Answer/Step-by-step explanation:
1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:
Area of shaded region = area of triangle - area of rectangle
Area of shaded region = ½*base*height - length*width
1. a. Volume of triangular prism = area of triangular base * height of prism
Volume of triangular prism = ½bh * H
Where,
b = 6 m
h = 4 m
H = 8 m
Substitute
Volume of prism = ½*6*4*8
Volume of prism = 96 m³
b. Volume of sphere = ⁴/3πr³
Where,
r = 9 cm
Substitute
Volume = ⁴/3*π*9³
Volume = ⁴/3*π*729
Volume ≈ 3,053.6 cm³ (nearest tenth)
2. Use Pythagorean theorem to find the height of the cone
radius of the cone (r) = ½(16) = 8 cm
Slant height (l) = 11 cm
height (h) = ?
Using Pythagorean theorem, we have:
h = √(l² - r²)
Substitute
h = √(11² - 8²)
h = √(57)
h ≈ 7.5 cm (nearest tenth)
b. Volume of the cone = ⅓πr²h
where,
r = 8 cm
h = 7.5 cm
Volume = ⅓*π*8²*7.5
Volume = 502.7 cm³ (nearest tenth)
In an arithmetic sequence, the first term is 5 and the third term is -5. What is the 20th term?
Answer:
-115
Step-by-step explanation:
Thus with the sequence /question numbers are reducing by 5 .
Someone please help me!!!!!
Answer:
B is going to be half the intercepted arc
<ABC = 80
<CAB = 55
mARC(AB) = 90
mARC(BC) = 110
Step-by-step explanation:
Can someone help me out
sat prep find the value of x in each of the following exercises
Answer:
x=70
Step-by-step explanation:
Since the lines are parallel, we know angle y
60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel
y=60
The sum of the angles of the triangle are 180
x+y = 50 =180
x+60+50 =180
x+110 = 180
x = 180-110
x = 70
Answer:
x=70 degrees!!!
Step-by-step explanation:
Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.
Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:
x + y + 50 = 180
Since we know y = 60°, we can substitute the value and simplify:
x + 60 + 50 = 180
Combining like terms:
x + 110 = 180
To find x, we subtract 110 from both sides:
x = 180 - 110
After calculation, we get:
x = 70°
Therefore, the measure of angle x is 70°.
.
8. Tianna and Liam charge for tutoring.
Tianna's charges a base fee of $40, and $10 per hour of tutoring.
Liam charges $20 per hour of tutoring.
a. State an algebraic model for each tutor to represent the relationship between the total charge and
time. Use C to represent total charge ($) and t for time (hours).
.
How to do this???????
Answer:
x=14
Step-by-step explanation:
Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve
2x=x+14
x=14
then you can plug it back in to check if you want
2(14)-9 = 19
14+5 = 19
Answer:
14
Step-by-step explanation:
2x-9=x+5 (being isosceles triange)
2x-x=5+9
x=14
hope u understood
whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000
Answer:
249,842
Step-by-step explanation:
to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power
12^5 + 1 + 9 + 1000
248,832 + 1 + 9 + 1000
248,832 + 1010 = 249,842
go to gauthmath's sub reddit if needing more things ^^
Answer: 249842
Step-by-step explanation: when 12 multiplies it self 5 times
[tex]12^{5}[/tex]
=248832
Addition of 1,9 and 1000
=1 + 9 + 1000
=1010
Sum total = 248832 +1010
=249842
OR
12×12×12×12×12+1+9+1000
=249842
Find the measure of one exterior angle for the following regular polygon.
Answer:
40 degrees
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 (n = Number of sides)
in this scenario you have 9 sides so put it in the equation.
(9 - 2) ×180 = 1260
1260 is the sum of all the interior angles so we must divide this number by the number of sides to get the angle of one individual interior angle.
1260/9 = 140
180-140 = 40 degrees
Someone help on these
Problem 5
Start with the 30-60-90 triangle template
If you divide all values in that template by 2, then you'll get the diagram shown below.
Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2
So that diagram shows that cos(30) = sqrt(3)/2
Answer: Choice A) 30 degrees===========================================================
Problem 6
Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive
tan = sin/cos = negative/negative = positive
So tangent is positive in Q3
Answer: Choice C) tangent===========================================================
Problem 7
Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.
So,
cos(170) = cos(-170)
Then we'll find a coterminal angle of -170 which involves adding on 360
-170+360 = 190
The angles -170 and 190 point in the exact same direction
This then means cos(170) = cos(-170) = cos(190)
Or in short, cos(170) = cos(190)
Answer: Choice A) cos(190)Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis
Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
Which will result in a difference of squares?
a
(negative 7 x + 4)(negative 7 x + 4)
b
(negative 7 x + 4)(7 x minus 4)
c
(negative 7 x + 4)(negative 7 x minus 4)
d
(negative 7 x + 4)(4 minus 7 x)
Answer:
C
Step-by-step explanation:
The correct answer is C, love from Gauthmath
Answer:
the correct answer is option C
Step-by-step explanation:
(negative 7 x + 4)(negative 7 x minus 4)
indentify the explicit function for the sequence in the table
Answer:
Option B
a(n) = 8 + (n-1) • 6
Answered by GAUTHMATH
Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
Which of the following is a factor of 6x^3 + 6?
