Step-by-step explanation:
since right angle triangle,then:
180-(90+35)=B=55
use cosB=opposite/hypotenuse
cos55=x/12
x=cos55x12
x=6.88
9514 1404 393
Answer:
9.8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship involving the adjacent side and the hypotenuse:
Cos = Adjacent/Hypotenuse
cos(35°) = x/12
Multiplying by 12 gives x:
x = 12·cos(35°) = 12×0.81215
x = 9.8
The cost to enter the fair is $9. Rides cost $5 each. Write the equation to represent this problem.
Class comments
A 13 sided figure has how many
total degrees in its interior angles?
9514 1404 393
Answer:
1980°
Step-by-step explanation:
The formula for the sum of interior angles of an n-gon is ...
angle sum = 180°(n -2)
For n=13, the angle sum is ...
angle sum = 180°(13 -2) = 180°×11
angle sum = 1980°
I NEED HELP ASAP!!!
Answer:
The first and second
Step-by-step explanation:
The first one is right 12/3=4
The second one is right 12*5=60
The third one is wrong 100-184=-84 not 84
Brittney attempted to order a set of numbers from least to greatest
-2.9 72/80 2.979 3 1/5 π
what does Brittney need to do to make the order correct?
She needs to convert all the numbers be be the same type ( fraction or decimal).
With the numbers she has it would be easiest to convert all the numbers to decimals.
72/80 = 0.9
3 1/5 = 3.3
Pi = 3.14
Now she can arrange the decimals in order:
-2.9, 0.9, 2.979, 3.14, 3.2
She needs to switch 3 1/5 and pi
Answer:
3 1/5 is tha one
Step-by-step explanation:
c + d - ___ = c
i dont really get this
Answer:
c + d - d = c
Step-by-step explanation:
c = c
d - d = 0
c + 0 = c
c = c
Amanda is choosing between two cells phones plans plan a cost 15+0.08 per minute plan B cost 35 for unlimited calling X represent the number of minutes calling the time and why represents the total cost of the calling plan which system of equations could represent The scenario
Answer:
y = 15 + 0.08x
y = $35
Step-by-step explanation:
Given :
Plan A:
Flat rate = $15
Cost per minute = 0.08
Let x = number of minutes
Total. Cost = flat fee + (per minute charge * number of minutes)
y = 15 + 0.08x
Plan B:
$35 unlimited calling
Total cost, yregardless of minutes used :
y = $35
Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7
Answer:
The solution is x = -2, y = -3
Step-by-step explanation:
Let's start with the equation 3x + y = -9
Substitute the y for 5x+7 seen in the second equation
Now you have 3x + (5x+7) = -9
Lets solve:
Let's add the x's
Now we have 8x + 7 = -9
Substracy seven from each side
Now we have 8x = -16
Now let's divide 8 on each side
Now we have x = -2
Now lets plug in -2 to the second equation
The second equation is y = 5x+7
When we plug in -2 we get y=5(-2)+7
We multiply
We now have y = -10+7
Add
y = -3
The solution is x = -2, y = -3
Solve the following answer
Answer:
18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3x + 2y + 4
x = 2
y = 4
Step 2: Evaluate
Substitute: 3(2) + 2(4) + 4Multiply: 6 + 8 + 4Add: 14 + 4Add: 18Answer:
18
Step-by-step explanation:
3x + 2y + 4 can be broken down like this:
3x = 3 • 2 = 6
2y = 2 • 4 = 8
So, 6 + 8 + 4 = 18.
Hope this helps.
how do you solve it tho
Answer:
solve what
Step-by-step explanation:
there's no question
Answer:
you forgot the picture lol
M is a multiple of 26. Which of the following cannot be true?
A. M is odd
B. M is a multiple of 3
C. M is 26
D. M is zero
i dont understand this question
Cara has driven one-fifth of the total distance, d, to her destination.
Which statement explains why both 1/5d and 0.2d can find the distance she has driven?
Multiplying by 1/5 is the same as multiplying by 20%.
Multiplying by 1/5 is the same as multiplying by 2%.
The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.
The expressions are not equivalent.
Answer:
I dont even know man I wish I knew too
what would 5,445 time 5,554 be
Answer:
30241530
Step-by-step explanation:
please help and show work if you can
Answer:
14. x = 6, y = 8
15. x = 5, y = 7
16. x = 7, y = 10
Step-by-step explanation:
For a parallelogram, the length across the point of intersection of its diagonals are equal.
So that;
14. PT = TR
QT = TS
So that,
2x = y + 4
2x - y = 4 ...........1
x + 2 = y
x - y = -2 ............. 2
subtract equation 2 from 1,
x = 6
substitute the value of x in equation 1,
2 x 6 - y = 4
y = 12 - 4
= 8
x = 6, y = 8
15. PT = TR
QT = TS
x + 2 = y
x - y = -2 .......... 1
2x = y + 3
2x - y = 3 ......... 2
Subtract equation 1 from 2
x = 5
substitute the value of x in equation 1
5 - y = -2
5 + 2 = y
y = 7
x = 5, y = 7
16. PT = TR
QT = TS
y = x + 3
x - y = -3 ......... 1
2y = 3x -1
3x - 2y = 1 ......... 2
Multiply equation 1 by 2 to have;
2x - 2y = -6 ....... 3
subtract equation 3 from 2
x = 7
substitute the value of x in equation 1
7 - y = -3
-y = -7 -3
-y = -10
multiply through by minus
y = 10
x = 7, y = 10
What is the value of this expression when g=-3.5?
