Answer:
x = 63.5°
Step-by-step explanation:
To find the value of x in the given right triangle, we would apply trigonometric function.
Reference angle = x
Side length Opposite to x = 17
Hypotenuse length = 19
Apply SOH:
[tex] sin(x) = \frac{Opp}{Hyp} [/tex]
[tex] sin(x) = \frac{17}{19} [/tex]
[tex] x = sin^{-1}(\frac{17}{19}) [/tex]
x = 63.474648° ≈ 63.5° (nearest tenth)
the pounds p of the flour and how many cakes c you can make
Answer:
How many pounds of flour do you have and how many pounds of flour it takes to make a cake?
Step-by-step explanation:
Find the value of x to the nearest tenth! HELP ME!!!!!!!!!!!!! (PICTURE IS BELOW)
Answer:
11.4
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]
Work out (5 x 10^3) (9 x 10^7)
Give your answer in standard form.
Answer:
(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10
Pls help. Im so lost.
Answer:
x = 35 degrees
Step-by-step explanation:
supplementary angles = 180 degrees
m<A + m<B = 180
(2x - 5) + 3x = 180
5x - 5 = 180
5x = 175
x = 35
Is this a rational number
Answer:
Note that it is not a perfectly elastic result so it is irrational
Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?
Answer:
after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.
6/15=3/x
HELPP PLEASE
Answer:
15/2 or 7.5 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{6}{15} = \frac{3}{x}[/tex]
simply cross multiply
[tex]6x = 45[/tex]
divide both sides by 6
[tex]\frac{6x}{6} = \frac{45}{6}[/tex]
hence x will be equal to [tex]7.5[/tex]
Is it required to for it to be in decimals?
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Answer:
dfffffdf
Step-by-step explanation:
the perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
A.) 4x+3/2y
B.) 8x+3y
C.) 8x+10y
D.) 4x+3y
Answer:
A
Step-by-step explanation:
Length : [tex]\frac{7x}{2} + 7y[/tex]
Perimeter: [tex]15x + 17y[/tex]
Perimeter = 2(Length + Width)
15x + 17y = 2( [tex]\frac{7x}{2} + 7y[/tex] + Width)
15x + 17y = 7x + 14y + 2(Width)
15x + 17y -7x -14y = 2(Width)
8x + 3y = 2(Width)
Width = [tex]\frac{8x + 3y}{2}[/tex]
Width = 4x + 3y/2
The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.
984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004
Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014
Answer:
Kindly check attached picture ;
(999.494 ; 1046.056) ;
(1003.235 ; 1042.315)
Step-by-step explanation:
Given the data:
888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260
Using calculator to obtain the mean and standard deviation :
Mean, x = 1022.775
Standard deviation, s = 75.124
Sample size, n = 40
Zcritical at 95% = 1.96
Zcritical at 90% = 1.645
Using the relation :
x ± E
E = error margin = Zcritical * s / sqrt(n)
At 95% ;
Error margin = 1.96 * 75.124/ sqrt(40) = 23.281
At 90% ;
Error margin = 1.645 * 75.124/ sqrt(40) = 19.540
Confidence interval at 95%:
(1022.775 - 23.281) ;(1022.775 + 23.281)
(999.494 ; 1046.056)
Confidence interval at 90%:
(1022.775 - 19.540) ;(1022.775 + 19.540)
(1003.235 ; 1042.315)
Anastasia went shopping for birthday gifts and bought three of the same board game. She also spent $9.75 on birthday cards. Anastasia spent a total of $69.60. What was the price of each board game?
the mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
[tex]64[/tex]cm³
Step-by-step explanation:
[tex]8 \times 2 \times 4 \\ = 64[/tex]
Answer:
64
Step-by-step explanation:
Hello There!
The formula for volume of a rectangular prism is
[tex]V=lwh[/tex]
where w = width
l = length
h = height
They give us the following dimensions
height = 4
width = 2
length = 8
all we have to do is plug in the values
[tex]V=2(4)8\\2*4=8\\8*8=64\\V=64[/tex]
Thus the answer is 64
What is the product?
One-third times 33.99
Answer:
11.33
Step-by-step explanation:
um I'm not that good at explaining but...
33/3=11
99/3=33
put it together
11.33
help me pls. answer correct
Answer:
1st answer is
[tex](x.y) = ( \frac{38}{5} . \frac{2}{5} ) \\ [/tex]
2nd answer is (x, y) =(36, 45)
The diameter of a circle is 3 meters. What is the circumference?
Answer:
C≈9.42m
Using any of this formulas
C=2πr
C=2πrd=2r
Solution:
C=πd=π·3≈9.42478m
Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2
Vertex ( ?,?)
y-intercept: ?
Answer:
Step-by-step explanation:
y = (x-1)²
vertex (1,0)
y-intercept = (0-1)² = 1
what is the volume of a rectangular prism wi the the dimensions3 base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that the:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
Item 16
Find the perimeter of the figure to the nearest hundredth. due today
Answer:
42.84 cm
Step-by-step explanation:
1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm
2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm
3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm
choose all answers that apply
Answer:
none of the above
Step-by-step explanation:
An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.
Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?
What is 0.11 / 22.77
Answer:
is your answer
0.00483091
Step-by-step explanation:
Item 5
Which measure of central tendency best describes the data?
47, 47, 48, 54, 102, 45, 100, 48, 83
either mean or median
median only
mean only
Answer:
the answer is either mean or median because you can find both of them given the data
What is the equation of this trend line?
Enter your answers by filling in the boxes.
K= J+
Answer:
K = -2 J = 28
Step-by-step explanation:
I took the k12 test
Answer:
The answer is K=-2 J+24.
Step-by-step explanation:
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?
Answer:
$15.20
Step-by-step explanation:
When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.
56.80 + 19.20 = 76
76 ÷ 5 = 15.20
Thus the mean cost is $15.20
Hope this helped!
(8x + 11x) + (-7 - 18)
Answer:
19x - 25
steps:
(8x + 11x) + (-7 - 18)
19x + (-25)
positive x negative = negative
19x - 25
Answer:
19x - 25
Step-by-step explanation:
(8x + 11x) + (-7 - 18) <------- add the bold ones (combine like terms)...
19x + (-7 - 18) <--------------- subtract the bold ones...
(19x) - 25 <-------------------- eliminate parenthases
19x - 25 <--------------------- solution...
Need help ASAP for exam!!!Solve for x. Just type the NUMBER with no spaces. It will be marked wrong if you don't. If you want to write a square root, for example square root of 5
Answer:
Step-by-step explanation:
how do i solve this?
Answer:
m∠R = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
Step 2: Solve
Substitute in variables [sine]: [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex][Equality Property] Trig inverse: [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]Evaluate trig: [tex]\displaystyle R = 60^\circ[/tex]