Answers
Answer:
x = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite/ hypotenuse
sin 30 = 5/x
Multiply each side by x
x sin 30 = 5
Divide by sin 30
x = 5/sin 30
x = 10
Answer:
Step-by-step explanation:
in the given triangle . one angle is 90 degree and other angle = 30
therefore third angle = 180 - 120 ( angle sum property of a triangle)
third angle = 60 degree
sin 30 = 5 / x (1)
cos 30 =third side /x (2)
from 1 * 2 we get ,
SIN 30 * COS 30 = 5/X * THIRD SIDE / X
1/2 *[tex]\sqrt{3}[/tex]/2 = 5 * THIRD SIDE / X^2
[tex]\sqrt{3}[/tex] * X^2/10 = THIRD SIDE
BY APPLYING PYTHAGORUS THEOREM
X^2 = 5^2 + [ [tex]\sqrt{3}[/tex] * X^2/10]^2
X^2 = 25 + 3x^4/100
x = square root of 25 + 3x^4/100 = 5+[tex]\sqrt{3}[/tex]x^2/10
x= 5+ [tex]\sqrt{3}[/tex] * x^2/10
Related Questions
7. The largest of the Great Pyramids in Egypt was built with a square base,
having edges that measured 754 feet and a height of 481 feet. Today, after
years of erosion, the base edges are 745 feet and its height is 471 feet. To the
nearest cubic foot, find the difference between the original and current
volumes of the pyramids.
Please show work
Answers
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}\times 568516\times 481[/tex]
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = [tex]\frac{1}{3}(555025)(471)[/tex]
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gold, black, and green. So that it remains recognizable, he doesn't want to color any two triangles the same color if they share a side. How many different ways can he color the triforce? (Two colorings that differ by rotation are considered distinct.)
Answers
Answer:
.
Step-by-step explanation:
.
-6p (p4- 8) what’s the answer ?
Answers
Answer:
-6p^5+48p
Step-by-step explanation:
-6p (p^4- 8)= -6p^5+48p
Solution,
-6p(p^4-8)
= -6p^5+48p
Hope it helps
good luck on your assignment
13. Find the measure of ZABC. Show your work.
Answers
Answer:
47°
Step-by-step explanation:
In the picture attached, the problem is shown.
When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:
∠ABC = 1/2*(arc DE - arc AC)
Replacing with data from the picture:
∠ABC = 1/2*(142° - 48°)
∠ABC = 47°
Solve for x. x/7=-3
-21
-10
4
21
Answers
Answer:
D 21
Step-by-step explanation: x/7 = 3
isolate x by multiplyig both sides by 7: (7)(x/7) = (3)(7)
x = 21
How do you translate "the sum of 5 and the product of a number times 3"?
Answers
Answer:
5+ 3x
Step-by-step explanation:
There are 5 red tiles and 5 blue tiles with the letter A in a bag. There are also 6 red tiles and 4 blue tiles with the letter B in the bag. What is the
probability that a randomly selected tile is blue or has the letter B?
Answers
Letter b= 10/20- 1/2
Either blue or b= 19/20
On a map of Braxton County, the library is located at (–3, –7). The hospital is located 5 units west of the library. What ordered pair represents the location of the hospital?
Answers
Answer:
(-8,-7)
Step-by-step explanation:
assuming that the top part of the y-axis is north and the bottom part is south
we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)
5
Select the correct answer.
Which financial term refers to a reduction in the price of a product in order to obtain a response from consumers?
ОА
loan
OB.
discount
OC.
interest
OD
investment
Answers
If you're given a discount it means an amount of money has been deducted from the original price of a product to attract you,the customer.
Answer:
Discount.
Explanation:
I took the test.
Please Vote Me Brainliest. Thank You.
PLS I NEED HELP
A circular field is set into a square with an 800 m side length. Estimate the field's area.
A square where the vertical distance is labeled 800 meters.
About 5,000 m2
About 50,000 m2
About 500,000 m2
About 5,000,000 m2
About 50,000,000 m2
Answers
Answer:
c = 500,000
This is 6 digit number with 5 zero's.
We just multiply the radius ^2 by pi
D = 800m R = 400
R^2 = 400 x 400 = 160000
A = 160000π = 502654.824574
We estimate from 160000 and just count the 0's on multiplication as long as the 10's don't change in that estimation.
we can show the workings as the counting loops under the 6 and 0's of 160000. = 5 units+ 1.
= 500,000 m^2
1 [- - - - -} = 500000
HELP PLS ASAP WILL MARK BRAINLIEST
Answers
Answer:
B. 4
Step-by-step explanation:
Since d=√[7-3]2+[8-8]2
What is the slope of a line PARALLEL to the graph?
es
A)-3
B)0
C)3
D)-1/3
Answers
Answer:
C) 3
explanation:
parallel lines never touch, they are the same slope with different y-intercepts.
Right here the slope is 3, which means the slope is going to be 3
As a rule, parallel lines will always have the same slope.
The || symbol represents "parallel".
So if the slope of a line is parallel to this graph, the line
must have a slope of 3 since this line has a slope of 3.
As a quick review, remember that slope describes how steep a line is.
It can be found using the ratio rise/run between
any two points that are on that line.
Use the net to calculate the surface area.all measurements are in 1 cm squared.
PLEASE HELP ME!!!
Answers
Answer:
0.999999032256
Step-by-step explanation:
James wants to build a wooden planter box for his garden with a volume of 100 cubic feet. If he constructed the planter with a height of 2 feet and a width of 5 feet, what should the length of the planter be, in feet?
Answers
Answer:
The length of the box is 10 feet.
