Given: angle 1 and angle 2 are complementary , angle 2 = 74 degrees Prove: angle 2 = 16 degrees
Answer:
I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?
Step-by-step explanation:
Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
2040
&Go do no cheat or dis
Answer: 4(11+12)
Step-by-step : don't ask why I'm even answering this
In fixed deposit, a bank gives 10% interest compounded annually for senior citizens. How many complete years will it take for a sum of money to be more than double.
Answer: 8 years
Step-by-step explanation:
You can find this out use the Rule of 72. By dividing 72 by the fixed interest rate, you can estimate the amount of time it will take for an investment to double in size:
= 72/10
= 7.2 years
= 8 complete years
Example:
Assume they invested $1,000. Interest rate is 10%.
Amount after 8 years will be:
= 1,000 * (1 + 10%)⁸
=$2,143.59
Investment is now more than double.
find the area of the shaded portion the one who answer first will get brainliest
Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )
Answer:
[tex]A_s=76.97\ cm^2[/tex]
Step-by-step explanation:
Circular Sector
It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:
[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]
Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:
[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]
The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:
[tex]A_s=A_1-A_2[/tex]
The larger area is calculated with a radius of r1=14 cm:
[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]
[tex]\displaystyle A_1=102.626\ cm^2[/tex]
The smaller area is calculated with r2=7 cm:
[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]
[tex]\displaystyle A_2=25.656\ cm^2[/tex]
The shaded area is:
[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]
[tex]\boxed{A_s=76.97\ cm^2}[/tex]
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answer:
B
Step-by-step explanation:
A value is decrease by 92% for a new value of 13.12 find the original value
Step-by-step explanation:
Decreased by 92% = 8% of original
8% of original value = New value = 13.12
100% of original value = 13.12 * (100/8) = 164.
The original value is 164.
7
Express 40 cm as a percentage of 5 m.
Answer:
40 cm is 8% of 5 m
Step-by-step explanation:
40 cm / 5m
= 40cm / 500cm
= 4/50
= 2/25
= 8%
Jamie is helping out in the school library. He needs to figure out how many shelves the library staff should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on shelves. How many shelves should the library order?
Answer:
8 shelves
Step-by-step explanation:
First do 378 divided by 50 then you when you get your answer (with remaining numbers) you add one more book case so 378 divided by 50 is 7 then you have a remainder 28 so add another shelf which is now 8 shelves!
PLEASE IM BEGGING MAN I DONT WANNA FAIL MATH PLEASE HELP ME
Pls help me. It due ASAP...
Answer:
b
Step-by-step explanation:
at basketball camp kylie made 18% of her free throws based on this information which is the best prediction of the number of free throws she will make out of 50 attempts
Answer:
Number of free throws = 9
Step-by-step explanation:
Given that:
Kylie made 18% of her free throws.
Number of attempts = 50
Based on the information, she will make out 18% free throws.
Number of free throws = 18% of 50
Number of free throws = [tex]\frac{18}{100}*50[/tex]
Number of free throws = 0.18 * 50
Number of free throws = 9
Hence,
Number of free throws = 9
Select the proper unit multiplier to use when converting 6 ounces to pounds. PLEASE PICK ONE AND ILL GIVE BRAINLIEST
16 oz / 1 lb
16 lb / 1 oz
1 oz / 16 lb
1 lb / 16 oz
none of the above.
Answer:
16oz / 1 lb
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
Help pls it math !!!!
Answer:
C. CD and DH
D. EH and GH
F. AD and DH
H. AB and BC
K. FG and EF
Step-by-step explanation:
hope this helps
what is the rate of change ?
y=-5x-3
Answer:
the rate of change is -5.
Step-by-step explanation:
y = -5x - 3
-5 = rate of change
-3 = x intercept
help me plz will mark brainliest (final project btw)
Answer:
Angle 1: 68
Angle 2: 136
Angle 3: 46
A rope was tied up so that it was only 7 inches long. When the rope is untied, it is 4 times as long. How many inches long is the rope when it is untied?
Answer:
28 inches long
Step-by-step explanation:
just multiply 7 and 4
Find the slope of the line that contains the points (3, -4) and (-1, 5)
Answer:
m = -9/4
Step-by-step explanation:
Hope this helps!
