Answers
Add them all together.
<AEB + <BEX + <CED = 180
11x - 12 + 4x + 1 + 4x + 1 = 180
Collect the left terms on the left.
19x - 10 = 180 Add 10 to both sides.
19x = 180 + 10
19x = 190 Divide by 19
x = 190/19
x = 10
That is not the answer. The answer is
4x + 1
4*10 + 1
40 + 1
BEC = 41 <<<<<=====
Related Questions
PLEASE HELP! What is the area of triangle BCD in exact form? 35 points!
Answers
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as [tex]\frac{25\sqrt{3}}{2}[/tex]
daniel is standing 100ft from a tower and sees a bird land on top of the tower. if the angle of elevation from daniel to the top is 84.6, how tall is the tower
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make sure your calculator is in Degree mode.
PLEASE ANYONE
HELP
I think its 120 + 15x ≤ 360
IS that Correct!!??
Answers
If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?
A. It has two complex solutions.
B. It has one real solution.
C. It has two real solutions.
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PLEASE HELP ME ON THIS....
thx
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answer
There is no solution
Giving a test to a group of students, the grades and gender are summarized below. if one student was chosen at random, find the probability that the student was female. male total 39 female total 26
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To find the probability that a student is female, first add up both the number of males and females.
39 + 26 = 65
Now, divide the total number of females by 65 and multiply by 100.
26 / 60 = 0.4 x 100 = 40%
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−3,10) , M(6,10) , and P(−3,−6) . Point N is the fourth vertex of the rectangle. How long is the side of the rectangle connecting points M and N?
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The answer is 16.
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Hope this helps and have a great day!
Answer:
answer 16 or 1.6
Step-by-step explanation:
How do I find the holes of this function?
Answers
We factor the function.
[tex]y= \dfrac{3x^2-7x+4}{x^2-1} = \dfrac{3x^2-3x-4x+4}{x^2-1}= \dfrac{3x(x-1)-4(x-1)}{x^2-1} \\\\\\ y = \dfrac{(3x-4)(x-1)}{(x+1)(x-1)} = \dfrac{3x-4}{x+1}, \ x \neq -1, \ x \neq 1[/tex]
We canceled (x-1) from the numerator and denominator, so when this factor is equal to zero, there is a hole on the graph, that is, at the point [tex](1, \frac{-1}{2})[/tex].
A car has a 12-volt battery. The engine has a resistance of 0.22 ohms. How many amps will be drawn from the battery when the key is turned? I (to the nearest hundredth)
Answers
Answer:
54.54 amps.Step-by-step explanation:
Amps refers to the electrical current.
We have to find the electrical current when the car has a 12-volt battery and the engine has a resistance of 0.22 ohms.
The relation between these magnitudes is
[tex]V=I\times R[/tex]
Where [tex]V[/tex] is the voltage, [tex]I[/tex] is the electrical current and [tex]R[/tex] the resistance.
We know that [tex]V=12; R=0.22[/tex]. Replacing these values in the formula and solving for [tex]I[/tex]
[tex]V=I\times R\\\frac{V}{R}=I\\ I=\frac{12}{0.22}\\ I\approx 54.54 amp[/tex]
Therefore, the answer is around 54.54 amps.
The current drawn from the battery when the key is turned is approximately 54.55 amps.
To determine the current drawn from the battery, we can use Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R):
[tex]\[ I = \frac{V}{R} \][/tex]
Given that the voltage (V) of the battery is 12 volts and the resistance (R) of the engine is 0.22 ohms, we can plug these values into the equation:
[tex]\[ I = \frac{12 \text{ volts}}{0.22 \text{ ohms}} \][/tex]
[tex]\[ I = \frac{12}{0.22} \][/tex]
[tex]\[ I \approx 54.5454 \][/tex]
Rounding to the nearest hundredth, we get:
[tex]\[ I \approx 54.55 \text{ amps} \][/tex]
Three times the number of blue marbles exceeds twice the number of red marbles by 18 also 5 times the number of blue marbles is 2 less than 6 times the number of red marbles how many of each are there?
Will give brainliest please answer quickly
Answers
The first equation would be
3B=2R+18.
The second equation would be
5B=6R-2.
To get the coefficients of R the same we will multiply the first equation by 3:
3(3B=2R+18)
which gives us
9B=6R+54
Now our system is
9B=6R+54
5B=6R-2
We will subtract the bottom equation to eliminate R:
9B=6R+54
-(5B=6R-2)
which gives us
4B=56
Divide both sides by 4:
4B/4=56/4
B=14
Substitute this into our first original equation:
3(14)=2R+18
42=2R+18
Subtract 18 from both sides:
42-18=2R+18-18
24=2R
Divide both sides by 2:
24/2=2R/2
12=R
Final answer:
By creating and solving a system of equations based on the given information, we find that there are 10 blue marbles and 8 red marbles.
Explanation:
To solve this problem, we set up two equations based on the information given:
3 times the number of blue marbles (3B) exceeds 2 times the number of red marbles (2R) by 18: 3B - 2R = 18.
5 times the number of blue marbles (5B) is 2 less than 6 times the number of red marbles (6R): 5B = 6R - 2.
