Answer: x = 12 degrees.
Step-by-step explanation:
The triangle ABC is a right triangle, which means that it has a right angle of 90 degrees.
This is represented by the small square on the bottom-left corner of the triangle.
The angle DBC is 78 degrees. There is also the angle of ABD, which is represented by X.
The right angle is equivalent to 78 degrees and x. You can represent this in an equation, where the sum of 78 degrees and x = 90 degrees, the right angle:
78 + x = 90
x = 12
12 is 3/4 of what number
Answer:
16
Step-by-step explanation:
4 x 4 =16
Answer:
16
Step-by-step explanation:
You need to divide by the top and multiply by the bottom.
12 divided by 3 is 4, and 4 times 4 is 16.
Which pair of angles is supplementary?
Answer:
asdvfbaddbdbdgbd d
Step-by-step explanation:
dbb v vbv v vsfggbbb
Find the midpoint of the line segment with end coordinates of:(−2,−4) and (2,−10)
Answer:
Step-by-step explanation:
By using mid point formula ,
(X,Y) =( X1+X2/2) , Y1 +Y2/2
(-2+2/2) , (-4-10/2)
or, (0/2), (-7)
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
section of his field. This situation is shown in the model. What fraction of the
whole field is planted with white corn?
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Fraction of the total that is for corn (TC - Total corn):
[tex]TC=\frac{1}{4}[/tex]
fraction of the corn section that is for white corn (WC - white corn in the corn seccion):
[tex]WC=\frac{3}{5}[/tex]
we need to find the fraction of the whole field that is for the white corn.
For this we need to find how much is [tex]\frac{3}{5}[/tex] out of the [tex]\frac{1}{4}[/tex] destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn ([tex]\frac{1}{4}[/tex]) by the fraction of white corn in the corn section ([tex]\frac{3}{5}[/tex]).
I will call the total fraction of white corn TWC, thus:
[tex]TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}[/tex]
the answer is: [tex]\frac{3}{20}[/tex] of the whole field is planted with white corn
The large sphere has a diameter of 20 feet.
Which expression represents the volume, in cubic units, of
the shaded part of the sphere?
-4ft
37(109) + 37(4)
7(109) – 2014)
1(209) + (4)
7(209) – 17(43)
Answer:
The volume of the sphere is 4187 cubic feet, approximately.Step-by-step explanation:
The volume of a spherer is defined as
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where [tex]r[/tex] is the radius and [tex]\pi \approx 3.14[/tex]
According to the proble, the diameter is 20 feet. By definition of radius,
[tex]r=\frac{d}{2}=\frac{20ft}{2} =10ft[/tex]
Replacing the radius in the volume formula
[tex]V=\frac{4}{3} \pi (10)^{3}[/tex]
[tex]V=4,187 \ ft^{3}[/tex]
Therefore, the volume of the sphere is 4187 cubic feet, approximately.
Lonnie works weekends at his uncle’s apple orchid. He has 47 baskets of apples to pack. Each basket holds 35 apples. How many apples in all will Lonnie pack?
Answer:
Step-by-step explanation:
baskets times apples
47 times 35
=1645
pls mark me brainliest
Determine whether the linear transformation is invertible. If it is, find its inverse. (If an answer does not exist, enter DNE.) T(x, y) = (-x + y, -x - y)
Answer:
[tex]((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )[/tex]
Step-by-step explanation:
T(x , y) = (-x -y, -x +y)
T(1, 0) = (-1, -1) = -1(1 , 0) -1(0 , 1)
T(0, 1) = (-1, 1) = -1(1 , 0) +1(0 , 1)
Therefore,
[tex]T = \left[\begin{array}{ccc}-1&-1\\-1&1\end{array}\right][/tex]
|T| = [-1 -1] = -2
T is invertible
[tex]T^-^1 = -\frac{1}{2} \left[\begin{array}{ccc}1&+1\\+1&-1\end{array}\right] \\\\=\left[\begin{array}{ccc}-1/2&-1/2\\-1/2&1/2\end{array}\right][/tex]
Therefore,
[tex]T^-^1(x,y)=(-\frac{1}{2}x -\frac{1}{2} y,-\frac{1}{2} x+\frac{1}{2} y)[/tex]
[tex]((-\frac{1}{2}(x+y), -\frac{1}{2} (x-y) )[/tex]
Dori charges 60 customers £1 to play a game. The probability of a customer winning is 0.35 and the prize is £2. How many of the 60 customers can Dori expect to win and how much profit will Dori make?
