What forces are acting on an object that is at rest?
In a triangle ABC, the measure of angle B is 4 times the measure of angle A, and the measure of angle C is 17° less than 5 times the measure of angle A. Find the measure of the angles.
Answer:
A: 19.7º B: 78.8º C: 81.5º
Step-by-step explanation:
The trouble with problems like this is usually just getting started.
Hint: look at the descriptions of the angle measures and see if one of the angles is mentioned twice. It's angle A. Pick a variable for the measure of that angle, say a.
Angle B: "4 times the measure of angle A" becomes 4a
Angle C: "17 less than 5 times the measure of angle A" becomes 5a - 17
Now use the fact that relates all three angles: the sum of the measures of any triangle's angles is 180 degrees.
a + 4a + (5a - 17) = 180
Combine like terms.
10a - 17 = 180
Add 17.
10a = 197
Divide by 10.
a = 19.7 degrees
Try not to panic because the answer is not a whole number!
Plug this into the expressions for the other angles.
B: 4(19.7) = 78.8 degrees
C: 5(19.7) - 17 = 81.5 degrees
Check: 19.7 + 78.8 + 81.5 = 180
What is the value of the median? 3 4 4.5 5
Answer:
4
Step-by-step explanation:
A triangle has one side measuring 16 inches and two sides measuring 13 inches. Is this triangle scalene?
I don't believe it is scalene, maybe try looking it up?
Answer:
NO
Step-by-step explanation:
A scalene triangle has no sides equal. This triangle has two sides equal with 13 inches. This triangle is isosceles.
x = 3
y = -5
z = 2
3x + 6y - 5z
Need it please
Step-by-step explanation:
3x + 6y - 5z
=3×3+-5×6-2×5
=9+-30-10
=9-40
=-31
Answer:
- 31
Step-by-step explanation:
x = 3
y = -5
z = 2
3x + 6y - 5z
3(3) + 6(-5) - 5(2)
9 - 30 - 10
9 - 40
- 31
Hope this helps!
Help pls ty it's very urgent
Answer:
do by interest formula
PTR/100
P=TR/100*50
BDC is an isosceles triangle.
Answer:
Down Here
Step-by-step explanation:
Step 2:
Statement: m∠C ≅ m∠B
Reason: sides opposite to congruent angles are congruent
Step 3:
Statement: BE = CE
Reason: Def. of a midpoint
Step 4:
Statement: AE = AE
Reason: Reflexive Property
Step 5:
Statement: ΔACE ≅ ΔABE
Reason: SSS
Step 6:
Statement: m∠AEC ≅m∠AEB
Reason: CPCTC
Step 7:
Statement: DE = DE
Reason: Reflexive Property, Parts whole postulate
Step 8:
Statement: ΔCDE ≅ ΔBED
Reason: SAS
Step 9:
Statement: CD = DB
Reason: CPCTC
-Chetan K
Charlie bought 2 pounds of pears for $0.76 per pound and 2 pounds of grapes for $1.40 per pound. How much
money in dollars and cents did Charlie pay for the pears and grapes?
Record your answer in the boxes below. Be sure to use the correct place value.
+/-
A
HELP! I don’t know how to solve this and i’m so confused
HELP ME!! whats the answer? no goofing around pleaze
Answer: A
Step-by-step explanation:
[tex]\frac{6.3\cdot \:10^8}{9\cdot \:10^2}[/tex]
[tex]=\frac{6.3\cdot \:10^6}{9}[/tex] --> Exponent rule for division, 10^8/10^2 = 10^6
= 700,000 --> In scientific notation, 7.0×10^5
Please answer soon!!!
TW is the midsegment of the trapezoid UVXY
=> 2TW = XY + UV
=> 2(z - 2) = 4z - 34 + z
=> 2z - 4 = 5z - 34
=> 5z - 2z = 34 - 4
=> 3z = 30
=> z = 10
Answer: z = 10
Ok done. Thank to me :>
The triangles below are similar.
10
33
22
12
х
y = [?]
Answer:
it's 11 and x is 12
Answer:
y = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{y}{33}[/tex] = [tex]\frac{10}{22}[/tex] ( cross- multiply )
22y = 330 ( divide both sides by 22 )
y = 15
In the Country A legal system, a defendant is presumed innocent until proven guilty. Consider a nullhypothesis, H0, that the defendant is innocent, and an alternative hypothesis, H1, that the defendant is guilty. A jury has two possible decisions: Convict the defendant (i.e., reject the nullhypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis). Explain the meaning of the risks of committing either a Type I or Type II error in this example.
Using error concepts, it is found that in this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.
What are Type I and Type II errors?Type I: Rejection of a true null hypothesis. The null hypothesis is true, but from a sample, you get enough evidence to reject.Type II: Non-rejection of a false null hypothesis. The null hypothesis is false, but from a sample, you do not get enough evidence to reject.Hence:
In this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.
More can be learned about error concepts at https://brainly.com/question/25225353
Helppppp ur girl out
A car is moving 28.5 m/s when it sees a
policeman. It slows to 15.0 m/s in 2.37 s,
then drives at a constant speed for 8.25 s.
How far does the car travel in the problem?
(Unit = m)
PLEASE
HELPPP QUICKLY
Step-by-step explanation:
look at the picture I have sent
a circle has a radius of 50 centimeters whats its area
#1: Solve the triangle.
