In ijk,i=170 inches,j=119 and k=42.find the area of ijk,to the nearest square inch
Answers
9514 1404 393
Answer:
25,975 in²
Step-by-step explanation:
Since your j+k < i, we assume that not all of these dimensions are side lengths. If we assume ...
i = 170 in
J = 119°
K = 42°
Then we can find side j using the law of sines.
I = 180° -119° -42° = 19°
Then the law of sines tells us ...
j/sin(J) = i/sin(I)
j = i·sin(J)/sin(I) = (170 in)sin(119°)/sin(19°) = 456.695
Then the area of the triangle is ...
A = (1/2)(i·j·sin(K)) = (1/2)(170 in)(456.695 in)sin(42°) ≈ 25,975.03 in²
The area of triangle IJK is about 25,975 square inches.
Related Questions
Evaluate:
-│-23│ = ____
Answers
Answer:
-23
Step-by-step explanation:
Using the absolute rule,
[tex]\left|-a\right|=a[/tex].
Therefore,
[tex]-|-23|=-23[/tex]
(It becomes 23 first, but then you stick the negative sign after)
One watermelon weighs 3 kg how many kilograms in 100 watermelons weigh
Answers
Answer:
100 watermelons weigh 300kg.
Step-by-step explanation:
100 * 3kg = 300kg
Hope I helped! Have a great day! Feel free to follow me on insta (leo_g_rios), or mark brainliest!!! :D
-XxDeathshotxX
"select all the numbers that are solutions to the equation x^3=27"
Answers
Answer:
x=3
Step-by-step explanation:
So lets try and solve this to find an answer. To do this, lets just think about what makes 27. 3x3x3? Yup. Well wait, whats 3^3? Oh, thats 3x3x3. So this means, x must be 3.
Can x be -3 as well? No, this is because the exponent is odd, and any negative number will still be negative unless the exponent is even.
So in this equation, 3 is the only answer.
ANSWER:
3
a farmer makes a profit of x cents on each of the (x+5) eggs her hen lays. if her total profit was 84 cents find the number of eggs the hen lays
Answers
Given: A farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.
To find: The number of eggs the hen lays.
Solution:
Now we have given that farmer makes a profit of x cents on each of the (x + 5) eggs her hen lays.
That means the farmer has x + 5 eggs, which also means that each egg can make a profit of x percent.
Then the equation formed will be:
x × ( x + 5 ) = 84
x^2 + 5x - 84 = 0
(x - 7) (x + 12) = 0
x = 7 , -12
The positive solution will be considered, so the answer is 7+5 = 12 eggs
Answer:
The number of eggs the hen lays is 12.
What is the length of the unknown leg in the right triangle
Answers
Given:
The figure of a right angle triangle, we hypotenuse [tex]\sqrt{113}[/tex] mi and perpendicular 9 mi.
To find:
The length of the unknown leg in the right triangle.
Solution:
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, we get
[tex](\sqrt{113})^2=(9)^2+a^2[/tex]
[tex]113=81+a^2[/tex]
[tex]113-81=a^2[/tex]
[tex]32=a^2[/tex]
Taking square root on both sides.
[tex]\sqrt{32}=a[/tex]
It is only positive because the side length cannot be negative.
The length of the unknown leg in the right triangle is [tex]\sqrt{32}[/tex] mi.
Therefore, the correct option is B.
10
Determine the unknown side of the similar triangle.
A)
3
B
-
5
D
6
Geonet
Answers
Simplify.
(4w+ 3) - 2w+ 7
O 2 w+ 10
O 2 w- 10
O 6 w+ 10
6 W-10
Answers
Answer:
A 2w+10
Step-by-step explanation:
4w+3-2w+7
2w + 10
Answer and Step-by-step explanation:
To simplify, we must combine the like terms.
4w - 2w + 3 + 7
Combine 4w and -2w, and 3 and 7.
2w + 10
The correct answer choice is the first one. 2w + 10.
