Explanation:
Angle E is 90 degrees. The segment DC = 53 is opposite this angle. Note how "DC" does not contain the letter "E". Furthermore, note how this is the largest side. So it's the hypotenuse.
The side ED = 28 is the opposite side of reference angle C, because "C" is nowhere to be found in the sequence "ED".
The side CE = 45 is the adjacent side because "E" is found in "CE".
The tangent ratio is...
tan(angle) = opposite/adjacent
tan(C) = ED/CE
tan(C) = 28/45
Twice the sum of x
and 5 equals 3.
⇛2x + 5 = 3
⇛2x = 5 - 3
⇛2x = 2
⇛x = 2/2
⇛x = 1
Answer:
1
Step-by-step explanation:
Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)
Answer:
b = 35 minutes
Step-by-step explanation:
A)
How long he plays basketball = x
How long he plays volleyball = y
x + y = 95
x = y + 25
B) We will replace (x = y + 25) as x in the first equation
(y + 25) + y = 95
2y + 25 = 95
2y = 95-25
2y = 70
y = 70/2
y = 35
He plays volleyball for 35 minutes everyday
answered by g a u t h m a t h
Can anyone tell me why by direct substitution of x, the equation (circled ones) equals to the indeterminate form, 0/0? When you can do x²-k=6 something like that
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.
Answer:
8-x=2
-x=2-8
-x=-6
x=6
if 8 is subtract from 6answer is 2
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Answer:
One solution: 0x + 0.5y = 0
Step-by-step explanation:
9x + 4y = 36
6x + 2.5y = 24
2 * Eq. 1
18x + 8y = 72
-3 * Eq. 2
-18x - 7.5y = -72
Add the multiples of the equations.
0x + 0.5y = 0
Answer: One solution: 0x + 0.5y = 0
The linear combination that reveals the number of solutions to the system is as follows:
One solution: 0x + 0.5y = 0
The system of linear equation is as follows:
9x + 4y = 36
6x + 2.5y = 24
He multiplied the first equation by 2 and the second equation by –3. Therefore,
Combined equation:18x + 8y = 72
-18x - 7.5y = -72
Therefore, let's add the equation
0x + 0.5y = 0
learn more on system of equation: https://brainly.com/question/2437164?referrer=searchResults
HELP!!
Resolve into factors:
8 – 6а – 9a^2 + 27a^3
[tex]\\ \sf\longmapsto 8-6a-9a^2+27a^3[/tex]
[tex]\\ \sf\longmapsto 27a^30-9a^2-6a+8[/tex]
Take 3a common[tex]\\ \sf\longmapsto 3a(9a^2-3a-2)+8[/tex]
Hence doneUse the Diagram to find BC.
Answer:
Step-by-step explanation: you have to ask your parents for help
A sinusoidal graph has an amplitude of 9 and a midline of y = –2. Determine
the range of the graph.
Answer:
[tex]( - 11.7)[/tex]
Range 18
Step-by-step explanation:
Twice the amplitude.
find a number such that when 3/4 of it is added to 3.5 the sum is the same as when 2/3 of it is subtracted from 6.5
Answer:
2.1
Step-by-step explanation:
let unknown number be x
3/4x + 3.5= 6.5 - 2/3x
collect like terms
3/4x+2/3x=6.5 - 3.5
17/12x = 3
cross multiply
12 * 3=17x
36=17x
x=36/17
x=2.1
When a number is decreased by 2.6%, the result is 83. What is the original number to the nearest tenth?
Answer:
85.2
Step-by-step explanation:
we can represent this in an equation where the initial value is going to be and to this we will subtract 2.6% of it
x - x * 2.6/100 = 83
x - 0.026x = 83
0.974x = 83
x = 83 / 0.974
x = 85.2156
we round to the nearest tenth and finally, we get that the result is 85.2
There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?
