Answer:
The equation to find [tex]x[/tex] is [tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex].
The degree measure of each angle is: [tex]m\angle J = 113^{\circ}[/tex], [tex]m\angle K = 44^{\circ}[/tex] and [tex]m\angle L = 23^{\circ}[/tex].
Step-by-step explanation:
From Euclidean Geometry we remember that the sum of internal angles in triangles equals 180°. If we know that [tex]m\angle J = (5\cdot x -2)^{\circ}[/tex], [tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex] and [tex]m\angle L = x^{\circ}[/tex], then we construct the following equation of the triangle JKL in function of [tex]x[/tex]:
[tex]m\angle J + m\angle K + m\angle L = 180^{\circ}[/tex] (1)
[tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex]
[tex]8\cdot x -4 = 180^{\circ}[/tex]
[tex]8\cdot x = 184[/tex]
[tex]x = 23[/tex]
Finally, the measure of each angle is, respectively:
[tex]m\angle J = (5\cdot x -2)^{\circ}[/tex]
[tex]m\angle J = 113^{\circ}[/tex]
[tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex]
[tex]m\angle K = 44^{\circ}[/tex]
[tex]m\angle L = x^{\circ}[/tex]
[tex]m\angle L = 23^{\circ}[/tex]
if you’re standing on the street 1,300 feet from the bottom of the building, you have to look up at a 23 degree angle to see the top. How tall is the building ? explain or show your reasoning.
Answer:
551.82feet tall
Step-by-step explanation:
WE are given the following from the question;
Distance of me from the bottom of the building = 1300feet (adjacent)
Angle of elevation = 23 degrees
Required
Height (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 23 = H/1300
H = 1300tan23
H = 1300(0.4245)
H = 551.82feet
Hence the building is 551.82feet tall
Micheal and his family are at a basketball game. Micheal decides that he is buying. He buys pretzels and sodas. The pretzels cost $3 and the sodas cost $2. His purchase of 5 items totaled $12. How many pretzels and how many sodas did Michael purchase?
What is the volume of the cylinder when the radius is 10 and the height is 15
Answer:
V = π r^2 h = π · 10^2 · 15 ≈ 4712.38898
Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
What is the measure of angle Q?
Answer:
hi
Step-by-step explanation:
x⁰+(x+90)⁰+(x-18)⁰=180⁰
3x+72=180
3x=180-72
3x=108
x=36
Q is equal to x+90=36+90=126
For cheking answer:
R is 36
Q is 126
P is 18
36⁰+126⁰+18⁰=180⁰
hope it helps
have a nice day
Answer:
[tex]x=96[/tex]
Step-by-step explanation:
[tex]360=x+\left(x+90\right)+\left(x-18\right)[/tex]
Step 1: Simplify both sides of the equation.
[tex]360=x+x+90+x-18[/tex]
[tex]360=(x+x+x)+(90+-18)[/tex] (Combine Like Terms)
[tex]360=3x+72[/tex]
Step 2: Flip the equation.
[tex]3x+72=360[/tex]
Step 3: Subtract 72 from both sides.
[tex]3x+72-72=360-72[/tex]
[tex]3x=288[/tex]
Step 4: Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{28}{3}[/tex]
[tex]x=96[/tex]
Hope this helped! :)
A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs $90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre of corn. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. (Let x and y be the numbers of acres of potatoes and corn, respectively.)
Answer:
90x+ 50 y ≤ $40,000------ A
30x+ 80y ≤ $ 30,000------- B
x + y ≤ 500 --- C
Step-by-step explanation:
Let x and y be the numbers of acres of potatoes and corn, respectively.
Then according to the given conditions
90x+ 50 y ≤ $40,000------ A
30x+ 80y ≤ $ 30,000------- B
x + y ≤ 500 --- C
where both x and y equal to or greater than zero and cannot take a value less than zero.
x + y ≤ 500 --- C
gives us an idea that the total arable land is less or equal to 500 acres.
90x+ 50 y ≤ $40,000------ A
tells us that the total cost of planting potatoes and corn is less or equal to $ 40,000
30x+ 80y ≤ $ 30,000------- B
tells us that the total cost of fertilizers for potatoes and corn is less or equal to $ 30,000
In each of these x and y cannot have negative values or less than zero.
