\sf \rightarrow \dfrac{1}{2}x - \dfrac{1}{5} y = 2[/tex]
make the denominator's same
[tex]\sf \rightarrow \dfrac{5}{10}x - \dfrac{2}{10} y = 2[/tex]
Join the fraction's:
[tex]\sf \rightarrow \dfrac{5x-2y}{10} = 2[/tex]
Multiply both sides by 10
[tex]\sf \rightarrow {5x-2y} = 20[/tex]
2nd EquationRemove the denominators:
[tex]\rightarrow \sf x + \dfrac{2}{3}y =5[/tex]
make the denominator's same
[tex]\rightarrow \sf \dfrac{3x}{3} + \dfrac{2}{3}y =5[/tex]
Join the fraction's:
[tex]\rightarrow \sf \dfrac{3x+2y}{3} =5[/tex]
Multiply both sides by 3
[tex]\rightarrow \sf 3x+2y} =15[/tex]
Answer:
B) 5x - 2y = 20 and 3x + 2y = 15
Step-by-step explanation:
Rewrite both equations in standard form:
Equation 1
[tex]\dfrac{1}{2}x-\dfrac{1}{5}y=2[/tex]
Multiply both sides by 10:
[tex]\implies \dfrac{1 \cdot 10}{2}x-\dfrac{1 \cdot 10}{5}y=2 \cdot 10[/tex]
[tex]\implies \dfrac{10}{2}x-\dfrac{10}{5}y=20[/tex]
[tex]\implies 5x-2y=20[/tex]
Equation 2
[tex]x+\dfrac{2}{3}y=5[/tex]
Multiply both sides by 3:
[tex]\implies x \cdot 3+\dfrac{2 \cdot 3}{3}y=5 \cdot 3[/tex]
[tex]\implies 3x+2y=15[/tex]
Therefore, the equivalent system is:
5x - 2y = 20 and 3x + 2y = 15
If johns meal provided 50 grams of fat and 30 grams of protein how many calories in total did he consume
Answer: 570 total calories
Step-by-step explanation:
450 calories in 50 grams of fat
120 calories in 30 grams of protein
120 + 450= 570
F(x,y) = 4 ; r is the region enclosed by the petal of a rose curve r = sin*2theta)
The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We know the area in the polar coordinates is given by:
[tex]\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta[/tex]
We have r = sin2θ
Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.
Put this value in the above integration and limit 0 to π/2
[tex]\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta[/tex]
After solving the above integration, we get:
[tex]\rm A = \dfrac{\pi}{8}[/tex]
Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units
Learn more about integration here:
brainly.com/question/18125359
#SPJ4
Simplify the expression. Write your answer as a power.
(-6.4)⁸
(-6.4)⁶
The simplified expression is
The expression [tex]\frac{(-6.4)^8}{(-6.4)^6}[/tex] is an exponential expression and the value of the expression is 40.96
How to evaluate the expression?The expression is given as:
[tex]\frac{(-6.4)^8}{(-6.4)^6}[/tex]
Expand the expression by applying the law of indices
[tex]\frac{(-6.4)^8}{(-6.4)^6} = (-6.4)^{8-6}[/tex]
Evaluate the difference
[tex]\frac{(-6.4)^8}{(-6.4)^6} = (-6.4)^2[/tex]
Evaluate the exponent
[tex]\frac{(-6.4)^8}{(-6.4)^6} = 40.96[/tex]
Hence, the value of the expression is 40.96
Read more about exponential expressions at:
https://brainly.com/question/11464095
#SPJ1
5. Find all the two-digit numbers which are increased by 75% when their digits are reversed.
Answer:
Let a two digit number be, 10x + y.
75% of the number is,
= 75 % of (10 x + y)
= 75/100 × (10x+y)
= 3/4 × ( 10x + y)
According to the question, When increased by 75%, The digits must be reversed.
So,
(10 x + y) + 3/4 ( 10x + y) = 10y + x
4 (10x + y) + 3 ( 10x + y) = 4 ( 10y + x)
7(10x + y) = 4(10y + x)
70x + 7y = 40y + 4x
70x - 4x = 40 y - 7y
66x = 33y
2x = y
So,
x = 1, y = 2, 10x + y = 12
x = 2, y = 4, 10x + y = 24
x = 3, y = 6, 10x + y = 36
x = 4 , y = 8 , 10x + y = 48
x can't be 5, as y will be 10 ( y should be a single digit).
Therefore, 4 two digit numbers are possible.
Please answer fast and give expaination I will give brainliest
Answer:
Agree.
Step-by-step explanation:
1. (5^r)^t can be represented simply as 5^rt.
2. when r as negative integer, t as positive integer, rt is always a negative integer
3. when ever the indices rt is negative, the number 5^rt will be less than 1, thus cannot be a whole number for sure.
on a coordinate plane what is the distance between the point at (4,7) and the point (-4,7)
Answer: 8 units
Step-by-step explanation:
We will use the distance formula.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(-4-4)^2 +(7-7)^2}[/tex]
[tex]\displaystyle d=\sqrt{(-8)^2 +(0)^2}[/tex]
[tex]\displaystyle d=\sqrt{64[/tex]
d = 8
Please answer and give full explanation.
Simplify 6 plus the square root of negative 80.
The given statement can be written as:
6+√-80
To solve √-80 re-write -80 as -1 * 80
Now √-80 =√-1 * 80
Now we can write it as:
6+ √-1 * √80
We know that √-1 = i
Thus it becomes:
6+ i√80
Now find the square root of 80
80 does not have a perfect square root
Its square root can be found as 80 = 4*4*5
Then,
6+i√4*4*5
Notice that 4 makes a pair.. So we will write it outside the square root
6+1*4√5
We will write it as:
6+4i√5
Thus the correct option is 6 plus 4 i times the square root of 5....
can someone help me with this?
Thank you!
An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of three different flavors, one topping, and one cone are possible?
Answer:
Step-by-step explanation:
1440.
Which of the following is a
composite number?
Enter a, b, c, d, or e.
a. 29
b. 37
C. 57
d. 41
e. 31
Answer:
C
Step-by-step explanation:
57 is a composite number