Answers
Answer:
Step-by-step explanation:
use the law of Cosines so that you can solve a SSS triangle
Cos(C) = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex] / 2ab
c is the side of 24 for our triangle and angle C is the top one in the picture.
C = arcCos ( [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - [tex]c^{2}[/tex] / 2ab )
C = arcCos ( -32 / 480 )
C = 93.82255373 °
the angles at the top are each half of that or 46.91127 °
let's solve another angle for the big triangle now let's go for the one on the left and call it A
Cos(A) = [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex] / 2bc where a = 20
A = arcCos( [tex]c^{2}[/tex] + [tex]b^{2}[/tex] - [tex]a^{2}[/tex] / 2bc)
A = arcCos( [tex]24^{2}[/tex] + [tex]12^{2}[/tex] - [tex]20^{2}[/tex] / 2*12*24
A = arcCos(320 / 576)
A = 56.2510 °
then angle B is 180 =93.823 + 56.251 + B
29.926 ° = B
so now we know all 3 angles.. seems like a lot of work , huh :D
for the triangle with the question mark we now know two angles and the Hyp, so let's use Law of Sines to find that last side :)
Sin(A)/a = Sin(B) /b where A can be the angle at the top and B can be the angle at the base. which we have to find still :/
it's 180 = 46.9112 + 29.926 + B
103.162 = B
Sin(46.91127 ) / a = Sin(103.162) /20
Sin(46.91127 ) * 20 / Sin(103.162) = a
14.99998 = a I feel confident this is supposed to be 15 and I have a tiny bit of rounding error..
? = 15 there you go
your answer is 15
Related Questions
please help me with these two i have to send it after class!!!!!
Answers
the first one is the answer to #1
and the second one is the answer to #2
Determine how far the vehicle travels in 3 hours.
A helicopter travels 240 miles every 2 hours.
Answers
Answer:
360 miles
Step-by-step explanation:
The unit rate here is (240 miles) / (2 hours), or 120 mph.
In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles
Answer:
360
Step-by-step explanation:
240/2 =120 So, you want to add 120 to 240 to get 360.
Work out the length of AC.
Give your answer to 3 significant figures.
A
29 cm
23°
ch
B
Answers
Answer:
AC ≈ 11.3 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )
29 × sin23° = AC , then
AC ≈ 11.3 cm ( to 3 significant figures )
The weight of 25 folding chairs is 15 kg. How many
chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Answers
Answer:
3,375 chairs
Step-by-step explanation:
The weight of 25 folding chairs is 15 kg
Number of folding chairs : weight
= 25 : 15
How many chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Let number of folding chairs = x
Number of folding chairs : weight = x : 2025
Equate both ratios
25 : 15 = x : 2025
25/15 = x/2025
Cross product
25 * 2025 = 15 * x
50,625 = 15x
x = 50,625/15
x = 3,375
Number of folding chairs = 3,375 chairs
Could someone help me with this?
Answers
Step-by-step explanation:
In first area before change = 216 in
but after change area =54 in
In second perimeter change = 18ft
but after change perimeter = 54ft
radius before change =16mm
but after change =8mm
Answer:
In first area before change=216 in.
but after change area= 54 in.
need to finish soon please help
Answers
Jose weighs 45 pounds. His older brother, Saul, weighs 3 times as much as Jose and 5 times as much as their little brother, Nick. List the weights of each brother.
Answers
Saul is 135
Nick is 27
For which values of x will the rational expression below be undefined? Check
all that apply.
(x - 1)(x + 1)
X + 2
A. -1
B. 1
C. -2
D. 2
E. -5
F 5
Answers
Answer:
-2
Step-by-step explanation:
For the given expression to be undefined, this means that the denominator must be zero.
From the given expression, the denominator is x + 2
Equating this to zero;
x+2 = 0
Subtract 2 from both sides
x+2-2 = 0 -2
x = -2
Hence the value of x that makes it undefined is -2
?− 4 = –11
please answer in steps
Answers
Answer:
-7-4=-11
Step-by-step explanation:
-7 - 4 = -11
If you add -11 with +4 you will get -7.