Now, we can solve these equations using substitution or elimination. Using substitution, solve the second equation for B:
B = ⅜(6R - 2)
Then substitute this expression for B in the first equation:
3(⅜(6R - 2)) - 2R = 18
Solve for R:
R = 8
Now substitute R back into the equation for B:
B = ⅜(6(8) - 2) = 10
Thus, there are 10 blue marbles and 8 red marbles.
Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
Answers
Answer:
x(x2 + 5) – 9(x2 + 5)
Step-by-step explanation:
A sum of _________ can be factored according to the pattern (a + b)(a2 - ab + b2).
Answers
Solution:
we are given with [tex] (a + b)(a^2 - ab + b^2) [/tex]
we have been asked to find the representation of the given factor as a Sum.
As we know that
[tex] (a^3+b^3)= (a + b)(a^2 - ab + b^2) [/tex]
Because
[tex] (a + b)(a^2 - ab + b^2)=a(a^2 - ab + b^2)+b(a^2 - ab + b^2)\\
\\
(a + b)(a^2 - ab + b^2)=a^3-a^2b+ab^2+ba^2-ab^2+b^3\\
\\
(a + b)(a^2 - ab + b^2)=a^3+b^3\\ [/tex]
Carlos plots a circular planter's wall on a computer. He determines that the circle that defines the part of the planter wall that gets watered by the sprinkler is (x−10)2+(y+12)2=36.
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?
Answers
2. The standard form for the equation of a circle is:
(x-h)²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?
The answer is: 12 m
The perimeters of two similar quadrilaterals are 48 cm and 60 cm, respectively. If the area of the smaller quadrilateral is 96 cm2, find the area of the larger quadrilateral.
Answers
The area of the larger quadrilateral is found by using the scale factor derived from the ratio of the perimeters of the similar quadrilaterals, which comes out to 150 cm².
The question involves finding the area of a larger quadrilateral given the perimeters of two similar quadrilaterals and the area of the smaller one. In similar figures, the ratio of their areas is the square of the ratio of their corresponding linear dimensions, such as side lengths or perimeters in this case. Since the perimeters are 48 cm and 60 cm, the ratio of the perimeters (also the scale factor) is 48/60, or 4/5. Consequently, the ratio of the areas is the square of the scale factor, which is (4/5)² or 16/25. Knowing the area of the smaller quadrilateral is 96 cm², we find the area of the larger quadrilateral by dividing the area of the smaller by the scale factor squared and then multiplying by the larger scale factor squared. This gives us (96 / (16/25)) cm² = (96 * 25/16) cm² = 150 cm².
So, the area of the larger quadrilateral is 150 cm².
While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to keep the three fours and reroll the other 2 dice. a. what is the probability that Mei will have 5 of a kind? b. What is the probability that she will have 4 of a kind? c. what is the probability that she will have exactly three 4's?
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B. 10/36. Ten of the options contain exactly 1 - 4.
C. The remaining 25/36 options do not include a 4.
Find the value of a. The diagram is not to scale. a. 36 b. 144 c. 54 d. 126 **I believe the answer is B
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The value of a in the diagram is 144°.
The correct option is B.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given:
A trapezium has parallel bases and that one of its characteristics is that the two angles on a single side are supplementary, meaning that the total of the angles on two neighboring sides is 180°.
So,
∠a = 180 - 36
∠a = 144
∠b = 180 - 113
∠b = 67
Therefore, the value of a is 144°.
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The complete question is given in the attached image.
The real part of the complex number –5 + 3i is
Answers
Real part of the complex number [tex]-5 + 3i[/tex] is -5.
What is complex number?" Complex numbers are such numbers which expressed in form of [tex]a+ i b[/tex], where 'a' represents the real part and b represents the imaginary part containing [tex]i[/tex] . Value of [tex]i = \sqrt{-1}[/tex]."
According to the question,
Given complex number,
[tex]-5 + 3i[/tex]
Compare it with general form of complex number [tex]a+ i b[/tex] we get,
Real value of( [tex]-5+ 3i[/tex]) = -5
Imaginary value of [tex]-5+ 3i[/tex] = 3
Hence, real part of the complex number [tex]-5 + 3i[/tex] is -5.
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How many minutes greater is the software company's median than the bank's median?
Enter your answer in the box.
Answers
identify the image of xyz for a composition of two 270 degree rotation and a 90 degree rotation both about point x.
Answers
Answer:
The answer is D
Step-by-step explanation:
sin 4 theta
hey, how do you simplify sin 4 theta? using double angle theory?
Answers
You begin with double-angle formula for sine:
sin(4θ) = sin(2·2θ) = 2·sin(2θ)·cos(2θ)
Then, double-angle formula for sine again:
2·sin(2θ)·cos(2θ) = 2·2·sinθ·cosθ·cos(2θ) = 4·sinθ·cosθ·cos(2θ)
Then double-angle formula for cosine:
4·sinθ·cosθ·cos(2θ) = 4·sinθ·cosθ·(cos²θ - sin²θ)
Last, multiply:
4·sinθ·cosθ·(cos²θ - sin²θ) = 4·sinθ·cos³θ - 4·sin³θ·cosθ
A lighthouse is 15m above sea level.