Answer: 3128 students
Step-by-step explanation:
Total no of students in the school : 3200
No of sophomores in favor of the school forming a crew team : 38
No of the remaining students in favor of forming a crew team : 34
Total students in favor of forming a crew team = 38+34= 72
No of students against it : Total students - Students in favor
= 3200-72 = 3128 students
Find the sentence distance between the points (-2,2) and (-1,1). Round to two decimal places if necessary.
Someone help me
Answer:
1.41
Step-by-step explanation:
Coordinates of point 1 are:
(-2,2)
Coordinates of point 2 are:
(-1,1)
[tex]Distance \: between \: two \: points \\ = \sqrt{ {(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} } \\ = \sqrt{ { (- 1 - - 2)}^{2} + {(1 - 2)}^{2} } \\ = \sqrt{ { (1)}^{2} + {( - 1)}^{2} } \\ = \sqrt{ 1 + 1 } \\ = \sqrt{2} \\ = 1.41 [/tex]
Be Precise What is the difference between a terminating decimal and a repeating
decimal?
Answer:
Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
Suppose AABC = AEFD, AEFD = AGIH, ZA = 90°, and mZF= 20°. What is mZH?
a. 20°
b. 70°
C. 90°
d. Cannot be determined
What is the result of converting 60 ounces to pounds? Remember, there are
16 ounces in a pound
O A 375 pounds
B. 5 pounds
co pounds
O 0 4 25 pounds
it is 3.75 lbs my shlime
Answer:
the answer is 3.75 pounds
it says one pound is 16 ounces
so divide the ounces with pound
60/16
then we get 3.75 pounds
Find the arc length of the partial circle.
Answer: C=10.99
Step-by-step explanation:
It can be seen that the arc has an angle of a=90 degrees, respectively, the length of the arc can be found by the formula[tex]\bf C=\dfrac{2\bf {\pi} r}{360} \cdot \alpha=> \dfrac{2\cdot 3,14\cdot 7 }{360} \cdot 90=\boxed{\bf 10.99}[/tex]HELP PLEASE
Which of the following shows that the quadrilateral with vertices A (3, 1), B(0, 6), C (4,7),
and D (7, 2) is a parallelogram?
Answer:
C
Step-by-step explanation:
An equation is shown below:
3(2x – 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
Part A: One | Part B: x = 4
Step-by-step explanation:
[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]
Answer:
4
Step-by-step explanation:
3(2x _7)=3
multiply 3 by everything in the bracket
6x-21 = 3
move 21 to the other side of the equation,it becomes positive sine it crosses the = sign
6x = 3+21
6x =24
divide both sides by 6
6x/6=24/6
x = 4
For g(x) = x - 2 find the value of x for which g(x) = -4.
Answer:
x=-2
Step-by-step explanation:
g(x) = x-2
Let g(x) = -4
-4 =x-2
Add 2 to each side
-4+2 = x-2+2
-2 = x
Answer:
x = -2
Step-by-step explanation:
g(x) = -4
g(x) = x - 2
-4 = x - 2
+2 +2
-2 = -x
What are the coordinates of P?
(b,0
a,0
0,a
0,b
Answer:
a,0
Step-by-step explanation:
Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).
5 a + 3 b + 2 a b + 4 a -7 b
Answer:
5a+4a=9a
3b-7b=-4b
2ab
=9a-4b+2ab or 2ab+9a-4a
Step-by-step explanation:
Calculate liked terms
what is the midpoint of the line segment graphed below (-1, 5) (-8, -4)
Answer:
The midpoint is (-4.5,.5)
Step-by-step explanation:
To find the x coordinate, add the x coordinate of the ends and divide by 2
(-1+-8)/2 = -9/2 = -4.5
To find the y coordinate, add the y coordinate of the ends and divide by 2
(5+-4)/2 = 1/2 =.5
The midpoint is (-4.5,.5)
A pet store has 80
80
geckos and anole lizards altogether.
The ratio of geckos to anole lizards is 1:3
1
:
3
.
How many geckos does the pet store have?
Answer:
The ratio of geckos to lizards is 1:3
So, that means 1/(3+1) of the animals are geckos.
