Answer:
m=18/3
Step-by-step explanation:
m=-7-11/-6-(-1)
What is the value of x?
Enter your answer in the box.
Answer:
solution
Step-by-step explanation:
ADC = Sum of triangle
AD+ AC = 2.25+3 =5.25
Step 2:
BCD = Sum of acute angled triangle = a+b+
c
BCD= 2.25+4+3
BCD = 9.25
The value of x =ADC+BCD
= 5.25+ 9.25
= 14.5
The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly 12 centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright when the box rests on one of its sides. Of all such canisters that would fit, what is the outer radius, in centimeters, of the canister that occupies the maximum volume
Answer:
Vmax = 192.33 cm³
Step-by-step explanation: An error in the problem statement. The sides of the box could not be 12 cm. We assume 1.5 cm
Inside dimensions of the box:
Outer dimensions : 12 10 8
2 * 1.5 = 3 3 3 3
Inside dimensions: 9 7 5
The volume of a right circular cylinder is:
V(c) = π*r²*h r is the radius of the base and h the height
By simple inspection is obvious that volume maximum will occur when r is maximum, and r is maximum, only when the base of the cylinder is in the rectangle 12*10. ( Inside dim 9*7 ) In that case r = 7/2 r = 3.5 cm
Then the height is 5 cm.
And the maximum volume of the cylinder is:
Vmax = 3.14* ( 3.5)²*5
Vmax = 192.33 cm³
What is the reason for statement 3 in this proof?
Answer:
A. Definition of angle bisector
Step-by-step explanation:
Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;
m∠ABD = m∠CBD
The correct option is option A. Definition of angle bisector
Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;
AD = CD and BD = BD
We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency
find the positive square of 7.3441
Answer:
find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.
Step-by-step explanation:
Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.
a. 1/18
b. 5/648
c. 1/54
d. 5/324
Plz help me
Answer:
5 / 648
Step-by-step explanation:
Given tbe sample space for a pair of dice attached below :
Sample space for a pair of dice = 6² = 36
Rolling a 3 first :
Recall, probability = required outcome / Total possible outcomes
P(rolling a 3). = 2 / 36 = 1 /18
Probability of rolling a 6 (second roll)
P(rolling a 6) = 5 / 36
Hence,
P(3) then P(6) ;
1 / 18 * 5/36 = 5 / 648
Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).
Answer:
[tex]x^2 + ( y + 4)^2 = 52[/tex]
Step-by-step explanation:
Equation of circle with center (a , b) and radius, r is :
[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]
Given : a = 0 , b = - 4
Step 1 : Find the radius.
Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.
[tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]
[tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]
Step 2 : Equation of circle.
[tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]
The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?
0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3
Hello,
Answer B : -0.8=-0.8
[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]
The last line of the justification is –0.8 = –0.8
Solving equationsGiven the following equation
1.4n + 2 = 2n + 3.2.
Collect the like terms
1.4n - 2n = 3.2 - 2
Substitute n = -2 into the expression
1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8
Hence the last line of the justification is –0.8 = –0.8
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A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .
Answer:
313 ft
Step-by-step explanation:
It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120
The distance from point A to point B is given by the trigonometric relations and d = 313 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the first triangle be represented as ΔAOD
Let the second triangle be represented as ΔBOD
where the distance from point A to point B = d
And , Riley is watching from a vertical distance of 120 feet above the water
Riley measures an angle of depression to the boat at point A to be 18 degrees
Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees
So , ∠BOD = 25° and ∠AOD = 72°
From the trigonometric relations ,
tan θ = opposite / adjacent
tan AOD = AD / OD = tan 72°
tan 72° = 3.087
tan BOD = tan 25° = 0.47
Now , the measure of AD = 120 x 3.087 = 369.6 feet
And , the measure of BD = 120 x 0.74 = 56.4 feet
Therefore , the distance from A to B = 369.6 feet - 56.4 feet
d = 313 feet
Hence , the distance is 313 feet
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what is 0.7dm to nm is? please help asap
Step-by-step explanation:
0.7 decimeter =
70,000,000 nanometers
Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n
2
4
3
5
Answer:
n=5
Step-by-step explanation:
by using
n=(an-a)/a+1
substituting values
n= 7.2-(-7.2)/3.6 +1
n=5
what is the measure of the angle formed by a side of the given angle and the given angle's bisector:27?
Answer:
Step-by-step explanation:
An angle is cut in half by the bisector.
Since the given angle is 172, its bisector creates 2 equal angles.
2x = 172 Divide both sides by 2
x = 172/2
x = 86
PLS HELP FAST! I NEED THIS FAST :((
Answer:
In order:
Distributive Property
Subtraction Property of Equality
Division Property of Equality or Reciprocal Property
Step-by-step explanation:
Write the equation of the line from the graph(serious answers only pls)
Answer:
x = -3
Step-by-step explanation:
Here, this is a vertical line
What this mean here is that the x-value remains constant irrespective of the y value
For all the y values, we have a single x-value
so what this mean is to simply locate the x-axis. value and equate it to x
We have this as;
x = -3
Help me please guys
Answer:
m = 5, n = - 1
Step-by-step explanation:
Given
x² + 4x - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)
The factors are + 5 and - 1 , since
5 × - 1 = - 5 and 5 - 1 = + 4 , then
x² + 4x - 5 = (x + 5)(x - 1)
with m = 5 and n = - 1
Brink of tears All my points
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average of 5% each year since then.
A) Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.
