given that x = 7.4 m and θ = 32°, work out bc rounded to 3 sf.
(not drawn to scale)
Answers
Answer:
BC ≈ 11.8 m
Step-by-step explanation:
using the tangent ratio in the right triangle
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{x}{BC}[/tex] , that is
tan32° = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )
BC × tan32° = 7.4 ( divide both sides by tan32° )
BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )
Related Questions
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of Pi.
Pi feet cubed
Answers
The volume of the sphere with a diameter of 12 ft is calculated as: 288π feet cubed.
What is the Volume of a Sphere?The volume of a given sphere with a radius (r) is given as: V = 4/3πr³.
Given the following:
Diameter of the sphere = 12 ftRadius = 1/2(12) = 6 ft.Volume of the sphere = 4/3π(6³)
Volume of the sphere = 288π feet cubed
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Answer:
288 Is the answer : )
Step-by-step explanation:
I got it right on the test (100%)
I need help asap please? and this is for the math question? what is the missing angle?
Answers
Answer:
90
Step-by-step explanation:
its a right angle triangle so the angle between the adjacent and opposite is 90 degrees.Angles on a straight line add up to 180180-90=90Answer:
the missing angle or the missing exterior angle is 90
Step-by-step explanation:
180-90=90
if d is the midpoint of the segment AC
Answers
Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.
What is the line segment about?in the question given,
AC = 3cm,
Therefore, AD and DC will be = 1.5cm segments each.
We are given C as the midpoint of segment DB.
So CB = 1.5cm.
The representation of the line segment is:
A-----------D------------C-------------B
1.5 1.5 1.5
Since AD, DC and CB are each 1.5cm segments. Then the equation will be:
= 1.5 + 1.5 + 1.5
= 4.5
Therefore, The length of the segment AB is 4.5cm.
See full question below
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.
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Factor completely.
x² - 3x² - 4
Answers
Answer:
-2(x^2+2)
Step-by-step explanation:
1. x^2-3x^2-4
= -2x^2-4
2. -2(x^2+2) factor completely :)
Answer: - 2 (x² + 2)
Step-by-step explanation:
x² - 3x² - 4 ⇒ -2x² - 4 ⇒ - 2 (x² + 2) factor out - 2
4. In how many ways can all of the letters of the word NUMBERS be arranged if it
start with a consonant and end with a vowel? /2
Answers
Answer:
2400 words
Step-by-step explanation:
First choose the first letter. You have 5 choices of consonant for this.
Next choose the last letter. You have 4 remaining consonants for this.
Now you have 5 remaining letters which can be placed in any order.
So the answer will be:
5⋅4⋅5!
20⋅120
2400
7m
5m
6 m
4m
5 m
5m
What is the volume of the figure?
O 116 m³
O 190 m³
O 290 m³
x 390 m³
Answers
Answer:
290 m²
Step-by-step explanation:
The volume of the figure can be found by taking the sum of the volumes of the 2 cuboid.
[tex]\boxed{\text{Volume of cuboid}=\text{length}\times\text{breadth}\times\text{height}}[/tex]
Top cuboid
Length= 4 m
Breadth= 5 m
Height= 7 m
Volume= 4(5)(7)= 140 m²
Bottom cuboid
Length= 5 m
Breadth= 6 m
Height= 5 m
Volume= 5(6)(5)= 150 m²
Total volume
Total volume
= volume of top cuboid +volume of bottom cuboid
= 290 m²
Additional:
For a similar question on volume of composite figures, do check out the following!
https://brainly.com/question/1284145Seven candy bars will cost you $3.50. How much will one candy bar cost?
Answers
Answer:
50 cents
Step-by-step explanation:
The question is basically asking what is the unit price
So we simply do :
$3.50 ÷ 7 = $0.50 = 50 cents
Hope this helped and brainliest please
Answer:
$0.50
Step-by-step explanation:
let the cost of one candy bar = X
7 candy bar ---------------$3.50
1 candy bar ---------------- X
crodd multiplying
7×X = 3.50×1
7X = 3.50
dividing bothsides by
7X/7 = 3.50/7
X = 0.50
therefore, one candy bar will cost $0.50
Consider functions fand g.
f(x) = -x3
g(x) = |1/8x-1|
What is the value of (gof)(4)?
O A. -1/8
OB. 9
O C. -9
O D. 1/8
Answers
The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -x³
[tex]\rm g(x) = |\dfrac{1}{8}x-1|[/tex]
Plug x = 4 in the f(x)
f(4) = -4³ = -64
Plug the above value in the g(x)
[tex]\rm g(x) = |\dfrac{1}{8}(-64)-1|[/tex]
g(f(4)) = |-8-1| = |-9| = 9
Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.