Answer:
D
Step-by-step explanation:
because i just took the test
Find area of circle
a)radius = 4cm
b)radius = 3m
c)radius =9m
d)radius =20cm
e)radius =12cm
The product of 3 and the difference of 5 and a number
Answer:
3 * (5 - x)
Step-by-step explanation:
Using the keywords:
product of
difference of
and a number
The product of 3 and the difference of 5 and a number is (5 - x)×3.
What is distributive law ?Distributive law comes handy when we have two or more than two numbers or variables inside brackets and the terms are separated by addition or subtraction and the whole bracket is multiplies to some other one or more than one variable or another bracket consisting same as stated we can multiply them with certain rule explained by an example
a(b+c) = ab + ac
(a+b)(c+d) = ac + ad + bc + bd
According to the given question
The product of 3 and the difference of 5 and a number product means multiplication difference means subtraction.
Assuming the number to be x.
∴The product of 3 and the difference of 5 and a number is
difference of 5 and a number is ( 5 - the number )
= (5 - x ) and their product with 3 which is
= (5 - x)×3
= 15 - 3x if we distribute.
Learn more about Distributive law here :
https://brainly.com/question/499160
#SPJ2
Employees at a hospital take the temperature of every one of its more than 1,000 patients who visit the emergency room. The body temperatures of these patients follow a normal distribution similar to this:
Suppose that the hospital takes a random sample of 16 patients and calculates the sample mean temperature for those patients.
What will be the shape of the sampling distribution of the sample mean temperature?
Answer:
Approximately Normal
Step-by-step explanation:
Since we're given a normally distributed population, the sampling distribution of the sample means will also be normally distributed, even when the sample size is small.
Assume that females have pulse rates that are normally distributed with a mean of 78 beats per minute and a standard deviation of 12.5 beats per minute find the probability of a pulse rate between 61 beats per minute and 72 beats per minute
Answer:
61 beats = 4.88
72 beats = 5.76
Step-by-step explanation:
Firstly,you have to divide 61 to 12.5 then you can get 4.88. After that, you must divide 72 to 12.5 then you can get 5.76. Hope this will help you!
How much did you deposit at the end of each month into an investment account to pay 6.5% compounded monthly to have $3 million when you retire and 37 years
Answer:
$272559.70
Step-by-step explanation:
So, let's start with what we know
This problem should be solved with the formula
A = P ( 1 + r/n)^nt
The variable A is the final amount
A = 3000000
This is the amount we want to achieve
The variable P is the principle, the amount of money you put in a bank to earn interest
We have to solve for this value
The variable r is the interest rate
r = 0.065
Note: I converted the percent to a decimal, so we can use it in the formula
The variable n is the amount of times interest is compounded
n = 12
The interest is compounded monthly in a year, so 12 times
The variable t is the amount of time you have to earn the interest
t = 37
So, let's solve for the value P with the values we know
3000000 = P ( 1 + 0.065/12)^(12x37)
3000000 = P(11.0067628047)
3000000 / 11.0067628047 = P(11.0067628047) / 11.0067628047
272559.702905 = P
P = 272559.70
Note: I rounded to the nearest cent, since there isn't a value of USD lower than 1 cent.
So, there you have it, a principle of 272559.70 will get you 3000000 in 37 years given that interest is compounded monthly at 6.5% interest rate
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!
HELP PLS!!! A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 2.5) The combined area of the garden and the walkway is 5.5 (8x+6) Find the area of the walkway around the garden as the sum of two terms.
Answer:
4x5+2x5= 30
Step-by-step explanation:
A rectangle has an area of 36 mm2. All of the sides
are the same length.
What is the length of a single side?
Answer:
6mm
Step-by-step explanation:
A rectangle with all sides equal is a square
Area=a
36=a
a=6mm
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the Quadrilateral. Show your work. ( Please do not recopy another students answers on Brainly Or Any Other Websites. You'll be reported if you do. (Will Mark Brainliest if answered correctly.
Answer:
Shown Below.Explanation:
opposite angles in a quadrilateral sum up to 180°
total interior angles in a quadrilateral is 360°
solve for x:
x - 2 + x + 2 = 180°
2x = 180°
x = 90°
solve for each angle:
1st
x + 2
90° + 2 = 92°
2nd
x - 2
90° - 2 = 88°
3rd
x - 10
90° - 10° = 80°
4th
360° - 80° - 88° - 92° = 100°
For a moving object, the force acting on the object varies directly, with the object's acceleration. When a force of 32 N acts on a certain object, the acceleration of the object is 4 m/s2. If the acceleration of the object becomes 10 m/s, what is the force? _____n what goes in the blank
Answer:
80n
Step-by-step explanation:
32n=4m/s
?=10m/2
10/4=2.5
32*2.5+80
80n
ALGEBRA 1 SOMEONE PLEASE HELP ILL GIVE BRAINLIST IF YOU CAN SOLVE THIS FOR ME THANKS!
Answer:
(x +2) (x+ 8)
Step-by-step explanation:
2x^2 + 20x + 32
you have to multiply 32 by 2 bc the leading coefficient is >1, now find which multiples of 64 add up to 20, which is 16, and 4
(2x +4) (2x +16) u have to simplify these bc the leading coefficient is >1, the gcf is 2, so divide by 2
(x + 2) (x + 8)
Select all that apply
(Will give brainliest)
can I have help with the problem in the picture pls
Math tw
Directions : Solve using mul
,
or division Make sure to
work and use CUBES if
1. (4X10)+ (4x7) = 17x 4
use a calculator it's way easier but here is the answer