So you have -11+4=-7
and -7-4=-11
hope this helps
If you take a number, times by 5 then add 7. You get the same as if you took the number, times by 9 then add 3. What is the number?
Answers
Answer: The number is 1
Step-by-step explanation:
5x + 7 = 9x + 3
5x + 7 - 5x = 9x - 5x + 3
7 = 4x + 3
7 - 3 = 4x + 3 - 3
4 = 4x
x = 1
Check work:
5(1) + 7 = 12
9(1) + 3 = 12
It works
What is the area of this figure?
Answers
Answer:
You split it into two parts then add them
Step-by-step explanation:
. All clothing is being marked down 15%. Which expression represents the new retail price? A) 0.85x C 1.85x (B) 1.15x D 0.15x
Answers
Answer:
A
Hope that helps!
Step-by-step explanation:
The expression that represents all clothing is being marked down 15%.
is A) 0.85x.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know fractions and percentages are related.
Assuming the cost of clothing to be 'x'.
∴ After the markdown of 15% it is,
= {(100 - 15)/100}×x.
= {85/100}×x.
= 0.85x
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Find the HCF of 126 and 420
Answers
Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
The highest common factor HCF of 126 and 420 is 42
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the HCF of the two numbers be represented as n
The value of n is
Let the first number be p = 126
Let the second number be q = 420
The factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 , 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420
So , the highest common factor of the two numbers 126 and 420 is 42
Therefore , the value of n = 42
Hence , the HCF is 42
To learn more about LCM and HCF click :
https://brainly.com/question/20049151?
#SPJ2
Will mark brainly
ASAP
Answers
Olivia buys cookies and apples at the store.
• She pays a total of $24.79.
• She pays a total of $4.75 for the cookies.
• She buys 4 bags of apples that each cost the same amount.
Answers
Because $24.79-4.75= $20.04
You said she bought 4 bags of apples each costing the same so now you divide $20.04 by 4 giving you $5.01
Ceil annual salary is $72,000. What is her biweekly salary?
Answers
Answer:
3000.00
Step-by-step explanation:
72,000 divide by 12 months = 6,000
6000.00 divide by 2 = 3000.00
round 1.19!!!! PLEASE
Answers
Answer:
1.2
Step-by-step explanation:
I am just writing this sentence to get the required amount of characters.
need helpppp gajsgajshajda
Answers
2.) 20
Steps:
1.) 180 = 3x + 136
180 -136 = 3x
44 = 3x
44/3 = x
14.66666666666667 = x
2.) 70 + x = 90
x = 90 - 70
x = 20
I would appreciate brainliest if this was helpful and correct! ;)
State whether each set of hypothesis is valid for a statistical test and briefly explain why ?
Answers
Complete Question:
State whether each set of hypothesis is valid for a statistical test and briefly explain why ?
[tex]H_0 : \mu=10; \ \ \ H_a : \mu\ne10[/tex]
[tex]H_0 : p \ne 0.5; \ \ \ H_a : p = 0.5[/tex]
[tex]H_0 : p_1 < p_2; \ \ \ H_a : p_1 \supset p_2[/tex]
Answer:
[tex]H_0 : \mu=10; \ \ \ H_a : \mu\ne10[/tex] --- Valid
[tex]H_0 : p \ne 0.5; \ \ \ H_a : p = 0.5[/tex] --- Invalid
[tex]H_0 : p_1 < p_2; \ \ \ H_a : p_1 \supset p_2[/tex] --- Invalid
Step-by-step explanation:
For a test of hypothesis to be valid, the null hypothesis has to contain some form of equality i.e. [tex]=, \le,\ or\ \ge[/tex]
So, the above will be used to test for validity in the given tests of hypotheses.
