Answer:
DE=24
Step-by-step explanation:
We can see clearly that the two angles, angle A and angle F are congruent with one another, and since they are, we know the two triangles are shifted in a growth, not in an adjustment of angles. the hypotenuse doesnt matter, what does matter is the 5 and the 10, clearing showly the transition of Triangle ABC to Triangle DEF is times 2. Therefore, 12 times 2 is 24.
Answer:
Step-by-step explanation:
segment DE is what we want to find
notice that the two triangles are similar, similar here just means one is an exact copy of the other, except for scale. One is an exact scale copy of the other. sooooo we can make some scaling of one side of one.. to the same side of the other. here we want DE so .. see that BC is the same side on the other , smaller triangle?
now notice AB on the small triangle and FE on the bigger one... sooo just by observation we can see, that the bigger triangle is 2X bigger than the small one , b/c 5 * 2 = 10 . 5 is the AB side of the smaller triangel and 10 is the same side but on the bigger triangle and 2 is our scaling factor.. got it?
So do the same on BC to find DE
12 * 2 = DE
24 = DE
see? :)
PLEASE HELP I HAVE TO SUBMIT IN AN HOUR
The answer is 3x - 1
solve for x
(11x + 5)°
Which pair of expressions are equivalent?
O 6 t + 5 + 2 t and 11 t + 5
O p + 3 + 2 p and 5 t + 3
O 3 n + 7 and 4 n + 7
O 2 x + 2 + 7 x and 9 x + 7
Answer:
c
Step-by-step explanation:
please help thank you :)
Answer:
∠7 = 85°
Step-by-step explanation:
∠1 = 180 - 115 = 65° Because they are supplementary angles
∠2 = 180 - 65 - 85 = 30° Because the sum of all interior angles in a triangle
equals 180°
∠3 = 90° given
∠6 = 180 - 90 - 30 = 60° Because they are supplementary angles
∠4 = 180 - 155 = 25° Because they are supplementary angles
∠5 = 180 - 25 - 60 = 95° Because the sum of all interior angles in a
triangle equals 180°
∠7 = 180 - 95 = 85° Because they are supplementary angles
State whether or not each equation or situation represents direct variation.
give me time will think and say
Answer:
The new Yorker is a very different kind than the word
Can someone help me with this problem. It’s the Pythagorean theorem.
Answer:
x = 15/[tex]\sqrt{3}[/tex] and y = 30/[tex]\sqrt{3}[/tex]
Step-by-step explanation:
I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles
Solve for x- round to the nearest tenth- Trigonometry
Answer:
sin26=11/X
0.438371146789×x=11
X. = 11/0.438371146789
X=25.09289235975
30 points for RIGHT ANSWER
A vacation resort offers surfing lessons and parasailing. If a
person takes a surfing lesson and goes parasailing, she will pay
a total of $175. On Friday, the resort collects a total of $3,101 for
activities. How much does each activity cost?
After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.
What is an Expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question is,
Assume the cost of parasailing is x and the cost of surfing is y.
x + y = 175
Total number of people in Parasailing = 16 people
Total number of people in Surfing = 20 people
Total collection done by resort = $3,101
16x + 20y = 3,101
So, the equations will be,
16x+20y=3,101 (i)
x + y = 175 (ii)
Now, multiply the equation (ii) by 16 and solve the equation,
16x+20y=3,101
16x+16y= 2,800
4y = 301
Now, find the value of y,
y = 301/4
y = 75.25
Then, the value of x will be equal to,
x + y = 175
x+75.25 =175
Solve for x:
x=175-72.25
x = 99.75
To know more about expression:
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It seems that your question is not complete, the complete question should be:
A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?
Does this graph show a function? Explain how you know.
Answer:
C
Step-by-step explanation:
It passes the vertical line test
the vertical line test is taking a vertical line and putting it anywhere on the graph, and if it passes 2 points, it fails, and since if you put the line anywhere, it only passes one point of the parabala, so it passes the line test
Answer: C
Step-by-step explanation: The easiest way to determine if a
relation is a function is to use the vertical line test.
The vertical line test tells us that if we can draw a vertical line
that intersects more than one point on the graph of a relation,
then the relation is not a function.
However, in this case, notice that there is no way to draw a
vertical line that intersects more than one point on the graph.
Therefore, this relation must be a function.
Someone pls help me with these question
Answer:
the slope would be 2x
Step-by-step explanation:
Whenever you're given an equation y=mx+b, "mx" is what represents the slope whilst "b" represents the y-intercept
Is r<23 true or false
Answer:
Step-by-step explanation:
True
The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?
Answer:
First number = 75.5
Second number = 45.5
ANSWER FAST ITS DUE IN AN HOURRRRRR
Which expression is equivalent to -5(1+7x)+3(3+4x)
Answer:
0(2+14x)+6(6+8x)
Step-by-step explanation:
The mean number of minutes spent on a
treadmill at the local gym is 28 minutes with a
standard deviation of 8. If Kurt's z-score is
1.75, how much time did he spent on the
treadmill?
Answer:
With a z score of 1.75, mean of 28 and standard deviation of 8
1.75=(Xi-28)/8
14=(Xi-28)
42 = Xi
Kurt was on the treadmill for 42 minutes
Step-by-step explanation:
solve for x: x²+7x+45=0
Answer: x= -[tex]\frac{7-i\sqrt{131} }{2}[/tex],-[tex]\frac{7+i\sqrt{131} }{2}[/tex]
Step-by-step explanation:
Solve the equation by finding x, a, b, and c of the quadratic, then apply the quadratic formula.
Ms lebea, is a grade 10 mathematical literacy teacher at nkami high school gave learners a test out of 70 marks. She has 60 learners in her class and 35 are girls..
1.1 determine the number of boys in the classroom.
