Answer:
Option B
<F = 26°
<D = 64.01°
FD = 89
Answered by GAUTHMATH
For right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
What is hypotenuse?It is the longest side of the right triangle.
What is Pythagoras theorem?For a right triangle,
[tex]a^{2}+ b^{2} = c^{2}[/tex], where c is hypotenuse and a, b area other two sides of the right triangle
For given example,
We have been given a right triangle EFD with hypotenuse FD.
Also, EF = 80, ED = 39
Using the Pythagoras theorem,
[tex]\Rightarrow FD^{2}= EF^{2} + ED^{2}\\\\ \Rightarrow FD^{2}= 80^{2} + 39^{2}\\\\ \Rightarrow FD^2 = 6400 + 1521\\\\ \Rightarrow FD^2 = 7921\\\\\Rightarrow FD = 89[/tex]
Consider, sin(F)
[tex]\Rightarrow sin(F)=\frac{ED}{FD} \\\\\Rightarrow sin(F)=\frac{39}{89}\\\\ \Rightarrow sin(F)=0.4382\\\\\Rightarrow \angle F=sin^{-1}(0.4382)\\\\\Rightarrow \angle F=25.98^{\circ}\\\\\Rightarrow \angle F\approx 26^{\circ}[/tex]
Now, consider sin(D)
[tex]\Rightarrow sin(D)=\frac{FE}{FD}\\\\ \Rightarrow sin(D)=\frac{80}{89}\\\\ \Rightarrow \angle D = sin^{-1}(0.8988)\\\\\Rightarrow \angle D = 64.009^{\circ}\\\\\Rightarrow \angle D \approx 64.01^{\circ}[/tex]
Therefore, for right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
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Please help me i need the answer right now. The lesson is Rational Root Theorem.
Step-by-step explanation:
1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the
x+4.(3x+1)(x)The volume is 720.Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is[tex](3x + 1)(x + 4)[/tex]
[tex](3 {x}^{2} + 13x + 4)x = 720[/tex]
Multiply it by x.
[tex]3 {x}^{3} + 13 {x}^{2} + 4x = 720[/tex]
[tex] 3{x}^{3} + 13 {x}^{2} + 4 x - 720[/tex]
The possible roots
The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be
[tex]x = 5[/tex]
2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.
Let check via synethic division to see which are roots.
Let try 1 and -1 first. If we plug 1 into the equation, we get
[tex]1 - 2 - 5 + 6 = 0[/tex]
So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in
[tex] {x}^{2} - x - 6[/tex]
We can then factor this into
[tex](x - 3)(x + 2)[/tex]
So our roots or factors is
[tex](x - 1)(x - 3)(x + 2)[/tex]
If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
Answer:
32 years
Step-by-step explanation:
8x12 because there are 12 inches in a foot
8x12=96
96/3
96/3=32
Answer:
32 years
Step-by-step explanation:
y = years
1 foot = 12 inches
12 × 8 = 96
Now, plug in random numbers into the expression below to find how long it takes for the tree to grow 8 feet.
3y
3 × 10 = 30
3 × 20 = 60
3 × 30 = 90
3 × 31 = 93
3 × 32 = 96
It will take the pine tree 32 years to grow 8 feet, or 96 inches.
I need help what’s the answer?
Answer:
30 words per minute
Step-by-step explanation:
Take the number of words and divide by the number of minutes
150/5 = 30
300/10 =30
450/15 = 30
600/20 = 30
30 words per minute
Answer:
janae types 30 words each minutes.
Step-by-step explanation:
if 5minutes = 150 words
[tex]1 \: minute = \frac{150words}{5minutes} [/tex]
[tex] = \: 30words[/tex]
what is a = with a ~ thing on top?
