Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this trigonometric ratio for the given triangle, we get
[tex]\cos A=\dfrac{AB}{AC}[/tex]
[tex]\cos (60^\circ)=\dfrac{AB}{10}[/tex]
[tex]\dfrac{1}{2}=\dfrac{AB}{10}[/tex]
[tex]\dfrac{1}{2}\times 10=AB[/tex]
[tex]5=AB[/tex]
Therefore, the length of AB is 5 units.
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent candidate.
Based on this sample, which of the following is a 90% confidence interval for the proportion of all voters who
plan to vote for the incumbent candidate?
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
Check conditions for a 1-proportion z-interval:
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
Given:
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
show how you got your answer
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
the first one, QPN and OPS
Explanation:
they're intersecting and opposites
hope that helped :)
Answer: OPN AND QPN I think (I’m so sorry if I’m wrong)
Step-by-step explanation:
I need to find the missing angle and arc measures.
please answer
Step by step
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.
Answer:
Christmas lights are price based shopping products
Step-by-step explanation:
From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.
The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).
Because of this, the customer will opt for least expensive items, leaving the more expensive items.
Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
6 in.
9514 1404 393
Answer:
30.85 in
Step-by-step explanation:
The circumference of a circle with a 6" radius is ...
C = 2πr
C = 2π(6 in)
Then the curved portion of a semicircle with that radius will have the length ...
1/2C = 1/2(2π)(6 in) = 6π in . . . . curved length
The straight portion of the boundary of this figure is simply twice the radius, so is ...
2×6 in = 12 in . . . . straight length
__
The perimeter is the sum of the curved and straight lengths:
P = (6π +12) in ≈ 30.8496 in ≈ 30.85 in . . . . figure perimeter
What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
the radio is 14
help pleasee
Answer: 615.4
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
if the radius is 14
[tex]A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\[/tex]
Answer:
615.4
Step-by-step explanation:
Area= 3.14x14²
Area= 615.4
Hope this helps!! have an Amazing day!!
Mrs. Cole has a bag containing white and yellow marbles. Mrs. Cole randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below. White Marble - 41 times Yellow Marble - 24 times Based on these results, what is the probability that the next marble Mrs. Cole selects, rounded to the nearest percent, will be white?
answer choices
40%
50%
59%
63%
If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.
Answer:
35% of 100 is 35
Step-by-step explanation:
the first person who answered this did a good job at explaining it
Answer:
35% of 100 is 35
Step-by-step explanation:
so trying to get this right hope it helps :D
You and your friend are
sharing 3/8 of a bag of candy.
How much of the bag will each
of you get if you share it
evenly?
Which operation will you
use for this problem (circle
one)
+ -
X =
Answer:
Each freind will get 3/16 of bag of candy
and Multiplication
Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.
Answer: x=233
Step-by-step explanation:
The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:
|AC|² = |AB|² + |BC|²
13²=8²+ |BC|²
|BC|=10.25
The missing side of this right triangle will be 10.25.
Learn more about Pythagoras theorem refer:
https://brainly.com/question/12105522
#SPJ2
Four hundred five trillion eighty-four million thirty thousand in numbers?
On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?
Answer:
13 %
I hope it's correct.
Step-by-step explanation:
initial marks (o) = 98
final marks (m) = 85
rate (r) = ?
Now,
r =
[tex] \frac{o - m}{o} \times 100percent[/tex]
= ((98-85)/98)x100%
=13.26%
NEEED HELP ASAP PLEASE
Step-by-step explanation:
[tex]( {m}^{15} )( {m}^{3} ) ^ {- 4} \\ = ( {m}^{15} )( {m}^{3 \times - 4} ) \\ = ( {m}^{15} )( {m}^{ - 12} ) \\ = {m}^{15 + ( - 12)} \\ = {m}^{15 - 12} \\ = {m}^{3} \\ {m}^{x} = {m}^{3} \\ x = 3[/tex]
pair of ratios. 1 : 2 = ___ : 8
Answer:
4
Step-by-step explanation:
Answer:
1 : 2 = 4 : 8
Step-by-step explanation:
Find the median of the data set. 1470, 1590, 1420, 1215, 1405, 1370, 1465, 1460, 1230
Answer:
the median is the middle number find the middle number of these and there's your answer
Answer:
1420 is the Median
Step-by-step explanation:
Plz hurry.....................
Answer:
figure of cuboid
volume of cuboid=l×b×h
Step-by-step explanation:
(10×3×4)in cube=120incube
Helppppppppp meeee pleaseeee
Answer:
99 kilograms
Step-by-step explanation:
if 1 tire is 11 kg then 9 tires is 99
1 tire = 11
9 tires= 11 * 9
=99 kg
Find the arc length of the following problem:
Answer:
[tex]61.261 {ft}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{270}{360} \times 2\pi \: r \\ \frac{270}{360} \times 2 \times \pi \times 13 \\ = 61.261 {ft}^{2} [/tex]
Can I have the brainliest please?Someone please help!!!
Answer:
27 cubic cm
Step-by-step explanation:
volume of cube = a^3
= 3*3*3 = 27 cubic cm
Answer:
27 cubic cm
Step-by-step explanation:
W x L x H
3 x 3 x 3
Hope it helps ^^
Please help me with this question!! I also need the steps
Hi there!
[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
The binomial (a+5) is a factor of a2+7a+10. What is the other factor?
(a+2)
(a+5)
(a−2)
(a−5)
Answer:
(a+2)
Step-by-step explanation:
a²+7a+10 = (a + 5) (a + 2)
a + 5
X 5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10
a + 2
______
(a + 5) (a + 2)
Answer:
a
Step-by-step explanation:
PLEASE HELP WITH NUMBER ONE or all of them will mark Brainly-est
Answer:
Step-by-step explanation:
Simplify: -4g(8g + 5)
Answer:
−32^2−20
Step-by-step explanation:
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answer:
B
Step-by-step explanation:
Enter the number that makes this equation true. 4.20 + 12/100 = _/100 + 12/100
A shirt is on sale for 35% off the original price. If the original price is $39.00 what is the sale price?
Answer:
$25.35
Step-by-step explanation:
You just take off the percentage from the original price to get your final answer.
Hope this helps c:
Classify each as a minor arc, major arc, or semicircle!!!!!!!!!!!!
AE:
AEB:
FDE:
FED:
FA:
BDF:
Answer:
Minor Arc: AE, FA
Semicircle: AEB, FDE
Major Arc: FED, BDF
Step-by-step explanation:
Required
Classify base on the type or arc
Keynote
Minor arcs are less than 180 degrees
Semicircle are equal to 180 degrees
Major arcs are less than 180 degrees
Using the above keynote, we have the following observation
AE: Minor
AEB: Semicircle
FDE: Semicircle
FED: Major
FA: Minor
BDF: Major
Can someone answer this? I’ll give points + brainalist