Correct Answer Gets Brainleist + 15 points. (Please Help..)
Answer:
You need to divide by the cost of children and adults by their per cost to total
Ana took her broken bicycle to the repair shop to have the frame starightened. The repairman told her there was a 30% chance that he wouldn't be able to fix it. What is the probability that he will be able to fix it?
please help!!
How do you get the answer?
Answer:
Where's the picture?
Seth wants to buy a helmet as well. A new helmet costs
$46.50. Seth thinks he can work 6 hours on Saturday to
earn enough money to buy the helmet. Is he correct?
Giving brainlist to whoever answers
Answer:
132.7
Step-by-step explanation:
Find the are of the blue shaded region.
XTRA POINTS!!!
Plus brainliest!!!
No links or anything i will report you!!!!!
PLZ!!!!
Answer:
25π
Step-by-step explanation:
i hope u hav a gud day ^_^
Answer:
area = 73.37 cm²
Step-by-step explanation:
area of circle:
A = π5² = 78.5 cm²
area of 80° segment:
(80/360)(78.5) = 17.44 cm²
area of isosceles triangle w/ 5 cm legs and 80° angle:
sin 40° = b/5
0.6428 = b/5
b = 3.214
base = 2(3.21) = 6.43 (we only figured for one-half of the base)
cos 40° = h/5
0.7660 = h/5
height = 3.83
A = 1/2(6.43)(3.83) = 12.31 cm²
area of unshaded part:
17.44 - 12.31 = 5.13 cm²
area of total shaded part:
78.5 - 5.13 = 73.37 cm²
r= 17 cm
Please help I’ll mark Brainlest
Answer:
1. r = 2.5 mm
2. r = 12ft
3. d = 34 cm
for 4-6 you use 2(pi) r
4. 25.1 ft
5. 40.8 cm
6. 22 mi
Answer is below. Look at the explanation in order to understand my answer.
To find the diameter, you'll have to get the radius in order to solve the diameter.
Since you said r = 17cm, we should be solving for diameter.
The formula is d = 2r
R will represent the radius.
You'll multiply the 2 by the radius.
Like i've said, R will represent the radius. The radius is 17.
With that being said, we can do the math.
The formula will be: d = 2r → d = 2 × 17
2 times 17 is 34.
The diameter would be 34.
Let me know of question or concerns about my answer.
solve for c
-38+-75c≥37
Leah is mixing peanut butter candy (p) that sells for $3.60 per pound with chocolate candy (c) that sells for $2.00 per pound. She needs 50 pounds of the mixture to sell in her store for $2.16 per pound. Which system of linear equations can Leah use to determine the number of pounds of each candy to use?
Answer:
45 pounds of the chocolate candy and 5 pounds of the peanut butter candy.
Step-by-step explanation:
let's define the variables:
p = pounds of peanut butter candy she uses
c = pounds of chocolate candy she uses.
We know that she wants to have a total of 50 pounds of the mixture, then we will have that:
p + c = 50
We also want that these 50 pounds sell for $2.16 per pound.
Then we must have that the price for the candies in the mixture must be equal to the desired price, we can write this as:
p*$3.60 + c*$2.00 = (50 )*($2.16 )
Then we have the system of equations:
p + c = 50
p*$3.60 + c*$2.00 = (50)*($2.16) = $108
To solve this, we first need to isolate one of the variables in one of the equations. I will isolate p in the first equation to get:
p = 50 - c
Now we can replace this in the other equation to get:
(50 - c)*$3.60 + c*$2.00 = $108
Now we can solve this for c.
$180 - c*$3.60 + c*$2.00 = $108
$180 - c*$1.60 = $108
$180 - $108 = c*$1.60
$72 = c*$1.60
$72/$1.60 = c = 45
This means that she should use 45 lb of the chocolate candy, and using the equation:
p + c = 50
p + 45 = 50
p = 50 - 45 = 5
p = 5
She should use 5 lb of the peanut butter candy.
If cos A= -4/5 and A is in the second quadrant, then cos 2A = ?
Answer:
i think its second pythagreom therom
Step-by-step explanation:
because
drag each one to the correct set
Can someone help me on this plzz thank you.