Answer:
x + 1
Step-by-step explanation:
Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)
HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48
I HOPE IT WILL HELP YOU. I DID HOW I KNOW .
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She saved $168 so what amt of money did her father give
Answer:
if Im correct it should be $8.40
Step-by-step explanation:
why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe
b) If x² + 11x +k can be factored then the one value of k could be
(pls answer me?)
using the format that
b²=4ac
where b=11 a=1 c=k
(11)²=4×1×k
121=4k
k=30.25
Answer:
10, 18, 24, 28, 30
Step-by-step explanation:
Using the sum product pattern you find all numbers with factors that add up to 11. hope this helps :)
A man invested a certain amount of money in a bank at a simple interest rate of 5percent per annum. At the end of the year, his total amount un the bank was GHC 840,000.00. How much sid he invest in the bank.
Answer: He invested 8,00,000.
Step-by-step explanation:
R = 5%
A = 840,000
T = 1 year
so
so
I = A-P
so
I = PTR/100
or, A-P = (p*1*5)/100
or, 840,000-P = 5p/100
or, 8,40,00,000-100P = 5p
or, 8,40,00,000 = 105P
so, p = 8,40,8,40,00,000
so, P = 8,00,000
Given the quadratic equation (x + p)²=49,where p is a constant,find the values of p if one of the roots of the equation is 4.
Pls help me,will mark as the brainliest.
Answer:
-11, 3
Step-by-step explanation:
We know one of the roots are
[tex](x+ 4) {}^{2} = 49[/tex]
[tex]x + 4 = - 7[/tex]
[tex]x + 4 = 7[/tex]
[tex]x = - 11[/tex]
or
[tex]x = 3[/tex]
Setting y = 0 allows you to determine the what
of a graph
[tex]y=0[/tex] allows you to determine the x-intercept of a graph.
x-intercept and y-intercept:The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept. Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.When y is 0, the x-intercept is reached. The graph's intersection with the y-axis, or (0, b), is known as the y-intercept. When x is 0, the y-intercept is reached. When y is 0, the x-intercept is reached.Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.
Know more about x-intercept and y-intercept here:
https://brainly.com/question/24363347
#SPJ2
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)
Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.
Answer:
0.999999
Step-by-step explanation:
Given that :
Probability of CD being defective, p = 0.1
q = 1 - p = 1 - 0.1 = 0.9
Total number of CD's = number of trials = 80
Probability, that no more than 35 CD's are defective ;
The question satisfied the requirements for a binomial probability problem ;
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Hence,
P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)
Using calculator to save computation time :
P(x ≤ 35) = 0.999999
For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5x.
(3, [?])
Replace x with 3 and solve:
10 x 5^3
Simplify:
10 x 125 = 1250
Answer: y = 1250
(3 , 1250)
Step-by-step explanation:I got it right on my test.
Fermat fc won 45% of the 60 games they played last season. How many games did fermat fc win last season
Answer:
Fermat FC won 27 games.
Step-by-step explanation:
Convert percentage to fraction
45% --> 45/100
Multiply the fraction by the dividend
45/100 x 60 = 27
If A(x, y) and B(27, 2y) are points on a grid, the coordinates of the midpoint of line
segment AB are:
Answer:
( .5x+13.5, 1.5y)
Step-by-step explanation:
To find the coordinates of the midpoint, add the endpoints and divide by 2
(x+ 27)/2 = x/2 + 13.5
(y+2y)/2 = 3y/2 = 1.5y
. Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world. It rises 450 ft over a horizontal distance of 1,000 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.
Answer: 50%
Step-by-step explanation:
From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.
Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:
= 450/1000 × 100
= 45%
= 0.45
= 0.5 to nearest tenth
= 50% to nearest tenth.
I’ve been working on this all day please help me solve it
Answer:
a and b) 256
c) 5
d) 400
e) 10
Step-by-step explanation:
160(2) - 16(2)² = 320 - 64 = 256
h(2) = 256
find zeros
0 = -16x²-160x
0 = -16x(x-10)
-16x=0 x = 0
0 = x-10 x = 10
Δx₁,x₂ = 10/2 = 5 max height is at x = 5
find max height using x-value:
-16(5)²+160(5) = -80 + 480 = 400
for e) use second root (x = 10)
Full working out for this question please.
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
Find the missing segment in the image below
Answer:
10/2=15/?
Step-by-step explanation:
I can help you to your all question but it need time. I have to write short.
?=3