Use a calculator to determine the unknown angle, to the nearest degree, in each of the following expressions.
tan A = 5/4
cos G = 0.88
Answer:
Using a calculator;
A is approximately 51.34°
G is approximately 28.36°
Step-by-step explanation:
Part 1
The given trigonometric ratio is presented as follows;
tan A = 5/4
Therefore, the angle, A = arctan(5/4)
Using a calculator, the value of A is found as follows;
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Entering 5/4 into the calculator, using the keypad
3 . Selecting the arctan button to give, A ≈ 51.34°
Part 2
The given trigonometric ratio is cos G = 0.88
Therefore, G = arccos(0.88)
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Enter 0.88 into the calculator by typing
3. Select arccos from the function menu, to give
arcos(0.88) = G ≈ 28.36°.
which point is on the line that passes through point H and is perpendicular to line FG?
Answer:
The correct answer is (-6, 10).
Step-by-step explanation:
You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.
Feel free to message me if you still have questions :)
Answer:
(–6, 10)
Step-by-step explanation:
The fraction 9/7 is equivalent to?
9/7 is equivalent to 18/14 or 27/21 or 36/28 etc
Answered by Gauthmath must click thanks and mark brainliest
Find the value x ……….
Answer: 6 because it more than thd base and less than the other triangles leg
Step-by-step explanation:
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^2 = y^2 + 25[/tex]
[tex]\frac{y}{11} = \frac{5}{y}[/tex]
[tex]y^2 = 55[/tex]
[tex]x^2 = 80\\x = \sqrt{80} \\x= 4\sqrt{5}[/tex]
Question 8(Multiple Choice Worth 5 points) (01.01 MC) Which number line best show how to solve -4 - (-8)?
Answer:
4
Step-by-step explanation:
-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8
A stationer buys a gel pen Rs 20 and sells it at 20% profit.For what price should he buy it so that he can make 25% profit by selling for the same selling price.
Answer:
Current selling price = Rs 20 × 120 %
= Rs 24
Cost price should be [100 ÷ 125 ] × 24
= Rs 19.20
If a zero is
, then the graph of its function only touches the x–axis at that zero.
Answer:
Step-by-step explanation:
Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.
The midpoint of AB is M(1,1). If the coordinates of A are (3, 3), what are the coordinates of B?
Answer:
The answer in (-1,-1) because it goes down by x-2 and y-2
please help. i need this done today
Answer:
herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final
There are 5 seats in a bus. In how many different ways if there are 5 children. How many different ways are there if there are 4 children, and how many different ways are there if there are 3 children.
Answer:
5=1
4=5
i don't really know for the third one sorry but it's more than 11
Step-by-step explanation:
Can somebody help me Answer to this ??
X=7
c is the answer:
[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]
what are the points for the equation y +2 = - 3/4 (x+4)
Answer:A(1,-5)
B(6,-8)
Step-by-step explanation:
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder
Answer:
Lateral surface area= circumference*height
120=12*h
h=10cm
Answer:
h=10 cm
Step-by-step explanation:
cicumference of a circle C=2πr=12
lateral surface area of cylinder=2πrh
120=12h
h=120/12=10 cm
A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.
Answer:
1beg-------------50kg
10beg------------x
x=500kg to grames 500×1000=500000grams
Answer:
500000g
Step-by-step explanation:
first of you multiply the 50kg with the 10 bags
which gives 500kg
then you convert 500kg to grams
which is 500kg/1×1000g/1kg
when you cancel out the kg what is left is to multiply both sides and then you get 50000g.
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
Given JIH~ LMN. what is the value of LN?
Answer:
7 units
Step-by-step explanation:
In similar triangles, corresponding sides are same ratio.
[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]
Help me pls‼️‼️‼️❤️❤️
Answer:
= 50%
Step-by-step explanation:
There is one point, random number = 1
There are two circles, sample space = 2
[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]
Answer:
25%
Step-by-step explanation:
1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex] [tex]A = \pi 1^{2} = \pi[/tex]
2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage
3. 0.25 = 25%
Someone plz help me and show the work 10 points!
Answer:
78°
Step-by-step explanation:
you have to add it up and then divide after multiply
Write the y-intercept of the line
Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.
Hope this helps :)
Step-by-step explanation:
Which system is equivalent to y=-2x^2 y=x-2
a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2
Answer:
answer C
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