8 - 12g-51
A.
20
B.
10
O
C. 6
OD.
-4
Answer:
The value of the expression 8 - I2g - 5I is -4 ⇒ D
Step-by-step explanation:
The absolute value always gives a positive value IaI = a and I-aI = a
Let us solve the question
∵ The expression is 8 - I2g - 5I
∵ The value of g is g = -3.5
→ To find the value of the expression substitute g by -3.5
∵ 8 - I2g - 5I = 8 - I2(-3.5) - 5I
∴ 8 - I2g - 5I = 8 - I-7 - 5I
∴ 8 - I2g - 5I = 8 - I-12I
→ By using the rule above
∵ I-12I = 12
∴ 8 - I2g - 5I = 8 - 12
∴ 8 - I2g - 5I = -4
∴ The value of the expression 8 - I2g - 5I is -4
Solve for Angle Measures
What is the value of x in the figure?
X =
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
a blank is a group of data points that are close together?
Answer:
Clustering
Step-by-step explanation:
Data groups that are grouped closely together
ABCD is a rectangle with sides 6 cm and
8 cm. If its diagonals cross at X, the length
of AX is
Answer:
The length of AX is 5 cm
Step-by-step explanation:
Diagonal of a Rectangle
Given a rectangle of dimensions W by L (as shown in the image below), the diagonal D is the segment that joins two opposite corners of the rectangle.
The diagonals cross at the center of the rectangle in point X, thus the length of AX is half the length of the diagonal.
Note the diagonal is the hypotenuse of a right triangle with legs W and L, thus:
[tex]D^2=W^2+L^2[/tex]
[tex]D^2=6^2+8^2[/tex]
[tex]D^2=36+64=100[/tex]
[tex]D=\sqrt{100}=10[/tex]
The length of the diagonal is 10 cm, thus the required distance is AX=10/2 = 5 cm.
The length of AX is 5 cm
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequality to represent this situation. *
Answer:
Total number of peanuts =n
He shared with 5 people = 6 people
Each person had at least 18
n/6>=18
Step-by-step explanation:
When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.
Answer:
18 ≤ n ÷ 6
Step-by-step explanation:
My text book says Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. The inequality 18 ≤ n ÷ 6 represents this situation. Graph the solution of this inequality
what is 5x + 2 - 4x +3
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answer:
d is the answer
Step-by-step explanation:
is 2 greater than negative 2?
Answer:
yes
Step-by-step explanation:
(-81) + 70=
Uhhhh answer someone-
Answer:
-11
Step-by-step explanation:
PLEASE SOMONE HELP ME PLEASE I NEED HELP I BEG OF YOU
Answer:
48 feet
Step-by-step explanation:
So first find the amount of fence they would need in terms of x, which would be (x - 2) + (3x - 1) + (5x + 8) + (3x - 1) + (x - 2). Then, you know these add up to 106 so you get the equation:
[tex]x-2+3x-1+5x+8+3x-1+x-2 = 106[/tex]
Now, you just have to solve.
First, combine like terms
[tex]13x + 2 = 106[/tex]
Then, subtract 2 from both sides
[tex]13x = 104[/tex]
Next, divide both sides by 13.
[tex]x = 8[/tex]
The last step is to find the length of 5x + 8 by substituting x = 8 in
[tex]5*8+8=40+8=48[/tex]
Select the correct answer.
In which table does y vary directly with x?
Answer:
Option C.
Step-by-step explanation:
y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as
y = 26x
A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 164 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
Carlos lives 5 3/8 blocks from a restaurant. The ball field is 7 1 /4 blocks away in the same direction. Carlos plans to go to the restaurant to eat, and then go to the ball field. After he eats, how much farther will he have to walk to get to the ball field?
Answer:
[tex]\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex]
Step-by-step explanation:
Distance to the restaurant from Carlos is [tex]5\dfrac{3}{8}=\dfrac{43}{8}\ \text{blocks}[/tex]
Distance of the ball field from Carlos' home is [tex]7\dfrac{1}{4}=\dfrac{29}{4}\ \text{blocks}[/tex]
He first goes to the restaurant so he covers a distance of [tex]\dfrac{43}{8}\ \text{blocks}[/tex].
Now the distance from the restaurant to the ball field is
[tex]\dfrac{29}{4}-\dfrac{43}{8}\\ =\dfrac{58-43}{8}\\ =\dfrac{15}{8}=1\dfrac{7}{8}\ \text{blocks}[/tex].
So, Carlos would have to walk [tex]1\dfrac{7}{8}\ \text{blocks}[/tex] farther to get to the ball field.
Plz help u will get branliest!