The lighthouse operator sights a boat at an angle of depression of 25 degrees.
How far is the boat from the lighthouse?
Round your answer to the nearest tenth.
Answers
tan x = opposite/adjacent
tan 25 = x/15
15 (tan 25) = x
6.9946 = x
So the boat is approximately 6.9946 m away from the lighthouse.
Answer:
41.2
Step-by-step explanation:
Catie is trying to determine the height that a ladder reaches as it leans against a wall. She walks under the ladder and touches her forehead to it as shown. If her feet are 16 inches from the ladder's base, the ladder's base is 4.5 feet from the bottom of the wall, and Catie is 5 feet 6 inches tall, then come up with an estimate for how high the ladder reaches up the wall to the nearest tenth of a foot. Watch your units on this problem and show all work
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Catie creates a similar triangle with the ladder so we can create a proportion to solve for the height.
[tex] \frac{baseto feet}{base to wall} = \frac{catie height}{wall height} [/tex]
Convert all values to feet . 16in = 1.33 ft . 5ft 6 in = 5.5 ft
Insert values into proportions
[tex] \frac{1.33}{4.5} = \frac{5.5}{x} [/tex]
Cross multiply to get
24.75=1.33x
divide both sides by 1.33
x=18.56ft
To find the height the ladder reaches up the wall, set up a proportion using similar triangles and Catie's height as the ladder's height. The estimate for the ladder's height up the wall is 6.8 feet.
Given information:
Catie is 5 feet 6 inches tall.Her feet are 16 inches from the ladder's base.The ladder's base is 4.5 feet from the bottom of the wall.To find the height the ladder reaches up the wall, we can set up a proportion using similar triangles. Catie's height can be considered as the ladder's height, and the distance on the wall can be related to the ladder's base and height.
Using the information provided and performing the calculations, the estimate for the height the ladder reaches up the wall would be approximately **6.8 feet** to the nearest tenth of a foot.
find the geometric mean between 18 and 2,
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Formula:
Geometric Mean = ((X₁)(X₂)(X₃)........(Xₙ))^1/ⁿ
Where,
X = Individual score
N = Sample size (Number of scores)
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. if the cardboard is 17 in. long and 12 in. wide, find the dimensions of the box that will yield the maximum volume. (round your answers to two decimal places.)
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The initial measurements of the box are:
Length: 17
Width: 12
Height: 0
Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.
Volume = (17 - 2x)(12 - 2x)x
If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.
The length of a shadow of a building is 32 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.
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Therefore, to solve the problem, you must find the third side using the
Pythagorean theorem.
We have then:
h ^ 2 + 32 ^ 2 = 38 ^ 2
We cleared h:
h = root (38 ^ 2 - 32 ^ 2)
h = 20.49390153
round to the nearest tenth
h = 20.5 m
Answer:
the height of the building is:
h = 20.5 m
You receive $1,000 to put in the bank. You place it in an account that pays 4% annual interest compounded continuously. How much will you have in 15 years? Round the answer to the nearest dollar.
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Given the following linear function, identify the slope and y-intercept of the function: x= 1/6x+7
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hope it helps
please mark as brainliest
How much more interest is owed on $900 for 9 months then for 6 months? 6 months = 2.4% rate 9 months = 2.9% rate
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[tex]\bf ~~~~~~ \textit{Simple Interest Earned on 9 months}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$900\\ r=rate\to 2.9\%\to \frac{2.9}{100}\to &0.029\\ t=years\to \frac{9}{12}\to &\frac{3}{4} \end{cases} \\\\\\ I=900(0.029)\left( \frac{3}{4} \right)\\\\ -------------------------------[/tex]
[tex]\bf ~~~~~~ \textit{Simple Interest Earned on 6 months}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$900\\ r=rate\to 2.4\%\to \frac{2.4}{100}\to &0.024\\ t=years\to \frac{6}{12}\to &\frac{1}{2} \end{cases} \\\\\\ I=900(0.024)\left( \frac{1}{2}\right)[/tex]
check their difference, that much.
The interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, The rate of interest is in percentage r% and is to be written as r/100
To determine interest on the amount of $900 for 9 months
Here P = $900, R = 2.9% = 2.9/100, and T = 9/12 year
Interest = P × R × T
Interest = 900 × 2.9/100 × 9/12
Interest = $19.57
To determine interest on the amount of $900 for 6 months
Here P = $900, R = 2.4% = 2.4/100, and T = 6/12 year
Interest = P × R × T
Interest = 900 × 2.4/100 × 6/12
Interest = $10.80
The difference of interest is owed on $900 for 9 months then for 6 months: $19.57 - $10.80 = $8.77
Therefore, the interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
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What is the difference of the two polynomials?
(7y2 + 6xy) – (–2xy + 3)
Answers
7y^2 + 6xy +2xy +3
7y^2 +8xy +3
8xy + 7y^2 +3
Calculate.
0 = x² + 10x + 16
Enter your answers in the boxes.
Answers
You can get this by factoring the polynomial and solving for x or by using the quadratic formula.