1.2 calculate the number of girls as a percentage of total learners in the classroom
1.3 what will be the ratio of girls to boys in the classroom.
1.4 calculate the actual pass mark of the test, if the pass percentage is 30% for the test
Answer:
1.2)60-35=25
therefore there are 25 boys in the class
1.2)35/60×100=58.333%
1.3)35:25
7 : 5
Solve this problem???
The denominator of the first term is a difference of squares, such that
4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)
So you can write the fractions as
(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)
Multiply through the second fraction by 2a - b to get a common denominator:
(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))
((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))
Expand the numerator:
(4a ² + b ²) - (2a - b)²
(4a ² + b ²) - (4a ² - 4ab + b ²)
4ab
So the original expression reduces to
4ab / ((2a - b) (2a + b))
or
4ab / (4a ² - b ²)
upon condensing the denominator again.
7. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7, find
the smallest possible value of m. (3 marks)
Answer:
187
Step-by-step explanation:
Triangle QRS has the following vertices - Q (-1, 1), R (1, 3), S (3, 1). Triangle QRS is translated 2 units right and 3 units down. What are the correct vertices of the translated triangle?
A
Q' (-1, 5), R' (1, 3), S' (3, 5)
B
Q' (-4, 3), R' (-2, 5), S' (0, 3)
C
Q' (1, -2), R' (3, 0), S' (5, -2)
D
Q' (1, -1), R' (-1, -3), S' (-3, -1)
The answer is number C
:)
An online pet store offers the hamster house shown in the figure below. Choose all of the expressions that could be used to find the volume of the hamster house. A solid shape is shown; two rectangular prisms are attached. The total length of the shape is 6 feet. One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet. The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet. A. ( 1 × 3 × 4 ) + ( 2 × 5 × 3 ) B. ( 1 × 3 ) + ( 4 × 2 ) + ( 5 × 3 ) C. ( 1 × 3 × 2 ) + ( 6 × 3 × 2 ) D. 3 × ( 1 + 4 ) + 2 × ( 5 + 3 ) E. ( 3 × 4 ) + 1 × ( 2 × 5 ) + 3
Answer:
Its E.(3 × 4) + 1 × (2 × 5) + 3.
All the correct expressions that could be used to find the volume of the hamster house are,
⇒ (1 × 3 × 4) + (6 × 3 × 2)
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
One rectangular prism has a length of 1 foot, width of 3 feet and height of 4 feet.
And, The second rectangular prism has a length as 6 feet, width as 3 feet and height as 2 feet.
Hence, Volume of first rectangular prism is,
⇒ 1 × 3 × 4
And, Volume of second rectangular prism is,
⇒ 6 × 3 × 2
Thus, All the correct expressions that could be used to find the volume of the hamster house are,
⇒ (1 × 3 × 4) + (6 × 3 × 2)
Learn more about the rectangle visit:
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The isotope Herodium-100 decreases by half every minute, Herodium-100 is there
isotope that gives a super hero their strength. Once the amount depletes to 4 ml, a
superhero becomes tired and need to leave the fight. If Mathman has 2000mL in his
body, when will he have to rest and replenish, rounded to the nearest minute?
Answer:
After about 9 minutes.
Step-by-step explanation:
We can write an exponential function to model the decay of Herodium-100.
We are given that it decreases by half every minute.
The standard exponential function is given by:
[tex]f(m)=A(r)^m[/tex]
Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).
Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.
And since it decreases by half every minute, r = 1/2. Thus:
[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]
Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:
[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]
Solve for m. Divide both sides by 2000:
[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]
We can take the natural log of both sides:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]
By logarithm properties:
[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]
Therefore:
[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]
Mathman will have to rest and replenish after 9 minutes.
Is v = 12 a solution to the inequality below?
V> 7
Answer: Yes
Step-by-step explanation: If V=12
Then we plug in for the inequality and get 12>7
The Broken Leg Basketball Boutique advertised a $40.00 basketball on sale for 10% off. What is the discount and the new price?
Answer:
$4 off
New price is $36
Step-by-step explanation:
Answer:
$4 discount.
$36 new price.
Step-by-step explanation:
40 x .10= 4
40- 4= 36
Help!!!!!!!!!!!!!!!!!?!?!??!!
Answer:
B
Step-by-step explanation:
I learned this a while ago, if you have the < symbol then you shade below the dotted line. You can get the rest.
2) Solve the system of equations using substitution.
2x – 9y = 14
x= -6y +7
Answer:
(7,0) ---> (x = 7) and (y = 0)
Step-by-step explanation:
2x – 9y = 14
x= -6y +7 <-- (Substitute for x to above equation)
---------------------------------------------------------------------------------------------------------
2(-6y +7)– 9y = 14
-12y + 14 - 9y = 14 <-- combine like terms
-21y + 14 = 14
-14 = -14 <-- inverse operation on both sides
-21y = 0 <-- Divide
y = 0 <--- Substitute for y to get x ↓
-------------------------------------------------------------------------------------------------------
2x – 9y = 14
2x – 9(0) = 14 <-- Substituted y from above
2x = 14 <-- Divide
x = 7
I need help trying to find the trig function for this problem
9514 1404 393
Answer:
x ≈ 136.7 ft
Step-by-step explanation:
As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...
Cos = Adjacent/Hypotenuse
For this triangle, that means ...
cos(43°) = (100 ft)/x
x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)
x ≈ 136.73 ft
The length x is about 136.7 feet.
Hi I need help please
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 62
8x = 72
x = 9
Which expressions are equivalent to the one below? Check all that apply. 49^x
Answer:
A,D,F
Step-by-step explanation:
Answer:
7^x•7^x, (7•7)^x, 7^2x
Step-by-step explanation:
Just took it, the other one is wrong