Step-by-step explanation:
You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10
someone help plss- simplify the expression
Answers
Answer:
27 x^21
Step-by-step explanation:
(3x^7)^3
We know that (ab)^c = a^c b^c
3^3 x^7^3
27 x^7^3
We know that a^b^c = a^(b*c)
27 x^(7*3)
27 x^21
Which is the simplified rational expression
Please answer correctly my grade depends on it
Answers
Answer:
The answer is B.
Step-by-step explanation:
Since they all have a common denominator, you can group the numerators together. Therefore, we have...
[tex]\frac{(9x-5)+(3x-8)-(5x+3)}{4x-1}[/tex]
Now, we simply need to simplify.
[tex]=\frac{9x-5+3x-8-5x-3}{4x-1} =\frac{7x-16}{4x-1}[/tex]
This cannot be simplified further.
A pair of dice is rolled.
Find the probability of showing divisors of 12 on both dice.
Answers
Answer:
25/36
Step-by-step explanation:
The dicisors of 12 on a die are 1,2,3,4,6
So 5/6 per die
5/6*5/6 = 25/36
Using a = 20, b = 15
and c = 25, is triangle
ABC a right triangle?
Yes
No
Answers
Answer:
Yes
Step-by-step explanation:
400+225=625
625=25^2
Solve for x:
7 : x = 21 : 24
Answers
Answer:
8
Step-by-step explanation:
Multiply the right side by 3
3x = 24
x = 8
Answer:
x=8
Step-by-step explanation:
24 × 7 = 21 × X
168 = 21× X
168/21 = X
8 = X
A store sells six-packs of soda for $3.00 a six pack. If this relationship is graphed with the number of cans of soda on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per can?
A 3
B 2
C 3/4
D 1/2
Answers
Answer:
D: 1/2
Step-by-step explanation:
3/6 is .5 which means each can is .50 cents
What’s (5-4)(1)
Show work
Give good explanation
Answers
Answer:
1
Step-by-step explanation:
5-4=1 and assuming that by (1) you or your teacher means times 1 so 1 times 1 is one
Help!
1.1 × 10 to the power of 5 + 4 × 10 to the power of 8 = (answer) × 10 (answer)
Answers
Answer:
[tex] 4.0011 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]1.1 \times {10}^{5} + 4 \times {10}^{8} \\ \\ = 1.1 \times {10}^{5} + 4000 \times {10}^{5} \\ \\ =4001.1 \times {10}^{5} \\ \\ = 4.0011 \times {10}^{8} [/tex]
There are 24 students in the class. If 12 of them enrolled to the French courses, 13 of them to the Spanish and 7 of them take neither, what is the probability that a randomly-chosen student from this group is taking only the French class?
Answers
Answer:
1/6 = 0.1667 = 16.67%
Step-by-step explanation:
If there are 24 students in the class and 7 of them take neither courses, we have 17 students that take one or both courses.
To find the students that took both courses, we can use the formula:
N(Spanish or French) = N(Spanish) + N(French) - N(Spanish and French)
17 = 13 + 12 - N(Spanish and French)
N(Spanish and French) = 8
Then, the number of students that are taking only French is:
N(only French) = N(French) - N(Spanish and French)
N(only French) = 12 - 8 = 4
So the probability of chosing a student that took only French is:
P(only French) = N(only French) / N(total)
P(only French) = 4 / 24 = 1/6
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Answers
Answer:
The more experiments that are done, the more the theoretical trend is marked
Step-by-step explanation:
The first thing is to define each probability,
-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.
-Experimental probability is the proportion of the proposed result for the number of experimental attempts.
Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.
The Bilbo Company plans to manufacture decals for children's lunchboxes. Each decal
would cover one rectangular side of a lunchbox, as shown in the figure above. Which of
the following expressions gives the area, in square inches, of the decal, in terms of a and
Answers
Answer: 1 -2ax²+2x-ax
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: length x width
Replacing with the values given:
A = (2x+1) (1-ax)
A = [2x(1)] + [2x(-ax)] +[ 1(1)]+ [1 (-ax)]
A = 2x- 2ax² +1- ax
A = 1 -2ax²+2x-ax
In conclusion, the correct option is 1 -2ax²+2x-ax
Feel free to ask for more if needed or if you did not understand something.
Data is another word for fraction.
True
False
Answers
Answer: False
Step-by-step explanation:
Which of these expressions is equivalent to log9 10? A) log 9 B) log 19 C) 1 log 9 D) 1 log 19
Answers
BD is the perpendicular bisector of triangle ABC , and BD is a shared side of triangle ABD and triangle CBD . Which of the following must be congruent in order to verify that triangle ABD cong triangle CBD
Answers
Answer:
Option D is correct answer AD and CD are congruent
Step-by-step explanation:
because BD is bisector of AC
so AD = CD
Answer:
Yes option D
Step-by-step explanation:
If you measure AD and DC they will be the same length
Peter buys a house that costs $100,000. If the
house loses 5% of its value each year, to the
nearest dollar, what will be the value of the
house after 6 years?
(A) $63,025
(B) $66,342
(C) $69,834
(D) $73,509
(E) $77,378
Answers
Answer:
None of these, it's $70,000.
Step-by-step explanation:
5% of $100,000 is $5,000
$5,000 · 6 (# of years) = $30,000
$100,000 - $30,000 = $70,000
Solve the equation using square roots.
[tex]x^{2} -16= -16[/tex]
Answers
Answer:
x = 0
Step-by-step explanation:
x² -16 = -16
x² = - 16 + 16
x² = 0
√x² =√0
x = 0