B) Use the rule to determine what the annual profits of Rhondas business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work
Answer:
(a) $ 30000 + 1500 t
(b) $ 52500
Step-by-step explanation:
Initial profit = # 30,000
Profit increases every year by 5 %.
(a) Let the profit after t year is
P = $ 30,000 + 5% of 30,000 t = $ 30000 + $ 1500 t
(b) t = 15 years
P = $ 30000 + $ 1500 x 15 = $ 52500
Using exponential function concepts, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) The prediction for her profits in 15 years is of $62,368.
What is an exponential function?
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.Item a:
Her business made $30,000 in profits the first year, hence [tex]A(0) = 30000[/tex].Her annual profits have increased by an average of 5% each year since then, hence [tex]r = 0.05[/tex].Then, the model is:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
In 15 years, the estimate for the profits is of:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
The prediction for her profits in 15 years is of $62,368.
You can learn more about exponential function concepts at https://brainly.com/question/25537936
Help!!!!!!!!!!!!!!!!!!
the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.
Answer:
Hey
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because i said so
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Step-by-step explanation:
[tex]numbers \: = x \: and \: y \\ x \times y = - 12......(1) \\ x + y = 1..... ..(2) \\y = 1 - x \\ put \: this \: in \: (1) \\ x(1 - x) = - 12 \\ x - {x}^{2} = - 12 \\ - x + {x}^{2} - 12 = 0 \\ factorise \\ {x}^{2} - 4x + 3x - 12 = 0 \\ x(x - 4) + 3(x - 4) = 0 \\ (x - 4)(x + 3) = 0 \\ x = + 4 \: or \: - 3 \\ thank \: you[/tex]
Volume= 27cm3
Density =5 g/cm3
Mass=
Answer:
135g
Step-by-step explanation:
[tex]\boxed{mass = density \times volume}[/tex]
Given: density= 5g/cm³, volume= 27cm³
Mass
= 5 ×27
= 135g
Which represents the inverse of the function f(x) = 4x?
O
h(x) = x + 4
h(x) = X- 4
h(x)
3,
4
h(x) = =x
I NEED HELP PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
-3
Step-by-step explanation:
If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.
Answer:
I don't understand this
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
Answer:
Step-by-step explanation:
From the picture attached,
ΔDEF is a right triangle with two sides,
EF = 17 units
DF = 20 units
By applying Pythagoras theorem in the given triangle,
DE² = DF² + EF²
(20)² = DF² + (17)²
DF² = 400 - 289
DF = √111
Trigonometric ratios for the ∠F,
sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]
[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\text{cos}F=\frac{17}{20}[/tex]
[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]
Choose the correct option.
Find d:
d=| 5 1 |
|-1 10 |
D= 51
[2 4 ]
[-3 9]
the determinant of the above matrix: 30
Answer:
D = 51, other = 30
Step-by-step explanation:
d = | 5 1 |
|-1 10|
D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51
| 2 4|
|-3 9|
(2 x 9) - (4 x -3) = 18 + 12 = 30
Please help! Find the length of side CD.
Answer:
The answer should be 6.63
Bd and bc form a right triangle with cd
Use the Pythagorean theorem
Cd = sqrt( 12^2 - 10^2)
Cd = sqrt( 144-100)
Cd = sqrt(44) = 2sqrt(11)
(100 points)
4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for?
how big was the original group?
b. identify all the necessary numbers.
28,5
c. write the equation or problem in numeric form.
x=28*5
d. solve the math.
x=140
e.write the answer
. the original group contains 140 people.
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for?
what is the minuend?
b. identify all the necessary numbers.
589,339
c. write the equation or problem in numeric form.
x=589-339
d. solve the math.
x=250
e.write the answer.
minuend=250
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for?
what is the divisor?
b. identify all the necessary numbers.
17,765
c. write the equation or problem in numeric form.
x=765/17
d. solve the math.
x=45
e.write the answer.
divisor is 45.
4. Solution
a. How big was the original group?
b. 28 and 5
c. x = 28×5
d. x = 140
e. There are 140 people in original group.
5. Solution
a. What is the minuend?
b. 589 and 339
c. x = 589-339
d. x = 250
e. The minuend is 250.
6. Solution
a. What is the divisor?
b. 17 and 765
c. x = 765/17
d. x = 45
e. Hence, 45 is the divisor.
Can someone help me with this math homework please!
Answer:
same after 3 years
because .............................
Answer:
The populations of orangutans will be same after 3 years
Step-by-step explanation:
Let the populations or orangutans is the same after n years
Decrease in population of oragnutans in the first study
=784-25n=784−25n
Decrease in population of oragnutans in the second study
=817-36n=817−36n
According to the question
784-25n=817-36n784−25n=817−36n
\implies 36n-25n=817-784⟹36n−25n=817−784
\implies 11n=33⟹11n=33
\implies 11n=33⟹11n=33
\implies n=\frac{33}{11}⟹n=
11
33
\implies n=3\text{ years}⟹n=3 years
Therefore, the populations of orangutans will be equal after 3 years
Hope this is helpful.
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
Find the value of cos H rounded to the nearest hundredth, if necessary
Answer:
0.6
Step-by-step explanation:
cos H = GH/FH
FH^2=20^2+15^2
FH^2=400+225=625
FH=25
cos H= 15/25=3/5=0.6
===========================================================
Explanation:
Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
c = sqrt(15^2 + 20^2)
c = 25
The hypotenuse is 25 units long, which is the length of segment FH.
Now we can find the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(H) = GH/FH
cos(H) = 15/25
cos(H) = 3/5
cos(H) = 0.6
The graph below shows the solution to which system of inequalities?
10-
TO
10
-10