Answer:
21 people will win, so the profit will be £18
Step-by-step explanation:
0.35 x 60 = 21
21 x 2 = 42 (the amount of money to give away to prize winners)
If 60 people enter, she has £60. Subtracting £42 in winning payouts from this leaves her with a £18 profit.
Ayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply. (negative 9) cube 9 Superscript negative 3 3 Superscript negative 6 (StartFraction 1 Over 9 EndFraction) Superscript negative 6 (one-third) Superscript negative 6 (Negative 3) Superscript negative 6
Answer:
9 Superscript negative 3
Step-by-step explanation:
[tex]{9^{-3} = \frac{1}{9^{3}} =\frac{1}{729}}\\[/tex]
Answer:
b & c
Step-by-step explanation:
For Halloween, Gina received candies from her neighbor, aunt, and uncle. Her aunt gave four times as many candies as her uncle. Her uncle gave 10 less candies than her neighbor. Gina's aunt gave her 44 candies. How many candies did Gina's neighbor give her?
Answer:
21 candies.
Step-by-step explanation:
44÷4=Uncle
Uncle+10=Neighbor
Aunt: 44 candies
Uncle: 11 candies
Neighbor: 21 candies
Her neighbor gave here 21 candies.
dress for $20, coupon for 40% off. After using the coupon, what is the sale price of the dress?
Answer:
$12
Step-by-step explanation:
If the dress is $20 and you are taking off 40%, then you are only paying for 60% of the original price.
20x0.6=12
I don’t know I need help
Answer:
x=34
Step-by-step explanation:
x+(x+12)+100=180
2x+12=80
2x=68
x=34
USE SUPPLEMENTARY!! STRAIGHT LINE= 180 degrees! :))
Answer:
[tex] \boxed{x \degree = 34\degree} [/tex]
Step-by-step explanation:
[tex] = > (x + 12) \degree + 100 \degree + x \degree = 180 \\ \\ = > x \degree + 12 \degree + 100 \degree + x \degree = 180 \degree \\ \\ = > 2x \degree + 112 \degree = 180 \degree \\ \\ = > 2x \degree = 180 \degree - 112 \degree \\ \\ = > 2x \degree = 68 \degree \\ \\ = > x \degree = \frac{68}{2} \degree \\ \\ = > x \degree = 34\degree[/tex]
Solve the system of equations.
The area of a rectangle is 54 ft?, and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the rectangle.
Answer:
prim
Step-by-step explanation:
All prisms are Platonic solids.
A. True
B. False
Answer: False.
Step-by-step explanation: A Platonic solid is a convex polyhedron that is a regular polygon.
Answer:false
Step-by-step explanation: this is false because all prisms don’t Have to be platonic in order to be a prism
Please answer correctly !!! Will mark brainliest !!!!!
Answer:
13
Step-by-step explanation:
g(4) will be found by putting 4 in for r.
g(4) = 25 - 3(4)
g(4)= 25 - 12
g(4) = 13
Please help!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
-30< x/-4
Solve for x.
Answer must be simplified.
Everything you need is attached below.
PLZ HELP ME!!!!!!!
If a rectangular field has a length of x+7 and a width of 4x-2, write an expression for the length of fencing to go around the outer edges.
I WILL MARK YOU THE BRAINLIEST!!!
Answer:
(2x+14) + (8x-4) = P
Step-by-step explanation:
P stands for perimiter
The expression for the length of fencing to go around the outer edges is 10x+10.
What is the perimeter of a rectangle?The perimeter of a rectangle is the twice the sum of length and width.Perimeter of a rectangle = 2(l+b)Length of the rectangular field is given by x+7
and width is given by 4x-2
Length of fencing outer edges is equal to its perimeter.
Perimeter of a rectangle = 2(l+b)
=2(x+7+4x-2)
=2(5x+5)
=10x+10
Hence, the length of fencing outer edges is 10x+10
Learn more about perimeter of a rectangle here:
https://brainly.com/question/13723940
#SPJ2
which of these following equations solve for x in the two pictures
Answer:
X-14 / 2 = 24
Step-by-step explanation:
X-14 / 2 = 24
X-14 / 2 = 24
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
A. Y = 5/18(11)
B. Y = 18/5(11)
C. Y = (18)(5)/11
D. Y = 11/(18)(5)
Answer:
The answer is B! Trust
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
EDGE 23
Evelyn borrowed $30 from her mother to buy a sweater. After 3 weeks of babysitting, she pays her mother back $24. What percent of the debt has Evelyn paid her mother back?
