In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49
What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53
Answers
Related Questions
22
21. Admission to a science museum is $22
for an adult. The cost for a child is $5 less
than the cost for an adult. What would be
the total cost of admission for 12 adults
and 15 children? Explain.
Answers
Answer:
519
Step-by-step explanation:
We know the admission for adults is $22, and the kids ticket is 5 less.
22 - 5 = 17
now we know the kids ticket is $17
12 adult tickets - 22 x 12 = 264
15 children - 15 x 17 = 255
264 + 255 = 519
. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?
Answers
Answer:
4milesStep-by-step explanation:
Step one:
given
speed, v= 4mph
time taken t=1 hour
The velocity is defined and the rate of change of displacement
Required:
Distance traveled
we know that the expression relating distance, velocity and time is
velocity= distance/time
distance= velocity* time
substitute we have
Distance=4*1
Distance= 4miles
The distance traveled and the displacement of the honeybee in miles 4miles
what is the distance between the points (0,-7) and (0, -1)
Answers
Answer:
(0,6) is the answer.................
Answer: 6 but also (0,6)
Step-by-step explanation:
In the X-axis : 0, 0 the difference is 0
In the Y-axis : -7, -1 the difference is 6
Because -7+6= -1
What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x
Answers
Answer:
14 i hope this leads you into the good
The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?
A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
E. an online poll that invites all people from the neighborhoods in the area to participate
Answers
Answer:
defintly A
Step-by-step explanation:
because all the others are inconvenient and bad
Answer:
D
Step-by-step explanation:
Because you want to be able to see data from all neighborhoods.
The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?
Answers
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can run 3 miles in 60 minutes.
The time to run 1 mile is 20 minutes.
We have,
The rate at which the amount of seed decreases.
10.8 ounces = 5 days
Divide both sides by 5.
10.8/5 ounces = 1 day
Multiply 7 on both sides.
7 x 2.16 ounces = 7 days
15.12 ounces = 7 days
This means that in 7 days, the amount of seed decreases by 15.12 ounces.
Thus,
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
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Does the table represent a proportional or a nonproportional linear relationship?
Answers
Answer:
nonproportional
Step-by-step explanation:
proportional would mean that the y intercept is 0 but it's 3
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answers
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.
Answers
What’s 14/4 as a decimal
Answers
Answer:
3.5
Step-by-step explanation:
You would do 14 divided by 4! Hope this helped
Answer:
3.5
Step-by-step explanation:
14 divided by 4 equals 3.5
Kiara made the table below to show the IQ scores and grade point averages (GPAs) of students in her class. She made another table to show the standardized test scores and IQ scores.
IQ, GPA, and SAT Scores
IQ
GPA
IQ
Standardized Test Score
120
3.7
120
1540
85
2.3
85
800
110
3.0
110
1,200
96
2.7
96
1000
100
2.9
100
1100
She graphs the data in each table and writes the rounded values as shown for the regression line y = a x + b.
I Q and G P A. a = 0.04. b = negative 0.9. I Q and Standardized Scores. A = 20. b = negative 924.
Next, Kiara uses the steps below to predict a student’s standardized test score based on the student’s GPA of 4.0.
Step 1 Write the equation of the trend line for IQ and GPA.
y = 0.04 x minus 0.9
Step 2 Write the equation of the trend line for IQ and standardized test score.
y = 20 x minus 924
Step 3 Find the IQ that is expected from a GPA of 4.0.
y = 0.04 x minus 0.9. 4 = 0.04 x minus 0.9. 4.9 = 0.04 x. 122.5 = x.
The IQ is about 122.5.
Step 4 Find the corresponding standardized test score for an IQ of 122.5.
122.5 = 20 x minus 924. 122.5 = 20 x minus 924. y = 523.
The standardized test score is 523.
In which step did Kiara make the first error?
step 1
step 2
step 3
step 4
Answers
Answer:
Step 4 D
Step-by-step explanation:
Answer:
step 4
Step-by-step explanation:
Please Help ASAP!!!!!
Answers
Answer:
3.05 ft
Step-by-step explanation:
please help!!!!!!!!!!!
Answers
Answer:
x= 40
Step-by-step explanation:
The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.
Answer:
40
Step-by-step explanation:
[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]
please mark as brainliest
Anybody know the slope to this?
Answers
Chuck took a slice of pizza from the freezer and put it in
the oven. The pizza was heated at a constant rate. The
table compares the pizza's temperature (in degrees Celsius) and the time since Chuck started heating it (in minutes). 4 minutes is 25 degrees celsius, 6 minutes is 40 degrees celsius and 8 minutes is 55 degrees celsius. How many minutes will it take for the pizza to reach 100 degrees celsius?
Answers
Answer:
16 Minutes
Step-by-step explanation:
[tex]\frac{4}{25} \\ \\[/tex] = [tex]\frac{16\\}{100}[/tex]
Both the numerator and denominator is multiplied by 4.
Does 80/100 equal -8
Answers
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Answers
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
Simplify the expression:
5a - 2a + 9
Answers
Answer:
3a+9
Step-by-step explanation:
Answer:
3a+9
Step-by-step explanation:
5-2=3 then 3a=9 it pretty simple
What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12
Answers
Answer:
The solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]2x\:+\:2y\:+z\:=\:7[/tex]
[tex]-x-\:y\:+z\:=\:-5[/tex]
[tex]x+3y-4z=12[/tex]
solving the system of the equations by the elimination method
[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]-2x-2y+2z=-10[/tex]
[tex]+[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]3z=-3[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]2x+6y-8z=24[/tex]
[tex]-[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]4y-9z=17[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]
Rearranging the equations
[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]
solve [tex]3z=-3[/tex] for z:
[tex]z=-1[/tex]
[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]
solve [tex]4y-9\left(-1\right)=17[/tex] for y:
[tex]4y-9\left(-1\right)=17[/tex]
[tex]4y+9=17[/tex]
[tex]4y=8[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]
solve [tex]2x+2\cdot \:2-1=7[/tex] for x:
[tex]2x+2\cdot \:2-1=7[/tex]
[tex]2x+3=7[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Therefore, the solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answers
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot
Answers
Answer:
11.8 feetStep-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?
Answers
Answer:
the answer would be t56 im guess ing along with x
Step-by-step explanation:
The line of symmetry for the parabola represented by the equation is
x = 1.
What is a parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given an equation of a parabola, y = -x²+2x+6
Factorizing the equation, we get,
x = 1+√7 or x = 1-√7
We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.
We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:
(1+√7 + 1-√7)/2 = 1
Hence, the equation represents the line of symmetry of the given parabola is x=1.
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Expand and simplify (x + 3)(x-4)
Answers
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
what’s 8.43 x 10^7 in standard form?
Answers
Simply move the decimal place to the right 7 places
Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?
Answers
Answer:
The puppy's adult weight would be 25 lbs.
Step-by-step explanation:
5 / .20 = 25
To check:
25 x .20 = 5
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Write an integer for the situation: 1,464 feet above sea level
Answers
Answer:
The answer is 1,464.
The answer will be -1,464, when 1464 is "below sea level".
I hope it help you...
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answers
Answer:
Step-by-step explanation:
3x + y + 72 = 180
3x + y = 108 .... (1)
2x + y = 90 ..... (2)
(1) - (2)
x = 18°
y = 54°
Answer:
Step-by-step explanation:
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP
Answers
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answers
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.
Answers
Answer:
-2.4 · [tex]10^{5}[/tex]
Step-by-step explanation: