Answer:
obtuse
Step-by-step explanation:
45^2 = 2025
42^2 = 1764
13^2 = 169
169+1764=1933
2025 > 1933
therefore it is an obtuse triangle
Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the top of the opposing wall is 20° and the angle of depression to the bottom of the opposing wall is 320 feet. Using the appropriate right triangle solving strategies, solve for the following: (Do not round intermediate calculated values. Only the final answer should be rounded to one decimal place.)
Answer:
x is approximately 226.3 feet
y is approximately 308.6 feet
z is approximately 226.3 feet
Step-by-step explanation:
The given parameters of the walls are;
The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°
From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°
The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet
x = The height of the shorter wall = l × sin(θ₂)
∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet
∴ x ≈ 226.3 feet
By observation, we have;
y = x + z × tan(θ₁)
Where;
z = l × cos(θ₂)
∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6
y ≈ 308.6 feet
z = l × cos(θ₂)
∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3
z ≈ 226.3 feet.
Find the value of the trigonometric ratio.simply the fraction if needed.
Answer:
Cos A = Adjacent / hypochondrium
Cos A= 9/ 41
pls pls pls help me answer this quickly
Answer:
768
Step-by-step explanation:
(8×8×10)+(8×8×6/3)
= 640+128
= 768
Answered by GAUTHMATH
Find area of the cross section of the dam pictured below
Answer:
(w + h cotθ)hStep-by-step explanation:
Cross section is the isosceles trapezoid.
Area of trapezoid:
A = 1/2(a + b)hWe have one of the bases and the height.
Let the difference of the base lengths is x.
We have:
(x/2)/h = cot θ ⇒ x = 2h cot θThe area is:
A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)hwhat is percent of a number
Step-by-step explanation:
a fraction of a number out of 100%
Answer and step-by-step explanation:
Percent (%) means per 100
A percentage is a number or ratio expressed as a fraction of 100
Example 50% of 8 = 8*50/100 = 4
Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.
Let y = the total amount of money Justin has, and x is in weeks.
What is the main purpose of closing entries for revenues and expenses into Profit and Loss Summary? a. To determine the profit for period. b. To transfer the journalised entries to relevant ledger account. c. To check the accuracy of journal entries. d. To provide information of business ability to repay for the debt.
Answer:
A
Step-by-step explanation:
Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.
Joan is cutting a roll of ribbon to be used as bows on gifts. If each bow takes 7/8 of a metre of ribbon and Joan has 7 m total of ribbon, how many bows can be made?
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
i need help ASAP. troll answers WILL be deleted.
(-2, -3) || -3 + -2 < -5 || -5 < -5 || FALSE
(-4, -2) || -2 + -4 < -5 || -6 < -5 || TRUE
(-3, -2) || -2 + -3 < -5 || -5 < -5 || FALSE
(-1, -3) || -3 + -1 < -5 || -4 < -5 || FALSE
Correct Answer: (-4, -2)
Hope this helps!
Answer:
(-1,-3)
Step-by-step explanation:
(x,y)
it's not hard just plug in the coordinates for x and y ;-;
-2 is x, -3 is y
-3+-2<-5
-5<-5? false.
-4 is x, -2 is y
-2+-4<-5
-6<-5? false.
-3 is x, -2 is y
-3+-2<-5
-5<-5? false
-1 is x, -3 is y
-1+-3<-5
-4<-5? true
hopefully you found out the pattern in how to do this if you did not know. or if you simply were too l a z y to do it urself I understand that as well. have a great day!
Solve for x.
A) - 9
C) -5
B) -11
D) 10
Answer: D) 10
Step-by-step explanation:
All angles in a triangle adds up to 180°
60° + 50° + 7x = 180°
7x = 180° - 60° - 50° = 180°- 110° = 70°
x = (70 ÷ 7)° = 10°
Add. Simplify the answer and write it as a mixed number. 1/2+2/3+1/6
Answer:
1 1/3
Step-by-step explanation:
Find the common denominator of all three which is 6.
Then multiply each to make the common denominator 6
1/2*3 = 3/6
2/3*2 = 4/6
1/6*1 = 1/6
Then add all of them together
3/6+4/6+1/6 = 1 2/6
Simplified equals 1 1/3
a) 61°
b) 29°
C) 40°
d) 50°
Answer:
29 degrees (~0.506 rad)
This one is giving me trouble, I need help on it
What is the domain of the function graphed below?