[tex]H_0 : \mu=10; \ \ \ H_a : \mu\ne10[/tex]
This is valid because the null hypothesis has an equality sign.
The null hypothesis is: [tex]H_0:\mu = 10[/tex]
[tex]H_0 : p \ne 0.5; \ \ \ H_a : p = 0.5[/tex]
This is invalid because the null hypothesis does not have any equality sign. The null hypothesis is: [tex]H_0:p \ne 0.5[/tex]
[tex]H_0 : p_1 < p_2; \ \ \ H_a : p_1 \supset p_2[/tex]
This is invalid because the null hypothesis does not have any equality sign. The null hypothesis is: [tex]H_0:p_1 <p_2[/tex]
What is the volume of the cone? Use 3.14 for p.
A
115.40 cubic mm
B
346.19 cubic mm
C
461.58 cubic mm
D
1384.74 cubic mm
Answers
What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
-3
0
ОООО
2
w
Save and Exit
Next
Submit
Mark this and return
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
You are selling your car to buy a new one. The dealership is only offering you $3200 for your
12-year old car. If the dealership
states that a car's value depreciates at about $1300 yearly,
what did you pay for your car originally?
Answers
Answer:
$18800
Step-by-step explanation:
3200 + 12(1300)
3200 + 15600
Answer:
$15 600
Step-by-step explanation:
price now-$3200
yearly depreciate=$1300
in 12 years= 1300×12=$15 600
Someone help and please make sure it’s right :)
Answers
Answer:
9
Step-by-step explanation:
[tex]11x + 1 + 7x + 17 = 180 \: \: \: \: 18x + 18 = 180 \: \: \: \: \: \: \: 18x = 180 - 18 \: \: \: \: \: \: \: \:18x = 162 \: \: \: \: \: \: \: \: \: \: 162 \div 18 = 9[/tex]
2/5- square root of 3
simplify
Answers
Answer:
(5 + √3)/11Step-by-step explanation:
2/(5 - √3) = 2(5 + √3)/(5 - √3)(5 + √3) = multiply by conjugate of the denominator2(5 + √3)/(25 - 3) = simplify(5 + √3)/11 answerWhat is the solution to this system of linear equations?
y − 4x = 7
2y + 4x = 2
(3, 1)
(1, 3)
(3, −1)
(−1, 3)
Answers
A tree is broken at a height of 7m from the ground and its top touches the ground at distance of 24m from the base of the tree. Find the original height of the tree. pls help with steps
Answers
then total height of tree=7+x
since it form a right angled triangle with base 24m and height 7m and hypotenuse be x
then by using Pythagoras theorem
(hypotenuse)^2=(base)^2+(height)^2
x^2=24^2+7^2
x^2=576+49
x^2=625
x=25
therefore height of tree =x+7=25+7=31
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Answers
Answer:
Step-by-step explanation:
21 because x= tend + lHk
Answer:
88
Step-by-step explanation:
X° + 116° = 180°(sum of opposite angle of a quadrilateral in circle is equal 180 °)
x°=180-116
x°=64°
therefore
A=(2(64)-40)
A=88°
how do i sketch a graph of y=2x that passes through the origin
Answers
Step-by-step explanation:
Given
Equation of line is [tex]y=2x[/tex]
Equation of line with slope m and intercept c on Y-axis is
[tex]y=mx+c[/tex]
Comparing the given line with slope-intercept form
[tex]\Rightarrow m=2\ \text{and}\ c=0[/tex]
The slope is also equal to [tex]\tan \theta[/tex]
[tex]\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^{\circ}[/tex]
To sketch the equation of [tex]y=2x[/tex]
Make a line that passes through the origin at an angle of [tex]63.43^{\circ}[/tex] with the x-axis.Find the selling price of a $10 item after a 40% markup
Answers
Answer:
Revenue: $14
Profit: $4
Step-by-step explanation:
Hope this helps!
A brainlist would be appreciated! I'm almost an expert!
What is the volume of the prism????