Answers
Answer:
A = 51° b = 15.3858... c = 24.448
Step-by-step explanation:
Given: B= 39°
a = 19
and that it's a right triangle
so that means the other 3rd angle is
A+39+90=180
A= 51°
use SOH CAH TOA to remember how sin cos and tan fit on the triangle
Sin(x)=Opp/Hyp Cos(x)=Adj/Hyp Tan(x)=Opp/Adj
Let's use Tan to find b
Tan(b) = Opp / Adj
Tan(39) = b / 19
19*Tan(39) = b
15.38589... = b
use Pythagoras to find c
c = [tex]\sqrt{a^{2} +b^{2} }[/tex]
c = [tex]\sqrt{19^{2} +15.3858^{2} }[/tex]
c = 24.448....
Related Questions
Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?
Answers
Answer:
5 days
Step-by-step explanation:
Sohan can do the whole thing in 10 days
he worked 5 days so he did half
and Mohan did the other half in 5 days
so their speeds are same
so if they worked together they'd do it in half the time
i.e 5 days
Angie states the following: "Given two triangles, if two pairs of corresponding sides and one pair of corresponding angles are congruent, then the triangles are congruent by Side–Angle–Side (SAS)." Which of the following options best describes Angie's statement?
a Angie is incorrect since SAS is not a congruence criterion that can be used to prove that two triangles are congruent.
b Angie is correct since SAS requires two pairs of congruent sides and one pair of congruent angles.
c Angie is correct since any two pairs of congruent sides and any pair of congruent angles will satisfy the SAS congruence criterion.
d Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.
Answers
Answer: D
Step-by-step explanation:
The answer is letter D, Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS orientation.
Answer:
C.) Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS criterion.
just took the test :)
have a good day
The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.
Answers
Answer:
i will solve it below
Step-by-step explanation:
12.00 + 1.25
13.00
60.00 - 13.00 = 47.00
your welcome
Answer:
$12p plus $1.25s≤60
Step-by-step explanation:
Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answers
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
What is a part to whole ratio?
Answers
Answer:
a ratio that compares a selected number of parts. to the total number of parts in a whole.
Step-by-step explanation:
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school’s football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Answers
Complete Question
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Part A
Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.
Part B
The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?
Answer:
[tex]p=4A-140[/tex]
[tex]T =or 62sec[/tex]
Step-by-step explanation:
From the question we are told that
The width of the field is seventy yards shorter than the length.
a) Generally the equation for width and length is given as
[tex]B=x-70[/tex]
Mathematically in finding the perimeter [tex]p[/tex] around the field
[tex]p=2(A+B)[/tex]
[tex]p=2(2A-70)[/tex]
[tex]p=4A-140[/tex]
b)Generally[tex]A=120[/tex]
Mathematically
[tex]p= 4(120) -140[/tex]
[tex]p=480-140[/tex]
[tex]p= 340[/tex]
Therefore
Yards ran by individual athlete[tex]Y[/tex]
[tex]340*5=1700\\Y=1700[/tex]
Time elapsed in a lap T
[tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]
[tex]T =or \hspace 662sec[/tex]
I need help please
Answers
Help me please 40 points for this math question
Answers
Answer: The answer is C
Step-by-step explanation:
100 points!
Can someone help me? Here are the choices
- associative property of addition
- associative property of multiplication
- commutative property of addition
- commutative property of multiplication
- distributive property
Answers
Translate the following phrase into an expression:
“ the sum of an unknown number and 12”
Answers
Answer:
French: la somme d'un nombre inconnu et 12
Spanish: la suma de un número desconocido y 12
Latin: XII numerus ignotus est et summa
Step-by-step explanation:
For Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? * 1 point Angle A Angle BFor Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? *
Angle A
Angle B
Angle C
Cannot be determined Angle C Cannot be determined
Answers
Answer:
Angle C
Step-by-step explanation:
If x= -6, which inequality is true?
A-5-3x > 10
B-3-5x < -14
C1 - 2x > 13
D2-x<-3
18-34
Answers
Answer:
B
this is because the way the other 3 are set up it just makes it b
A rectangular field is 348 inches long and 7 yards wide. What is the perimeter of the field in feet? plz help me
Answers
Answer:50 feet
Step-by-step explanation:
Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!
Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?
Answers
Answer:
1 3/4 pounds.