#teamtrees #PAW (Plant And Water)
Heather made $209 for 11 hours of work.
At the same rate, how many hours would she have to work to make $171?
Answers
Answer:
9 hours
Step-by-step explanation:
Hi,
11 hours = 209 dollars
Divide 11...
1 hour = 19 dollars
To get from 19 to 171 multiply by 9.
9 hours: 171 dollars.
She has to work 9 hours.
I hope this helps :)
Answer:
9 hours
Step-by-step explanation:
rate: $209/h11 = $19 per 1 hour
How many hours?: 171/19 = 9 hours
HELP PLEASE !
Use the function f(x)=-3(x+1)^2+18
Answers
Which of the following could be the answer to a statistical question?
А 10
B Yes
C "December 18th"
D 2. 18. 32. and 40"
help I will mark you
Answers
Answer:
the solution would be 10 to the best of my knowledge
Tasa is playing a game with 2 different types of fair geometric objects. One object has 8 faces numbered 1 to 8. The other object has 6 faces labeled M, N, O, P, Q, and R. What is the probability of rolling a number greater than 3 and the letter R on the first roll of both objects?
A. 1/14
B. 5/48
C. 1/4
D. 43/48
Answers
Answer:
I think the answer should be A.
What is the perimeter of the quadrilateral ABCD ?
11
B.
А
8
.C
D
O
24
38
O
33
o
35
Answers
Answer:
option d. perimeter of quadrilateral=35
Daisy earned $2500 working a summer job. She wants to save and invest the money so she can
purchase a car in five years. If she invests the money at an interest rate of 3% compounded
yearly. How much money will she have at the end of five years? Write an equation to represent
the amount of money she'll have after five years.
Answers
What is the volume of the prism? (4 points)
A rectangular prism with cubic units arranged in five rows of four. Each cubic unit is one cubic inch.
a
10 cubic inches
b
20 cubic inches
c
40 cubic inches
d
80 cubic inches
Answers
Answer:
C
Step-by-step explanation:
40 Cubic Inches - Count all of them and find the sum which is, (40 CUBIC INCHES)
Put the quadratic equation y=4x^2-24x+5 into vertex form by completing the square then state the coordinates of the vertex.
Answers
Answer:
(3, -31)
Step-by-step explanation:
Factor 4 out of the first two terms:
y=4x^2-24x+5 becomes y=4(x^2 - 6x) +5
Next, complete the square of (x^2 - 6x): It is x^2 - 6x + 9 - 9
Insert this into y=4(x^2 - 6x) +5 in place of x^2 - 6x:
y=4(x^2 - 6x) +5 => y=4(x^2 - 6x + 9 - 9) +5, or
y=4( (x - 3)^2 - 9 ) + 5, or
y = 4(x - 3)^2 - 36 + 5, or:
y = 4(x - 3)^2 - 31
Compare this to: y = a(x - h)^2 + k
We see that the coordinates of the vertex (h, k) are (3, -31), and that a = 4.
If 2/x = (-4/x+6^9) what is x/2
a.-1
b.4
c.6
d.1
Answers
Answer:
B
Step-by-step explanation:
i think because I searched it
PLEASE HELP ( i'll give 10 points and brainiest to whoever gets it right! )
Answers
Answer:
1/48
Step-by-step explanation:
For the left spinner, there are 8 equal slots and one of which is 6. The probabililty of landing on just six would be 1/8.
For the right spinner, there are 6 equal slots and one of which is C. The probability of landing on just C would be 1/6.
Now when we try to get to spin both of them at the same time we need to multiply the probabilities of both:
1/8*1/6=1/48
Hope this helps!
Answer:
Step-by-step explanation:
the probability is 1/48 because
to get a number 6 is a 1/8 percent chance.
the get the letter C is a 1/6 percent chance
you multiply 1/6 and 1/8 to get the probability of 1/48
If a teacher asks you to elaborate more in a reflection, which of the following is he or she asking you
do?
give more detail
use more adverbs lengthen sentences
add contractions
Answers
Which sets of side lengths could form a triangle? Choose all that apply.
