Answer:
A. 29.91
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(41) = 26 / x
0.869... = 26/x
26 / 0.869... = x
x = 29.91...
in a survey of a group of people, showed that,45 liked lassi,40 liked juice,60 liked curd,10 liked juice as well as lassi,25liked lassi as well as curd,20 liked juice as well as curd n 5 like all three.how many people were asked this question? solve by drawing the venn diagram.
let L,J and C be lassi , juice, and curd respectively
Please show work
Determine the value of each variable
9514 1404 393
Answer:
k = 56°
Step-by-step explanation:
If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...
2b +a = 180°
from which we get ...
a = 180° -2b
b = (180° -a)/2
__
The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.
The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.
k = 56°
_____
We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.
The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.
Solve The Inequality
Answer:
Step-by-step explanation:
Answer is c
Sam buys a carpet for his apartment. The diagonal length of the carpet is 12 feet and the width is 10 feet. Find the length of the carpet.
Answer: 6.633 Feet
Step-by-step explanation:
Solve the system algebraically.
2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0
Answer:
Let 2x + y - 10 = 0 be equation (a).
Let x - y - 5 = 0 be equation (b).
Make y the subject in equation (b):
[tex]{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}[/tex]
Substitute for y in equation (a):
[tex]{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}[/tex]
Find y in any equation of your choice:
[tex]{ \tt{y = (5) - 5}} \\ y = 0[/tex]
Find the measure of the indicated angle.
Answer: 88 - 180 =? ÷2
Step-by-step explanation:
multiply x2- 5x + 2 times 3x2 +2x + 3
Answer:
Step-by-step explanation:
(x² - 5x + 2)*(3x² + 2x + 3) =x²*(3x² + 2x + 3) - 5x *(3x² + 2x + 3) + 2*(3x² + 2x + 3)
=x²*3x² + x²*2x + 3*x² - 5x *3x² - 5x * 2x - 5x*3 +2*3x² + 2*2x + 2*3
= 3x⁴ + 2x³ + 3x² - 15x³ - 10x² - 15x + 6x² + 4x+6
= 3x⁴ + 2x³ - 15x³ +3x² - 10x² + 6x² -15x + 4x + 6
= 3x⁴ - 13x³ - 7x² - 11x + 6
When multiplying terms, multiply the coefficients and if same variables are there, then add the powers.
Can someone help me with this. Thx
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See this attachment
[tex]\boxed{\boxed{\sf{ x=5~and~y=-5 }} }[/tex]
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since its the same you will have to multiple it all to get the answer
Abram completes one lap of a go-cart track every 40 seconds. Joshua completes one lap of the same track every 30 seconds. Suppose Abram and Joshua cross the starting line at the same time.
a. How many seconds will pass before they cross the starting line at the same time again?
b. How many laps will Abram have completed in that time?
c. How many laps will Joshua have completed in that time?
Answer:
Below in bold.
Step-by-step explanation:
a. This is the Lowest common multiple of 30 and 40 which is
120 seconds.
b. In 120 seconds Abram had completed 120/40
= 3 laps.
c. Joshua completed 120/30 = 4 laps.
Answer:
Step-by-step explanation:
A, Lowest common mutiple of 30 and un is 120 seconds
(40x3 = 120, 30x4 = 120)
6.120/40 = 3 laPs Abram did 3 laps.
L. 120/30 = u laPs Jeshya did u laps
1. Which of the following expressions are equivalent to? Select all that apply. A. 31 . 36 B. 31 . 35 C. 3-2 . 3-4 D. 32 . 3-8 E. 3 • 3-6 F.3-1 . 3-5
Answer: A and C
Step-by-step explanation:
Factor the polynomial function over the complex numbers.
f(x)=x^3+2x^2+5x+10
Answer:
[tex]{ \tt{f(x) = (x + 2)(x + 2.2i)(x - 2.2i)}}[/tex]
The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object's distance from the center of the circular path: . Solve the formula for r.
Answer:
v = √ar
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION;
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r
the given formula is (a= v^2/ r) .....eqn(1)
Where
a=centripetal acceleration
r = object's distance
We were told to find velocity (v)
From eqn(1) we can cross multiply, then we have
a.r=v^2 ...................eqn(2)
Then we can make (v^2) the subject of the formula, we have
(v^2) = ar
We can make "v" subject of the formula, then we have
v = √ a*r
Answer:
r = v^2/a
Step-by-step explanation:
What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9
Answer:
A. log9 3=x
Step-by-step explanation:
The logarithmic form with base 9 is log₉ 3 = x.
The correct option is A.
The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.
The logarithmic form with base 9 is log₉ 3 = x.
Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.
The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).
In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.
Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.