Answer:
80%
Step-by-step explanation:
We know that Evelyn paid off $24 of the $30. To find the percentage, we divide the part by the whole and then multiply by 100. The multiplying by 100 is optional, but it just makes the calculation easier. In this case, the part is 24 and the whole is 30, so our expression would be [tex]\frac{24}{30} * 100[/tex], or 80%. Hope this helps!
pls explain what the answer is n how u got it pls????????????????????????????????????????????????????????????????????????????????????
Answer:
dependent
Step-by-step explanation:
Bob works at a construction company. He has an equally likely chance to be assigned to work different crews every day. he can be a sign to work on cruise building apartments condominiums or houses. if he works 21 days a month about how many times should he except to be assigned to the apartment crew?
Bob can except to be assigned to the new house crew about _____ times out of 21 days
Answer:
i think it is 4? correct me if im wrong :(
Step-by-step explanation:
box plot true and false questions
Answer:
a= false
b=66% so you choose
Step-by-step explanation:
Answer:
a) true
b) false it's 25%
Step-by-step explanation:
there are 4 parts in the diagram: left whisker q1-madian,median-q2,right whisker each part is 25%
WILL GIVE BRAINLIEST The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.9%. What is the approximate pressure at an altitude of 2000 m?
Answer:
The formula to calculate pressure at an altitude in this case is:
P = original pressure x (1 + rate of change)^(number of changing)
in which,
original pressure = 101 kilopascals
rate of change = -11.9% = - 0.119
number of changing = 2000/1000 = 2
=> P = 101 x (1 - 0.119)^2 = 78.39 kilopascals
Hope this helps!
:)
The Anderson family has 3 kids 3 boys and 0 girls suppose that for each birth the probability of a boy birthday is 1/2 and the probability of a girl birth is also 1/2 what is the fractional probility of having 3 boys and 0 girls ina family first 3 births
Answer:
Fractional probability of having 3 boys and 0 girls in a family for first 3 births is [tex]\frac{1}{8}[/tex].
Step-by-step explanation:
Let A be the event of birth of a boy.
Let B be the event of birth of a girl.
Probability of birth of a boy, P(A) [tex]= \frac{1}{2}[/tex]
Probability of birth of a girl, P(B) [tex]= \frac{1}{2}[/tex]
We have to find the probability of birth of 3 boys i.e. event A occurring 3 times in a succession. It is independent events i.e. do not have any dependency on occurrence of any event.
So, Required probability can be calculated just by multiplying P(A) for 3 times.
i.e.
[tex]P(E) = P(A) \times P(A) \times P(A)\\\Rightarrow \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow \dfrac{1}{8}[/tex]
So, the probability of having 3 boys and 0 girls in the family is [tex]\frac{1}{8}[/tex].
Someone please help me
Answer:
Slope = [tex]-\frac{1}{6}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{Rise}{Run}[/tex]
Slope = [tex]\frac{6-10}{24-0}[/tex]
Slope = [tex]-\frac{1}{6}[/tex]
Answer:
-1/6
Step-by-step explanation:
Just use the formula Y2-Y1/X2-X1.
In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.
I need help ASAP! Pease help me understand this
Answer:
25 meters
Step-by-step explanation:
Imagine a segment extending vertically down from the left tree to the right tree.
That would make the segment be 25-10, or 15.
Then, we have a right triangle and we can solve for the hypotenuse, which is the length of the rope. (The bottom of the triangle is 20, and the leg is 15.)
We can use the pythag theorem: 15^2+20^2=c^2
c^2=225+400
c^2=625
c=25
Therefore, 25 meters
I hope the helped! If you have any further questions or concerns, please feel free to comment them below!
You are building a sand castle and want to use a bucket that holds a volume of 885 in.cubed and has height 11.7 in. What is the radius of the bucket? Use 3.14 for π.
Answer:
[tex]4.91 in[/tex]
Step-by-step explanation:
a bucket has the form of a cylinder, which has the following formula for its volume:
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height.
Since we need to find the radius, we solve for r:
[tex]r^2=\frac{V}{\pi h}\\ \\r=\sqrt{\frac{V}{\pi h} }[/tex]
and since we know according to the problem that:
[tex]V=885in^3[/tex]
and
[tex]h=11.7in[/tex]
substituing these values:
[tex]r=\sqrt{\frac{885in^3}{(3.14)(11.7in)}}\\ \\r=\sqrt{\frac{885in^3}{36.738in}}\\\\r=\sqrt{24.0895in^2}\\\\r=4.908in[/tex]
the radius is: [tex]4.908in[/tex] which can be rounded to [tex]4.91 in[/tex]