4cm, 6cm, 9cm
3cm, 4cm. 9cm
4cm, 5cm, 9cm
5cm, 5cm, 9cm
3cm, 6cm, 9cm
Answers
Answer:
4, 6, 9 and 5, 5, 9
Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft. These machines are then packed into a delivery truck with dimensions of 30 ft x 15 ft x 12½ ft.
What is the volume of the delivery truck? please show work
How many washing machines can be packed into the delivery truck? show work please
Answers
Answer:
37.5
Step-by-step explanation:
Volume of the washing machine = 5 ft x 5 ft x 6 ft
= 150 ft³
Volume of the delivery truck = 30 ft x 15 ft x 12½ ft
= 5,625 ft³
How many washing machines can be packed into the delivery truck?
Number of washing machine in the truck = Volume of the delivery truck / Volume of the washing machine
= 5,625 ft³ / 150 ft³
= 37 1/2
Or
= 37.5
The regulation height of a basketball hoop is 10 feet above the court floor. On a scale model of a basketball court the height of the hoop is 5 inches from the court floor. What is the scale of the model
Answers
Answer:
1 : 2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
10 / 5 = 2
1 inch represent 2 feet
Translate the following phrase to an expression: the product of a number and 2.
Evaluate the expression for n = 18
Answers
Answer:
36
Step-by-step explanation:
2*n = what the expression says.
2*18 = 36 is the answer to n = 18
Whatever value is given to n you just multiply it by 2.
What is the measure of ∠ZXW in the diagram below?
Answers
Answer:
I tuhnk it's C which is 117
Step-by-step explanation:
I got 117 by 85 degrees adding 32 degrees which I got 117 degrees.
Suppose f(x) = x^2 and g(x) =4x^2. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
B. The graph of g(x) is the graph of f(x) vertically compressed by a factor of 4.
C. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) shifter 4 units left.
Answers
Answer:
B
Step-by-step explanation:
Carly went to walk her dog at 11:45 a.m. and got back home at 12:30 p.m. How long
was her walk
Answers
Answer:
45 minutes
Step-by-step explanation:
A pool contained 135 gallons of water water leaked out of the pool at a rate of 15 gallons every 3 minutes how many minutes did it take for all 135 gallons of water to leak out of the pool
Answers
27 min
Step-by-step explanation: leaking speed is 15 gal/ 3 min = 5 gal/min
Time is 135 gal: 5gal/min
Find each measurement indicated.
Round your answers to the nearest
tenth.
Find XY
Z
107°
11
30°
Y
X
A) 20
C) 21
B) 18
D) 24
Answers
Answer:
D) 24
explanation:
Sana makatulong
Please Help!!
Given: ABCD is a parallelogram.
Prove: AB is congruent to CD and BC is congruent to DA.
Answers
AB=CD...opposite sides ||
BC=AD...opposite sides ||
Answer:
yw edg
Step-by-step explanation:
5. It cost David $93.00 to board his dog at
a kennel for 5 nights. At that rate, how
much would David be charged if he
boarded his dog for 7 nights?
A $130.20
B $225.20
c $450.30
D $651.00
Answer Quick PLZZ you will be brainless no website
Answers
x 2 +2x+y 2 =0 what is the center and radius of the circle?
Answers
Center = (-1,0) Radius= 1
when you complete the square your equation should look something like
(x²+2x+1) (y²+0) = 1.The 1 on the left side coming from (b/2)² which is (2/2)² which equals 1 and whatever you add to one side, you have to add to the other so when you add 0+1 you get the 1 on the right side. Then factor or use the (b/2) from earlier without the ² so you should get (x²+1) + (y²+0) = 1. Flip the sign so you have negative 1 and 0. For the radius, square the right side and of course, [tex]\sqrt{1}[/tex] is simply 1 so your radius is 1. A lot of 1's huh? lol at least it makes the operations nice and simple :)