Step-by-step explanation:
4 1/2 = 4 2/4
4 2/4 - 2 3/4 = 1 3/4
Answer:
1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket
Step-by-step explanation:
4.5 - 2.75 = 1.75 or 1 3/4
On every three hamburgers that McDonald's makes, they use 9 pickles. What is the ratio of hamburgers to pickles in simplest form?
Answers
Answer:
3 pickles per burger lol
1:3
Step-by-step explanation:
Answer:
3:9
1:3
because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3
if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?
Answers
Answer:
Step-by-step explanation:
f(x)=[tex]e^{x}[/tex]
g(x)= x-4
g∅f(x) = [tex]e^{x}[/tex]-4
Answer:
(g•f)(x)=e^x -4
Step-by-step explanation:
A slow boat to china travels at a constant speed of 17.25 miles per hour for 200 hours. how far was the voyage?
Answers
Answer:
3450 miles
Step-by-step explanation:
Multiply the number 17.25 by 200 since the boat is traveling for 200 hours and each hour is 17.25 miles to get 3450 miles which is your answer.
Answer:
[tex]\boxed {\boxed {\sf 3,450 \ miles}}[/tex]
Step-by-step explanation:
Distance can be found by multiply the speed by the time.
[tex]d=st[/tex]
Where d is the distance, s is the speed, and t is the time.
1. Define Variables
The speed is 17.25 miles per hour and the time is 200 hours.
[tex]s= 17.25 \ mi/hr[/tex]
[tex]t= 200 \ hr[/tex]
2. Calculate Speed
Substitute the values into the formula.
[tex]d=17.25 \ mi/hr * 200 \ hr[/tex]
Multiply. The hours (hr) will cancel each other out and leave miles as the units.
[tex]d=17.25 \ mi *200\\[/tex]
[tex]d=3450 \ mi[/tex]
The voyage was 3,450 miles
Solve. Chanasia has 6.25 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint will Chanasia use?
Answers
Answer: 2.5 gallons
Step-by-step explanation:
Given that:
Gallons of paint had = 6.25 gallons
Amount needed to paint room = 2/5 of the paint
Gallons of paint needed :
2/5 of 6.25
(2 * 6.25) / 5 gallons
= 12.5 / 5
= 2.5 gallons
Find the arithmetic mean between 35 and -9?
Answers
The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answers
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle
Answers
Answer:
1
Step-by-step explanation:
Area of rectangle
lw
So we have to factorise the expression
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+7)(x+6)
So
x+7-(x+6)
x+7-x-6
1
Select the ratio that is equivalent to the ratio 5 to 9.
25 to 9
5 to 45
10 to 36
25 to 45
Answers
Is anyone able to answer this ?
Answers
Answer:
m = -60
b = 300
y = -60x + 300
Step-by-step explanation:
(0,300) and (5,0)
m = y2 - y1/x2 - x1
m = 0 - 300/5 - 0
m = -300/5
m = -60/1
m = -60
y-intercept = b = 300
slope intercept form: y = mx + b
y = mx + b
y = -60x + 300
Answer:
m = -60
b = 300
y = -60x + 300
Step-by-step explanation:
(0,300) and (5,0)
m = y2 - y1/x2 - x1
m = 0 - 300/5 - 0
m = -300/5
m = -60/1
m = -60
y-intercept = b = 300
slope intercept form: y = mx + b
y = mx + b
y = -60x + 300
Please explain how to solve it
Answers
(8x^3)/(27y^6)
(the 3 and the 2 multiply to equal 6)
Hope it helps!
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answers
Answer:
Step-by-step explanation:
1/2
x - 3/5 = 10 what would x be ?
Answers
Answer:
x = 53/5
Step-by-step explanation:
see pic
11 POINTS. ANSWER PLEASEE
Answers
Answer:2 is equal to 18/1 which is 36 divided by 2
Step-by-step explanation:
Answer:
1 is 20/1 or 20 miles per hour
2 is 18/1 or 18 push ups per min
3 is 15/1 or 15 dollars per hour
4 is 50/1 or 50 km per hour
Step-by-step explanation:
divide the numerators by the denominators
I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME
Answers
PLEASE HELP SOLVE THIS!!!!!!!!!!!
Answers
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
530.2 grams divided by 3 then take away 47.36
Answers
Answer:
Should be 129,37333333
Answer:
Step-by-step explanation:first you divide 530.2/3=176.73, then you subtract 47.36=129.37