Answer:
zoom in
mark me as brainliest
PLEASE HELP! QUICKLY!!!
I’m not sure how to go about solving this. Could somebody help?
Answer:
2.83
Step-by-step explanation:
Can I have Brainliest?
Answer:
If you see the little square on the side maybe try to measure it and keep putting it on top and see how many of then till the top. (if you knwo what i mean )
Step-by-step explanation:
I am SUPER sorry if you get it wrong :(
Compare investing $1500 at 9% compounded monthly for 11 years with investing $1500 at 14% compounded monthly for 11 years.
Answer:
Final amount after 11 years = $4021.97
Step-by-step explanation:
We will use the formula to get the final amount after t years,
Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]
here a = Initial amount
r = Rate of interest
n = Number of compounding in a year
For Initial amount 'a' = $1500
r = 9%
t = 11 years
n = 12 [Compounded monthly]
F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]
= $4021.97
.
(07.06 MC)
Rocky needs at least $32 to buy an amplifying speaker. He already has $17. Which graph best represents all the possible dollar amounts that Rocky can save to buy an amplifying speaker? (5 points)
Number line graph with open circles on 0 and 15 and shading in between.
Number line graph with closed circles on 0 and 15 and shading in between.
Number line graph with closed circle on 15 and shading to the right.
Number line graph with open circle on 15 and shading to the right.
Number line with closed circle on 15 and shading to the right. That's because 32 - 17 = 15 and since you need at least 15 more dollars the circle would be closed and shading to the right since it's at least meaning 15 or more.
The answer is c i took the test a long time ago
Answer:
C. Number line graph with closed circle on 15 and shading to the right.
Step-by-step explanation:
i took the test
Determine if the side lengths listed create a right triangle, acute triangle, obtuse triangle, or do not make a triangle. 3, 9, 10 Determina si las longitudes de los lados enumeradas crean un triángulo rectángulo, un triángulo agudo, un triángulo obtuso o no forman un triángulo. 3, 9, 10 * 1 point right acute obtuse not a triangle
Answer:
Obtuse triangle
Step-by-step explanation:
Given the side lengths :
3, 9, 10
Let :
a = 3 ; b = 9 ; c = 10 (longest side)
If a² + b² = c² (right angle)
If a² + b² > c² (acute angle)
If a² + b² < c² (obtuse angle)
a² + b²
3² + 9²
9 + 81 = 90
c² = 10² = 100
90 < 100
Hence,
a² + b² < c² (then we have an obtuse triangle)
Can someone help me on this plzzz and thank u
Answer:
x = 23.4
Step-by-step explanation:
[tex]5 \cdot (x + 10) = 167\\5x + 50 = 167\\5x = 117\\x = 23.4[/tex]
Rahim was asked to make p the subject of this formula
Q = -7
He started his answer as follows
3Q = p - 21 hence p =
Complete Rahim's final answer.
Answer:
P =3Q +21
Step-by-step explanation:
Given: Rahim was asked to make p the subject of this formula
Q = p/3 - 7
He started his answer as follows
3Q = p - 21 hence p =
To Find, Complete Rahim's final answer.
Solution:
Q = p/3 - 7
Multiply both sides by 3
3Q = 3(p/3 - 7)
3Q = 3 × p/3 - 3 × 7
3Q = p - 21
Adding 21 both sides
3Q + 21 = p -21 +21
3Q + 21 = p
interchange sides
p = 3Q + 21
hence p =3Q +21
is ib in canada hard?
Answer:
yes because Canada is american country
if y=3x - 6 and x=7, then y = ??
Answer:
y=15
Step-by-step explanation:
y=21 - 6
y = 15
hope this helped!
Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric consumption?
Answer:
30
Step-by-step explanation:
Subtract the 1023 reading from the 1053 one:
1053
-1023
---------
30
Her electric consumption was 30.
y = -x + 1 | what is the slope and y-intercept? step by step please.
it's in slope intercept form,, y=mx+b
m is slope
b is y-int
slope: -1
y-int: 1
Help please I don’t understand it
Answer:
8
Step-by-step explanation:
4+4=8
help please urgentttt
In which two sports are the players’ height distributions most alike? Explain your reasoning.