To learn more about the logarithms;
brainly.com/question/28346542
#SPJ6
UR SO COOL IF UOU ANSWERRR PLEASE ANSWERRRR
Answer:
1/6 is less than 1/2
Step-by-step explanation:
1/6 is close to 0
8/9 is close to 1
1/6 is less than 1/2
99, 159, 219, ___. To find the next number after 219, we should a. Add 69 to 219 b. Subtract 60 from 219 c. Add 60 to 219 d. Add 40 to 219
Answer:
C
Step-by-step explanation:
99+60=159.
159+60=219
219+60=279
HELPPPPP MEEEEEEEEEEEEEEEE
Answer:
V = 20,000 - 2,000t
Choose the graph that correctly corresponds to the equation y = −4
Answer:
e
Step-by-step explanation:
the graph should look something like this
6) Given that the point (3, −10) lies on the graph of a function , what point must be on the graph of ℎ
where ℎ() = ( − 4) + 2?
Answer:
(7,-8)
Step-by-step explanation:
Given
(x,y) = (3,-10)
Required
The equivalent point on h(x) = k(x - 4) + 2
(x,y) = (3,-10) means
k(3) = -10
Substitute 7 for x in h(x)
h(7) = k(7-4) + 2
h(7) = k(3) + 2
Substitute -10 for k(3)
h(7) = -10 + 2
h(7) = -8
So, the equivalent point on h(x) is
(7,-8)
Who can help me with problem 2 you can earn 11 points
Answer:
m∠ADC = 90°
5x-5 = 90
x = 19
Step-by-step explanation:
what is six times a number is greater than 12
Answer:
6n>12
Step-by-step explanation:
n represents the number.
So 6 times the number would be 6*n or 6n.
Greater than 12 is >12
I hope this helps!
What is this expression in simplified form?
3v3.676
A.
5472
B.
54
C.
18V3
D.
1872
Answer:
The answer is A. 54 (sqrt)2
Step-by-step explanation:
square of (1\4A+1\4B)^2
Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1
Step-by-step explanation:
Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.
A shopkeeper buys TVs for Nu 15000 and marks them up 15% to sell them. What is the mark up amount? *
[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]
Markup amount is 2250Nu
evaluate the expression when x=11 and y=35 x+y/7
when x= 11
or,y= 35x +y/7
or,y= 35×11+y/7
or,y=(385×7+y)/7
or,7y=2695+y
or,7y-y =2695
or,y=2695/6
or, y = 449.167
Which is the graph of the equation?
(x-1)^2/3^2 + y^2/4^2=1
Answer: C
Step-by-step explanation:
The center is at (1,0). This eliminates all the options except for C.
Suppose that you work for a newly restructured automotive company with nearly 100,000 employees. You are in charge of purchasing engines from an overseas supplier. Company policy is that you purchase 500 engines each month to be placed into cars on the assembly line. Your overseas supplier of engines guarantees that no more than 0.9% of the new engines shipped to you will fail a simple electrical test. To check out the monthly shipment of the 500 engines you randomly select and test 50 of these engines, and you find that 1 is defective. Do you think that the supplier has met the guarantee
Answer:
The p-value of the test is 0.0764 > 0.05, which means that there is not enough evidence to reject the null hypothesis that the proportion is of at most 0.009, and thus we can conclude that the supplier has met the guarantee.
Step-by-step explanation:
Your overseas supplier of engines guarantees that no more than 0.9% of the new engines shipped to you will fail a simple electrical test.
At the null hypothesis, we test if the proportion is of at most 0.9% = 0.009, that is:
[tex]H_0: p \leq 0.009[/tex]
At the alternative hypothesis, we test if the proportion is of more than 0.009, that is:
[tex]H_1: p > 0.009[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.009 is tested at the null hypothesis:
This means that [tex]\mu = 0.009, \sigma = \sqrt{0.009*0.991}[/tex]
50 of these engines, and you find that 1 is defective.
This means that [tex]n = 50, X = \frac{1}{50} = 0.02[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.02 - 0.009}{\frac{\sqrt{0.009*0.991}}{\sqrt{50}}}[/tex]
[tex]z = 1.43[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.02, which is 1 subtracted by the p-value of z = 1.43.
Looking at the z-table, z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
The p-value of the test is 0.0764 > 0.05, which means that there is not enough evidence to reject the null hypothesis that the proportion is of at most 0.009, and thus we can conclude that the supplier has met the guarantee.
PLEASE HELP!! would this be symmetric or reflexive property?
Answer: It's "reflexive" because the equation is equal on both sides
Step-by-step explanation: The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)
Hope this helped!!
I needddd help it’s urgenttttt!!!!
Circle A: center (-4, 0) and radius 6
Circle B: center (11, 0) and radius 4
Which of the following transformation is performed from circle A to circle B?
Answer:
Circle a must be translated (x+15, y+0) and then dilated by 4/6 in order to get circle b.