Answer:
10
Step-by-step explanation:
Given the following
<X = 60°
I = 90°
IX = 5(Adjacent)
Required
SX (HYPOTENUSE
According to SOH CAH TOA
Cos theta = adj/hyp
Cos 60 = 5/SX
SX = 5/cos 60
SX = 5/(1/2).
SX =5×2
SX = 10
Find the number of solutions of the equation 6x^2+6x+3=0 by using the discriminant
Answer:
No real roots
Step-by-step explanation:
Given
[tex]6x^2 + 6x + 3 = 0[/tex]
Required
The number of solution
The discriminant (d) for [tex]ax^2 + bx + c = 0[/tex] is:
[tex]d = b^2 - 4ac[/tex]
So, we have:
[tex]d = 6^2 - 4*6*3[/tex]
[tex]d = 36 - 72[/tex]
[tex]d = -36[/tex]
Since [tex]d <0[/tex], then the equation has no real roots
Find the measures of the angles marked x and y Remember that ( 1 ) the sum of the measures of the angles of a triangle is 180 ° and (2) supplementary angles have a sum of 180 °
Answer:
gonna guess you're asked to find the measures of two interior angles given at least one exterior angle and one interior angle.
Two angles on the same line are SUPPLEMENTARY. Let's say your exterior angle is 95 degrees. That makes the corresponding interior angle 180 - 95 = 85 degrees. If your other interior angle is 79 degrees, then your last interior angle is 180 - (85 + 79) = 16 degrees.
The measure of x and y is -
x = 40°
y = 50°
We have a figure shown in the image.
We have to determine the measure of angle x and angle y.
What is the relation between the sides of any triangle ?The relation states that the sum of the any two sides of a triangle is always greater than the third side. Mathematically -
a + b > c
According to the question -
y + (2x + 50)° = 180° [supplementary angles have a sum of 180°]
2x + y = 130°
y = 130° - 2x
Therefore, in the right - angled triangle -
x + 130° - 2x + 90° = 180° [the sum of angles of a Δ = 180°]
- x + 220° = 180°
x = 220° - 180°
x = 40°
and
y = 130 - 2 x 40 = 50°
Hence, the measure of x and y is -
x = 40°
y = 50°
To solve more questions on finding unknown angles, visit the link below-
https://brainly.com/question/28010527
#SPJ2
John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the table measure diagonally?
Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
[tex]32^{2}[/tex] + [tex]26^{2}[/tex] = [tex]c^{2}[/tex]
1024 + 676 = [tex]c^{2}[/tex]
1700 = [tex]c^{2}[/tex]
The square root of 1700 is (rounded to the hundreth's place) = 41.23
Answer:
c41
Step-by-step explanation:
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answer:
Step-by-step explanation:
you have two disks, and one rectangle
area of the disk = π [tex]r^{2}[/tex]
47 π x 2 = 94 π (for the two disks....
rectangle area = L x W
width = 14
Length = 2*π*r = 14π
area = 14*14π = 196 π
total = 196 π + 94 π = 290 π
Answer:
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for the surface area of a cylinder is this :
[tex]A = 2\pi rh+2\pi r^{2}[/tex]
"R" is 7, and "h" is 14. Knowing these values, let's solve.
[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest! :)
Find the length of DF will give brainliest to the right answer
Answer:
3.75
Step-by-step explanation:
DF = 6/24 × 15 = 3.75
________________
What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)
Answer:
i honestly dk but need help
Step-by-step explanation:
ls
Answer:
2m+2n+7
Step-by-step explanation:
See image below:)
What are the coordinates of the point plotted on this graph?
Answer:
C
Step-by-step explanation:
Correct answer
HELP DUE SOON 20 POINTS
Answer:
x = 10
Step-by-step explanation:
m∠KNL = 90
10x - 10 = 90
10x = 100
x = 10
What is the measure of angle AIN?
O
A. 95°
B. 125°
C. 55
o
O
D. 30°
Answer:
30
Step-by-step explanation:
AIN is a vertical angle to FIL, which means they ae equal
FIL = 30 so AIN = 30
what are the prime factors of the greatest 4 digit number?
Answer:
The prime factors of the greatest 4 digit number are 3, 11 and 101.