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Please help! Giving brainlist!
Answers
Answer:
∠AXB or ∠PXQ or ∠AXQ or ∠PXB or ...
Step-by-step explanation:
A vertical angle is formed from the rays that are opposite the rays that form the original angle.
__
opposite raysThe rays forming angle CXD are rays XC and XD. The ray opposite XC will have end point X, and can be named by either of the two points shown on the ray: A or P. That is, rays XA and XP are opposite ray XC.
Similarly, rays XB and XQ are opposite ray XD.
vertical angleThe vertical angle can be named using either of the first pair of opposite rays with either of the second pair:
∠AXB, ∠PXB, ∠AXQ, ∠PXQ
Of course, the ray names can be reversed in the angle names:
∠BXA, ∠BXP, ∠QXA, ∠QXP
Altogether, there are 8 ways to name the vertical angle to ∠CXD.
¿Cuanto mide el ángulo central de un dedacagono?
Answers
Answer: 36°
Step-by-step explanation: 360° ÷ 10 = 36°.
Espero que esto te ayude!!
marry has to carry 323 apples from a farm to the market. how many baskets will she need, given that each basket can hold 48 apples?
Answers
Answer:
she will need about 7 baskets, the proper number is 6.7 but round up and its 7
Step-by-step explanation:
hope this helps!
Abrianna sold 20, 23, 18, 4, 17, 21, 15, and 56 boxes of cookies after different football games. Which data value(s) are outliers? Select all that apply.
Answers
The data values that are outliers are 4 and 56.
What is an outlier?
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.
In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.
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What are two limiting factors that affect both deciduous forests and grasslands?
1. very low rainfall throughout the year
2. seasonal changes in the amount of sunlight
3. a wide range of temperatures throughout the year
4. soil that is low in nutrients and organic matter
Answers
The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year , a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.
What are Grasslands ?The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.
The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.
and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .
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Match each equation to the line of best fit that it models.
arrowRight
arrowRight
arrowRight
Answers
By applying concepts of linear functions, the graphs are related to the following expressions:
(4/7) · x + 2x + 2(1/7) · x + 2- (1/7) · x + 2- x + 2How to match a line with a given linear functionGraphically speaking, lines are described by linear functions, a kind of polynomials of grade 1, whose standard form is presented below:
y = m · x + b (1)
Where:
x - Independent variabley - Dependent variablem - Slopeb - InterceptPlease notice that the slope is represented graphically by the change in the y-variable divided by the change in the x-variable and the intercept is the location where the line passes through the y-axis. Hence, the resulting expressions are shown in this order:
(4/7) · x + 2x + 2(1/7) · x + 2- (1/7) · x + 2- x + 2To learn more on linear functions: https://brainly.com/question/9330192
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I’m struggling to answer this can someone please help me I would highly appreciate it
Answers
Answer:
Not similar
Step-by-step explanation:
If you have scratch paper, its best to label the angles and sides given. You can also rotate the orientation of one of the triangles if that helps visually.
First lets look at the sides.
Notice the common factor between side AB and side XY.
14/7=2
Notice the common factor between side AC and side XZ.
22/11=2
So far so good right? Well, IF these triangles are similar, that means that angle X must correspond to angle A. Since corresponding angles of similar triangles are equal to each other, lets check of angle X is equal to angle A.
Angle X = 29 degrees
Angle A = 28 degrees
28 does not equal 29 degrees. Therefore, the triangles are not similar. If angles X and A were equal, than the triangles would have been similar due to the Side-Angle-Side rule (SAS).
Solve for X. Round to nearest tenth.
Answers
Answer:
x = 11.3
Step-by-step explanation:
[tex]cos(61^{o} )=\frac{5.5}{x}[/tex]
[tex]x=\frac{5.5}{cos(61^{o}) } =11.34[/tex]
Rounded to the nearest tenth:
x = 11.3
Hope this helps
Answer:
x ≈ 11.3
Step-by-step explanation:
using the cosine ratio in the right triangle
cos61° = [tex]\frac{DE}{DF}[/tex] = [tex]\frac{5.5}{x}[/tex] ( multiply both sides by x )
x × cos61° = 5.5 ( divide both sides by cos61° )
x = [tex]\frac{5.5}{cos61}[/tex] ≈ 11.3 ( to the nearest tenth )
3h
h
this pyramid has the same base as the prism, and its height is three times the height of the prism. what is the ratio of the volume of the
pyramid to the volume of the prism?
Answers
Answer:
volume of the pramind is 90332 ans And like
In the table, pattern A uses the rule add five pattern B uses the rule at 10 which statement is true every term in pattern b is 10 more than the corresponding term in pattern a every term in pattern B is two times the corresponding term in pattern A every term pattern B is 10 times the corresponding term in pattern A every term in pattern B is 1/2 the corresponding term in Pattern A
Answers
Every term in pattern B is two times the corresponding term in pattern A
The correct option is (B).
