Answer:
ABC 2.44
BDC 1.22
DCA 1.22
Step-by-step explanation:
area of a triangle=bh1/2
to find height, use pythagorean theorem a^2 + b^2 =c^2
for ABC, height (1.95) times base(2.5) divided by 2
ABC is bisected so DCA and BDC are congruent, meaning once you've found the area of one of those triangles, you have found both areas.
Cut 2.5 in half to find the base of BDC/DCA.
base (1.25) times height (1.95) = 1.22
Answer:
ABC 2.44
BDC 1.22
DCA 1.22
Step-by-step explanation:
if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long?
Answer:
3inchs
Step-by-step explanation:
So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3
A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?
–2.67
–1.67
1.67
2.67
Answer:2.66
Step-by-step explanation:
The z-score for this delivery time is 2.67
What is z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given,
Restaurant delivers orders within 30 minutes
The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27
One particular order delivery took 35 minutes(X)= 35
ц = 27
σ = 3
X = 35
z-score = (X-ц )/σ
Substitute the values,
z-score = (35-27 )/3
z-score = 8/3
z-score = 2.67
Hence, the z-score for this delivery time is 2.67.
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Help me please, which postulate proves these two triangles are congruent?
Answer:
C
Step-by-step explanation:
These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.
I hope this helps! :)
An expression is shown: 4.58 + 0.079 What is the value of the expression
Answer:
4.659
Step-by-step explanation:
4.58
+0.079
4.659
f−1(f(x)) = f(f−1(x)) =
Given:
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]
To find:
The missing value.
Solution:
We have,
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex] ...(i)
We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then
[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex] ...(ii)
From (i) and (ii), we get
Missing value = [tex]x[/tex]
Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].
Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?
Answer:
The original price of the lawnmower is $ 1,528.
Step-by-step explanation:
If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:
100 - 9 = 91
91 = 1,390.49
100 = X
(100 x 1,390.49) / 91 = X
139.049 / 91 = X
1.528 = X
Thus, the original price of the lawnmower is $ 1,528.
Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?
Answer:
after 2 secsStep-by-step explanation:
The paths crossed at when the height are equal i.e when f(x) = g(x)
Given
f(x)=−x^2+2x+4
g(x) = 2x
IF f(x) = g(x), then;
−x^2+2x+4 = 2x
−x^2+2x+4 - 2x = 0
−x^2+4 = 0
-x^2 = -4
x^2 = 4
x = ±√4
x = 2 and -2
Time cannot be negative
Hence x = 2
The path crossed after 2 seconds
what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=4^x[/tex]
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]
[tex]k=0[/tex]
In other words, the range is all positive real numbers.
Thus,
[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Does -3/4 equal 3/(-4)?
Answer:
Yes
Step-by-step explanation:
When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
degree of precision 15.68 x 1.1
Answer:
15.68×1.1 = 17.248 so if we see then it has 5 sig figs
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?
If there are 2.54 centimeters in an inch and 12 inches in a foot . How many centimeters are in 3 feet ?
Answer - 91.44
Step-by-step explanation:
3 feet = 36 inches
1 inch = 2.54 centimeters
2.54 x 36 = 91.44
What's the answer to
2(-8+5)+6
Answer:0,zero
Step-by-step explanation: 2(-8+5)+6
first we do the equation in the parentheses (PEMDAS) which equals -8+5=-3
-3 times 2=-6+6=0
Please help me I beg!
Answer:
38.9
Step-by-step explanation:
There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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The perimeter of the square below is 36 yards. What is the length of each side?
yards
Answer:
9 yards
Step-by-step explanation:
36 divided by 4 = 9
The length of each side is 9 yards.
What is perimeter?A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.
Given:
The perimeter of the square below is 36 yards.
The length of each side,
= perimeter/ number of sides.
= 36/4
= 9 yards.
Therefore, each side is 9 yards.
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the perimeter of the ussoscales triangle is 48cm calculate the length of BC
Answer:
where is the pic............
(x - 3)(x + 4) = x^2+4
Answer:
x=16
Step-by-step explanation:
Find the missing side ?
Answer:
37
Step-by-step explanation:
Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)
Answer:
6(7+)
Step-by-step explanation:
1) Start by solving the original equation
42 + 12 = 54
2) Solve the other equations until you find a match
2a) Start with what's in the parenthesis
7(6+5) = 7(11) = 77
2b)
2(40+6) = 2(46) = 92
2c)
6(7+2) = 6(9) = 54
This is your answer
2d)
10(32+2) = 10(34) = 340
Answer: 6(7 +2)
Step-by-step explanation:
Calculate 42 + 12, which is 54.
Calculate 7(6 + 5), which is 7 * 11 = 77.
Calculate 2(40 + 6), which is 2 * 46 = 92.
Calculate 6(7 + 2), which is 6 * 9 = 54.
Calculate 10(32 + 2), which is 10 * 34 = 340.
And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)
Answer:
49
Step-by-step explanation:
49 + 14 = 63
so that means:
x = 49
can someone hep me with this
Answer:
What do you need help with?
Step-by-step explanation:
It takes Andrew 4 min to swim 5 laps how many laps per min
Answer:
0.8 laps per min
Step-by-step explanation:
4 min / 5 laps
4/5 = 0.8
given f(x)=2x-5, find x when f(x)=9
Answer:
x = 7
Step-by-step explanation:
9 = 2x - 5
add 5 to both sides
14 = 2x
divide by 2 to get x by itself
x = 7
Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
percent of the teachers showed up for work?
Answer:
69%
Step-by-step explanation:
PLEASE HELP!!! (20 POINTS)
Is it true that [20+(−1)0]0=1? Explain.
A.No, because the negative sign will cancel the values, resulting in zero.
B.Yes, because the negative sign will cancel the values, resulting in one.
C.No, because any number raised to the zero power is zero.
D.Yes, because any number, except zero, raised to the zero power is one.
help been out of school so long don't remember how to do this !
Answer:
2,1
Step-by-step explanation:
Find where both lines meet. Then the x coordinate comes first then the y .
How do you write 7/10 as a percentage?
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
Simplify the expression.
3(2+q)+15 simplified is
Answer:
3q+21
Step-by-step explanation:
Answer:
brainliest plsssss
Step-by-step explanation:
Let's simplify step-by-step.
3(2+q)+15
Distribute:
=(3)(2)+(3)(q)+15
=6+3q+15
Combine Like Terms:
=6+3q+15
=(3q)+(6+15)
=3q+21