Tres maquinas (A,B,C) producen el 40 % , 35% y 25 % respectivamente , del total de las piezas manufacturadas en una fabrica .Los porcentajes de produccion defectuosa de estas maquinas son del 3% 4 % y 5 % respectivamente
Answer:
La probabilidad de que la pieza elegida sea defectuosa, P(D), 0.0385
La máquina con mayor probabilidad de haber producido la pieza defectuosa es A
Step-by-step explanation:
Sea D= "la pieza es defectuosa" y N= "la pieza no es defectuosa". La información del problema puede expresarse en el diagrama de árbol adjunto.
Para calcular la probabilidad de que la pieza elegida sea defectuosa, P(D), por la propiedad de la probabilidad total,
P(D) = P(A) · P(D/A) + P(B) · P(D/B) + P(C) · P(D/C) =
= 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05 = 0.0385
Debemos calcular P(B/D). Por el teorema de Bayes,
P(B/D)= P(B) x P(D/B) / P(A) x P(D/A) + P(B) x P(D/B) +P(C) x P(D/C)
= 0.35 · 0.04 / 0.40 · 0.03 + 0.35 · 0.04 + 0.25 · 0.05
Calculamos P(A/D) y P(C/D), comparándolas con el valor de P(B/D) ya calculado. Aplicando el teorema de Bayes, obtenemos:
0.012
0.0385
P(A/D)= 0.311
0.014
0.0385
P(B(D)=0.363
0.0125
0.0385
P(C/D)=0.324
La máquina con mayor probabilidad de haber producido la pieza defectuosa es A
10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit
PLEASE HELP!!
what is true about the graph of the line y= -3x + 4?
a) the line has a slope of 4
b) the line has a slope of -4
c) the line crosses the y-axis below the origin
d) the line crosses the y-axis above the origin
Answer:
d) the line crosses the y-axis above the origin
Step-by-step explanation:
your welcome
Can someone help me? I dont really know how to do this?
Answer:
54
Step-by-step explanation:
x+2x+2x=5x
90/5=18
18*3=54
Answer:
The answer is 54.
Step-by-step explanation:
Ok buddy
‣Remember that a right angle equals 90 degrees.
‣The numbers lie on a right angle.
‣So watchya gonna do is combine the like terms.
[tex]x + 2x + 2x = 5x[/tex]
‣In an equation, that finna look like:
[tex]5x = 90[/tex]
‣Solve that equation
[tex] \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18[/tex]
‣Therefore, the value of x is 18.
‣We trynna find 3x so plug it.
[tex]3x \\ 3(18) \\ 54[/tex]
‣That fr is the answer, 54.
hi can someone please help me
Answer:
Volume = 1436.8 cm³
Step-by-step explanation:
Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
For a sphere which has the radius = 7 cm
Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]
= 1436.76
≈ 1436.8 cm³
Therefore, volume of the sphere is 1436.8 cm³.
Only answer the part where it says her bonus will be______
Answer:
her bonus will be a big paycheck of 99999
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
PLEASE help me with this!
what is 2/3 ÷ 3/4 I really need help
Answer:
8/9
Step-by-step explanation:
2/3 ÷ 3/4
2*4/(3*3)
8/9
Emma needs 2 pounds of ground meat to make a meatloaf. She goes to Brodies and finds one package of meatloaf with 2.56 pounds and another package with 2.09 pounds. She uses rounding to the nearest whole. Which package should she choose to get closer to 2 pounds? Explain.
Answer:
package with 2.09 pounds
Step-by-step explanation:
When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.
to round 2.56 to the nearest whole number equals 3.
While to round 2.09 to the nearest whole number equals 2.
Because Emma needs 2 pounds, she would go with 2.09 pounds
Jeremy is plotting a line with a slope of 3. He starts by plotting the point (-4,-3). He then plots a second point on the line 6 units to the right, and k units up. His value of k must be a. 9 b. 18 c. 2 d. 24
Answer:
27
Step-by-step explanation:
Slope = 3
(-4, - 3) (6, k)
(y2 - y1) /(x2 - x1) = 3
(k + 3) / (6 + 4) = 3
(k +3) / 10 = 3
k + 3 = 30
k = 30 - 3
k = 27