1/4 of the reptiles are geckos.
And, there are 20 geckos.
Let me know if you have any other questions!
Ratios are used to show the relationship between related quantities. The number of geckos in the pet store is 20.
Given that:
[tex]Total = 80[/tex]
[tex]Gecko : Anole = 1 :3[/tex]
The number of geckos (n) in the store is calculated as follows:
[tex]n = \frac{Gecko}{Gecko + Anole} \times Total[/tex]
So, we have:
[tex]n = \frac{1}{1+ 3} \times 80[/tex]
[tex]n = \frac{1}{4} \times 80[/tex]
[tex]n = 20[/tex]
Hence, there are 20 geckos in the store
Read more about ratios at:
https://brainly.com/question/19257327
A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?
Answer:
4 to 3
Step-by-step explanation:
The ratio of salt to pepper is
2/3 to 1/2
Multiply both fractions by 6
6 * 2/3 to 6 * 1/2
4 to 3
An average woman walks at a speed
of 255 feet per minute. At this rate,
how far would Mrs.
ft
Hill walk in an hour?
Answer:
15,300 ft or 2.9 miles
Step-by-step explanation:
Distance = Rate * Time (but rate and time must be in the same units)
convert hours to minutes
1 hr * 60 min/hr = 60 min
then
D = 255 ft/min * 60 min
D = 15,300 ft
if you want miles, convert ft to miles (5280 ft per mile)
15,300 ft * 1 mi/5280 ft
2.9 mi
Will Mark Brainnlest Please help me
Answer:
sory
Step-by-step explanation:
soryuuuiuuuiiiiiiijjjjkkkkkj
solve A = 1/2bh, for b
Answer:
b=2A/h
Step-by-step explanation:
First I throw everything else to another side with A by dividing them
(A = b)/2h
then I get
b=2A/h
Step-by-step explanation:
A = 1/2 bh
divide by 1/2
2A = bh
divide by h
2A/h = b
in triangel abc line segmemt cd is an altitude, such that ad=bc. find ac if ab=3cm and cd =sqrt2
Answer:
√7
Step-by-step explanation:
Let :
AC = x
BD = y ; AD = 3 - y
Since, AD = BC
Then BC = 3 - y
Taking △BDC a d applying Pythagoras
Hypotenus² = opposite² + adjacent²
BC² = CD² + BD²
(3 - y)² = (√3)² + y²
9 - 6y + y² = 3 + y²
-6y + y² - y² = 3 - 9
-6y = - 6
y = 1
AD = 3 - y ; AD = 3 - 1 = 2
Taking △ADC
AC² = CD² + AD²
AC² = (√3)² + 2²
AC² = 3 + 4
AC² = 7
AC = √7
Help pleaseee I need it so bad
Answer:
Step-by-step explanation:
x²+x-12=0
D=49
X1=3
X2=-4
First is (-4;16)
Put x to the equation y=12-3=9
The other is (3;9)
W
During the hours from 9:00 PM on Friday to 9:00 pm on Sunday, Kristin spent 1/3 of her time sleeping, 1/8 of her time raking leaves, 1/12 of her time reading a book, 1/16 of her time working on her science project, 1/24 of her time riding in the car, and 1/48 of her time watching television. How many hours in this time period remained for all other activities?
Answer:
16 hrs of Sleep
6 hrs of Raking Leaves
4 hrs reading
3 hrs science project
2 hrs riding car
1 hr watching tv
Step-by-step explanation:
Its division on all of them, 9:00 PM on Friday to 9:00 PM on Sunday, would be 2 days, there being 24 hrs on one day, and since its 2 days, its 48, then you divide 48 by the denominator, and there you should get your timed answer.
For example, for the 1/3, you'll divide the denominator (the bottom number, in this case 3) by 48, since that's the whole amount, and the 3 is the amount of time they spent out of that whole. The division is written 48 ÷ 3 = 16
Hope this helped a bit :)