Step-by-step explanation:
Hope it helps
7) Point P is located at (4,8) on a coordinate plane. Point P will be relfected over y = x. What will bee
the coordiantes of the image of point P?
A. (28,4)
B. 24,8)
C. (4,28)
D. (8,4)
Please help please and thanks
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
HELP! Please!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
it will take 100,000 more days.
you can do this by dividing 10 and 1,000,000
Which rule explains why these triangles are congruent?
The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.
Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
I need the steps if possible:)
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
Help find area of this
Answer:
120 sq feet
Step-by-step explanation:
1. 8 x 10 = 80
2. 8 x 5 = 40
3. 80 + 40 = 120 ft2 (sq feet)
Write a statement that indicates that the triangles in each pair are congruent. NO LINKS!!
Answer:
23
UVW congruent to WFG
and
24
FHG congruent to LMN
Answer:
23 ) UVW is congruent to WGF
24 ) FHG is congruent to LMN
Find the difference,
(20m+ 3) - (7m - 5)
A. 27m - 2
B. 13m +8
C. 27m +8
D. 13m - 2
SUBMU
Answer:
B 13m+8
Step-by-step explanation:
(20m+3) - (7m-5)
20m+3-7m+5
13m+8
what is 5a +14=3(a +2)
Answer:
a=-4
Step-by-step explanation:
See image below:)
if the given ordered pair equal then find value of x and y
(3x+5)=(x+2)
and (4y+7)= (y+3)
Answer:
3x+5 =x+2
3x-x=2-5
2x= –3
x=-3/2
4y+7=y+3
4y–y =3-7
3y=–4
y= —4/3
Delia bought 32 fluid ounces of fruit juice. How many gallons of juice did she buy?
A. 1
B. 0.5
C. 0.25
D. 0.2
Answer:
the answer is C. 0.25.
Step-by-step explanation:
simply converting the fluid oz into gallons.
Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Kyle, Carol, and Adam are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
1 / 1365
Step-by-step explanation:
Given that :
Number of employees to choose from = 15
Number of employees to be chosen = 4
Probability of choosing You, Kyle, Carol and Adam
Recall ;
P(A) = number of required outcome / Total possible outcomes
Number of required outcome = 4C4
Total possible outcomes = 15C4
nCr = n! ÷ (n-r)!r!
Using calculator to save computation time :
15C4 = 1365
4C4 = 1
P(choosing you, Kyle, Carol and Adam) :
1 / 1365
24 rail cars is what % of 40 rail cars
A local dealership provides you with statistics that show the number of each color car they sold last year along with the percentages that those sales represented relative to their inventory for that color car.
For each color, how many cars did the dealership have in its inventory before they started selling them?
Answer:
red: 20
white: 30
black: 25
silver: 40
other: 12
Step-by-step explanation:
To find the original number of cars per color in the inventory, divide the sold number of cars by the percent of the inventory.
red: 20 = 10/0.5
white: 30 = 21/0.7
black: 25 = 19/0.76
silver: 40 = 10/0.25
other: 12 = 4/0.33
The stock of Company A gained 6% today to $87.45. What was the opening price of the stock in the beginning of the day?
25 POINTS!!!!!!!!!!!!!!!!
Answer:
$82.50
Step-by-step explanation:
gainsd 6%=106%
$87.45×100%/106%=$82.50
Hope can help!!!
Answer:
$82.50
Step-by-step explanation:
gained6%=100%+6%
100%+6%=$87.45
100%=?
solution :
$87.45×100/106=$82.50
Which completely describes the polygon ? equilateral equiangular regular congruent
Explanation:
Any regular polygon is both equilateral and equiangular.
Equilateral = all sides are equal
Equiangular = all angles are equal
Find the value of the expression (4x – 12)+(1/3xy – 5) when x = 6 and y=2
Answer:
11
Step-by-step explanation:
GIVEN
x = 6
y = 2
STEPS
(4x - 12) + (1/3xy - 5 )
(4(6) - 12 ) + ( 1/3(6x2) - 5)
(24 - 12) + ( 1/3(12) - 5)
12 + (4 - 5)
12 + (-1)
(12 - 1)
11
Calculate half yearly payment required for each five year intervals
Answer:
bro im not going to download that pdf
Step-by-step explanation: