Answers
=================================================
Explanation:
Angle B = 90 degrees, and the side opposite this is the hypotenuse AC = 10.
Angle C = 30, and the side opposite this smallest angle is AB. For now we'll call this x.
It turns out that for any 30-60-90 triangle, the hypotenuse is twice as long as the short leg. So if x is the short leg, then 2x is the hypotenuse.
Set 2x equal to the given hypotenuse 10 and solve for x
2x = 10
x = 10/2
x = 5
That makes AB = 5.
In other words, we cut the hypotenuse in half to get the length of the shorter leg.
Related Questions
A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?
Answers
A retail store served 923 customers in October, and there were 45 complaints during that mo
What is the experimental probability that a customer complains?
Let's try that again
Answers
Answer:
Experimental probability [Customer complains] = 45 / 923
Step-by-step explanation:
Given:
Total number of customer in store = 923 customers
Total number of complaints in October = 45 Find:
Find;
Experimental probability [Customer complains]
Computation:
Probability of an event = Number of favorable outcomes / Total number of outcomes
Experimental probability [Customer complains] = Total number of complaints in October / Total number of customer in store
Experimental probability [Customer complains] = 45 / 923
In a right triangle, the ratio of the length of the side opposite acute angle to the length of the side adjacent to angle is called the tangent of angle .
Answers
Answer:
The given statement is "True"
Step-by-step explanation:
The right angle triangle is shown below:
The tangent value of an angle is given by the expression as shown below:
[tex]tan\alpha =\frac{a}{b}[/tex]
which statement would be true if you evaluate the expression (560x70) ÷10
a. the solution is 10 times as small as 560 + 70
b. the solution is 10 times as small as 560-70
c. the solution is 10 times as large as 560+70
d. the solution is 10 times as large as 560-70
Answers
Answer:
none
Step-by-step explanation:
No choice is correct.
The original expression has 560 x 70, the product of 560 and 70 inside the parentheses.
(560 x 70) ÷ 10 is 10 times smaller than 560 x 70
None of the choices show 560 x 70. They show 560 + 70 and 560 - 70.
Answer: none
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answers
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
What is the y intercept of the line that has a slope of 4 and goes through the point (-3,12)?
A) 0
B) -12
C) 24
D) 12
Answers
Hope this helps :)
Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.
A. -12/5
B. -4
C. 4
Answers
Answer:
C. 4 is the right answer!
Step-by-step explanation:
Which statement is true?
The range of h(x) is y> 0.
The domain of g(x) is y> 0.
O The ranges of f(x) and h(x) are different from
the range of g(x).
O The domains of f(x) and g(x) are different from the domain of h(x).
Answers
Answer:
Step-by-step explanation:
My grades depend on this question! Please help! Brainliest will be given out for this!
Answers
Answer:
2006
Step-by-step explanation:
1 + 2(1027) + 6 + 7 - 8 • 9 + 10
1 + 2054 + 6 + 7 - 72 + 10
2006
Find an area of a circle if the diameter of the circle is 40 cm
Answers
Answer:
1256cm^2
Step-by-step explanation:
The area of a circle is πr^2.
The radius is half of the diameter, so it's 20 cm.
A=3.14*(20cm)^2
A=3.14*400cm^2
A=1256cm^2
hi, i know this is basic math and stuff but I still need some help
Answers
Answer:
the answer is :
20 for the first figure
12 for the second figure
30 for the last figure
Answers:
Perimeter = 22 cmPerimeter = 22 cmPerimeter = 30 cm==============================================
Explanation:
The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.
So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).
For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.
It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.
Find the surface area and no links
Answers
Answer:
184 m²
Step-by-step explanation:
Surface Area = 2(10*2) + 2(10*6) + 2(2*6)
Surface Area = 2(20 + 60 + 12)
Surface Area = 2(92)
Surface Area = 184 m²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
can anyone help me solve ...
Answers
Answer:
a) x= 34°
b) x = 51°
Step-by-step explanation:
Points to keep in mind when solving triangle problems.
An isosceles triangle has two equal sides and the angles opposite to those sides are also equal angles.
A triangle with all sides equal is called an equilateral triangle, which is also called equiangular triangle.
How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.
Answers
Answer:
it depends on the size and angles that are given
SSS means side side side
SAS means side angle side
ASA means angle side angle
AAS means angle angle side
work out
(10 - 3 * 2)
Answers
Answer:
4
Step-by-step explanation:
(10 - 3*2)
negative 3 times 2 = -6
10 minus 6 = 4
pls help me with this problem mam confused
Answers
Answer:
96 yd^2
Step-by-step explanation:
Multiply l • w: 3 • 8 = 24 in
Convert inches to yards using the scale on the right:
24 • 4 = 96 yd^2
The number of bicycles in the repair shop is 5 times the amount of tricycles in the shop. There is a total of 39 wheels. How many bicycles are in the shop?
Answers
Answer:
15 bicycles
Step-by-step explanation:
ratio of bicycles to tricycles is 5:1 because it is 5 times greater and tricycle has 3 wheels and bicycles have 2 so i take 5 from the ratio and make a equation 5(2)+3(1)=13
i then divide 39 by 3 and get 3 i then take 3 and multiply it with it for the whole equation and find that 15 is the number of bicycles.
What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter
Answers
Answer:
166.59 cm³ (approx.)
Step-by-step explanation:
Help on this anyone?
Answers
Answer:
If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees
we subtract 32 from 63 to find OMN
63-32 = 31
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
The biggest angle is 63 degrees, for find OMN we have to do
63 - 32 = 31 degrees
Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books.Which equation and solution shows the total weight of the set of books A.
w=16×0.8w=12.8 kg, B.w=16−0.8w=15.2 kg
c.w=16+0.8w=16.8 kg D.w=16÷0.8w=20.0 kg
Answers
In the diagram of right triangle ABC, AB = 4 and BC = 7.
What is AC, to the nearest hundredth?
1
5.74
2
5.75
3
8.06
8.08
Answers
Answer:
5.74
Step-by-step explanation:
The value of AC in the given right triangle is 5.74 units.
What is Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².
Given that, the right triangle ABC, AB = 4 and BC = 7.
According to Pythagoras theorem,
AC² = AB²+BC²
AC² = 7²+4²
AC = √33 = 5.74
Hence, The value of AC in the given right triangle is 5.74 units.
For more references on Pythagoras theorem, click;
https://brainly.com/question/343682
#SPJ2
se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B
Answers
Answer:
i dont know spanish
Step-by-step explanation:
Find all the missing elements.
Round to the nearest tenth.
a = 10
b = 7
C = 6
A = [?]°
B = [ ]° C = [ ]°
Answers
Answer:
A= 100.3
B= 43.5
C =36.2
Step-by-step explanation:
Answer:
The answer for Acellus people is
A = 100.3
B = 43.5
C = 36.2
Step-by-step explanation:
What is the value of x?
Answers
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?
Answers
Answer: 625 miles
Step-by-step explanation:
100-40=60
so she has 60% for her distance so lets munis 40 from it and add 250 to 250
250+250=500
60-40=20
20 is half of 40 so whats half of 250? its 125
so she drove 625 miles for her road trip 2 and 1/2 a day
Maria needs to be at the airport terminal at 15:20. It will take
2 1/3
hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answers
Answer:
12:30
Step-by-step explanation:
plss Pa answer po!!!!!!!!!!!!!
Answers
Equation 1: 12-x=5 (Answer is 7)
Equation 2: 60-x=25 (Answer is 35)
Answer:
ronalyn has 7 oranges
7 + 5 = 12
aurthur has Php 35.00
25.00 + 35.00 = 60.00
hope it helps u..
Please help me it’s for a quiz
A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.
Answers
Answer:
*cough**cough* Ms. Roth?
John is 8 years younger than Ahmad. If the sum of their ages is 38, how old is John?
Answers
Since John is 8 years younger than Ahmad, the equation would be as follows:
x+x-8=38
Solve for x:
2x-8=38
38+8=46
2x=46
x=23
23 is Ahmad’s age, subtract 8 from this and you’ll get 15 for John’s age.
I wil Mark BRANLIEST!! HELP!!!! Consider the graphs of linear function f(x) = 3x, quadratic function g(x) = 3x2, and exponential function h(x) = 2x. Which statement about the functions f, g, and h is correct?
A. As x increases, the value of f(x) will eventually exceed the values of g(x) and h(x).
B. As x increases, the value of g(x) will eventually exceed the values of f(x) and h(x).
C. As x increases, the value of h(x) will eventually exceed the values of f(x) and g(x).
D. As x increases, the values of both f(x) and g(x) will eventually exceed the value of h(x).
Here the Graph: https://www.savvasrealize.com/community/proxy/assessment/68bd51a0599744be92849bd2e08be180/images/bdbcc6b2-8670-4ddc-95a2-a48b6d6da348
Answers
Answer:
Option C.
Step-by-step explanation:
We know that, for a value a > 1.
if b > c, then:
a^b > a^c
Now, this means that if we have two functions:
f(x) = x^n
g(x) = x^m
and m > n
then for large values of x, g(x) will be larger than f(x), because g(x) has a larger exponent.
now, is also true that:
f(x) = x^n
g(x) = n^x
for n > 1
For large values of x, g(x) will be larger than f(x), again, because for larger values of x g(x) will have a really large exponent, thus it grows really fast.
Then we can conclude that for the functions:
f(x) = 3*x
g(x) = 3*x^2
h(x) = 2^x
For a given value of x, h(x) will exceed the other two functions.
This can be seen in the graph below, where:
h(x) is purple, g(x) is blue, and f(x) is green.
We can see that eventually, h(x) exceeds the other two.
The correct option is C.