Answer:
x≤7
Step-by-step explanation:
i hope it will help
===============================================
Explanation:
The drawing is fairly faint, but it appears there's an arrow pointing to the left at the location (-6,3). If this is the case, then the function curve continues on forever in that direction.
The domain is the set of allowed x values. If we were to place the pencil on the blue curve and shade the x axis directly above or below that pencil point, then we would effectively shade everything to the left of x = 7.
In other words, we would shade x < 7 on the number line. The value x = 7 itself is left out due to the open hole.
Again, this all assumes that there is an arrow at (-6,3) that points to the left.
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
Name the quadrant or axis where the point (4.-6) is located.
Answer:
Step-by-step explanation:
(4, -6) is in quadrant IV , (quadrant 4)
Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)
Answer:
A. (2,5), (3,6), (6,9)
Step-by-step explanation:
In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.
I need help!!! please help me!!!
Answer:
um ok the laiyflylfug;ou;
Step-by-step explanation:
B. Jennifer needs new trim around the base boards.
How much trim does she need?
What assumptions do you make?
Find the length of the side and area ot the square whose perimeter is given below a)44cm b)80cm
9514 1404 393
Answer:
a) 11 cm
b) 20 cm
Step-by-step explanation:
A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.
a) s = (1/4)(44 cm) = 11 cm
b) s = (1/4)(80 cm) = 20 cm
Is -46.2 a irrational number
Answer:
No
Step-by-step explanation:
irrational numbers have nonrepeating and non terminating decimals
This decimal stops at one digit so this is a rational number
Answer:
I would say no
Step-by-step explanation:
An irrational number can't be written as a simple fraction.
Find the area of given figure: 6cm 2cm 3cm 1cm
Answer:
12cm²
Step-by-step explanation:
separate it to two parts, rect and square
rect- 3cm×1cm =3cm²
square- 3cm×3cm =9cm²
then, 3cm²+9cm²=12cm²
Understanding Transversals
Use the diagram to complete the statements. (please helpp)
Answer:
Step-by-step explanation:
The price of an item increased by 25 percent. if the price of the item after the increase is 2.00. What was the original price? (Show your work)
A. 1.50
B. 1.60
C. 1.75
D. 2.50
E. 3.20
Let the original price = x
From X to get the new price you multiply by 1 + the percent of the increase which is 25%
1,25X = 2.00
Divide both sides by 1.25:
X = 1.60
The original price was B. 1.60
Answer:
x=1.60
Step-by-step explanation:
Let x be the original price
We increase by 25%
x+ .25x = new price
1.25x = 200
Divide each side by 1.25
x = 2.00/1.25
x=1.60
please help! i have no idea
Answer:
θ = 51.7
SOH-CAH-TOA
CAH: COS = ADJ/HYP cos(θ) = 19.4/29.3
θ = 48.5
93.2 + 48.5 + x = 180
x = 38.3
90 + 38.3 + θ = 180
θ = 51.7
Step-by-step explanation:
Please help me answer it right
Answer: B
Step-by-step explanation:
3/4 x 4/4 = 12/16
Answer:
12/16
Step-by-step explanation:
16 is a multiple of 4, so using the scale factor of 16 and 4, you can solve to find the numerator.
16 / 4 = 4
3 × 4 = 12
The answer is 12/16.
Hope this helps.
1. Determine the measure of the unknown angles indicated by letters. Justify your answers with
the properties or theorems you used
Answer:
hello,
Step-by-step explanation:
a)
In an isocele triangle, base's angles have the measure:
42+2a=180
2a=180-42
a=69(°)
b)
in a triangle, an external angle has for measure the sum of the angles not adjacents.
55+b=132
b=77 (°)
c)
in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.
90+90+68+c=360
c=360-90-90-68
c=112 (°)
What are the solutions to the system of equations graphed below?
Answer:
The answer is B (4, 8) and (0, -8)
please help, is associated with angles. thank u :)
Answer:
Step-by-step explanation:
Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,
75 = 4x + 7 and
68 = 4x so
x = 17
Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *
hi my name how are you home work sind
PLEASE HELP, solve for X
Answer:
27
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(48+x) * 48 = 60^2
(48+x)48=3600
Divide each side by 48
48+x =75
Subtract 48
48+x-48 = 75-48
x =27