What is algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
Given:
pattern A uses the rule add five pattern
pattern B uses the rule add 10
if we take example
5x2=10 and comparable to pattern A x2 to get the next number.
Hence, every term in pattern B is two times the corresponding term in pattern A.
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The correct option is (B).
Triangle 1 has an angle that measures 26 ° and an angle that measures 53 ° .Triangle 2 has an angle that measures 26 ° and an angle that measures a ° where a≠53 °.
Based on the information, Frank claims that triangle 1 and triangle 2 cannot be similar.
What value of a will refute Frank's claim?
a=_____
Answers
Answer:
101 degrees
Step-by-step explanation:
The third angle in the first triangle would be 180 - (26+53) = 101 degrees
the angle in triangle 2 could be the 101 degree one
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answers
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
Question 7:
g is 60% of h
f is a third of g
Write the ratio f g h in its simplest form.
Answers
The ratio of f to g to h is:
1:3:5
How to write the ratio?
First, we know that g is the 60% of h, then we can write:
g = 0.6*h
Now we can write the 0.6 as a fraction, then 0.6 = 3/5.
g = (3/5)*h
So we can write:
5*g = 3*h
So the ratio of g to h is 3:5
Now, we know that f is a third of g:
f = (1/3)*g
3f = g
So the ratio of f to g is:
1:3
notice that the value that represents the proportion of g is 3 in both ratios, so we can just write:
The ratio of f to g to h is:
1:3:5
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Graph the line with the equation y=-x-6
Answers
Answer:
in the picture
Step-by-step explanation:
You need 2 points to graph a line.
▪︎ if x = 0, y = 0 - 6 => y = -6
1st point: (0, -6)
▪︎if y = 0, 0 = -x - 6 => x = -6
2nd point: (-6, 0)
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A pair of intersecting lines
B. A pair of parallel lines
C. A point
D. A single line
Answers
Answer:
A a pair of intersecting lines
Step-by-step explanation:
i got it right on the test bub
Answer: a pair of intersecting lines
Step-by-step explanation: i had many people help me know this is right
Which of the following represents the factorization of the trinomial below?
-3x²-18x²-24x
Answers
The following represents the factorization of the trinomial is -3x [ (x+2)(x+4)].
What is Trinomial?
A trinomial is a polynomial consisting of three terms or monomials.
Given polynomial:
-3x³-18x²-24x
Taking -3x as common, we get
=-3x(x²+6x+8)
Now, by factorization
=-3x (x²+4x+2x+8)
= -3x[x(x+4) + 2(x+4)]
= -3x [ (x+2)(x+4)]
Hence, the factorization is -3x [ (x+2)(x+4)].
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Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
Answers
Answer:
175 Kg
Step-by-step explanation:
Convert 385 pounds into kg given the fact that 1 kg = 2.2 pounds.
385 : 2.2 =
175 Kg
----------------
I will give brainlest to the first person to answer thats right!!!!!!!!!
mr. and mrs. jones are trying to decide which of their five children will help wash the family dishes. mrs. jones writes the names of the 3 boys and the 2 girls on different pieces of paper and places them in a bag. mr. jones will select one name and then select another name. what is the probability that two boys will be selected? simplify your answer.
Answers
The probability that two boys will be selected is 0.3 .
What is Probability ?Probability is defined as the study of likelihood of an event.
It has the range of 0 to 1.
Probability is equal to the ratio of possibility of an event to total occurrences
It is given in the question that
There are total 5 children , 3 boys and the 2 girls
Total outcome = 5
The probability of selection of first boy is 3/5
Total outcome = 4
No. of boys left to be selected = 4
The probability of selection of second boy is 2/4
Therefore the probability that two boys will be selected
= (3/5)*(2/4)
= (3/5)*(1/2)
=3/10
= 0.3
the probability that two boys will be selected is 0.3 .
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Answer:It is B i promise!!! i just got it right!
Step-by-step explanation:
Please and thank you :)
Answers
Answer:
8
Step-by-step explanation:
use tangent so opp/adj
9/tan4 which equals 7.7 or 8
Match the given side or angle to its measure using the parallelogram below.
Answers
Answer:
A=108
B=22
C=51
D=28
Step-by-step explanation:
A= AFB is a vertical angle opposite 108
B= congruent angles congruent sides, 11 x 2 sides
C= using angle rules, alternate interior angles of 21 puts 21 in the
triangle with 108, all triangles sum total 180, so (180-21=51)
for the 3rd angle ACD
D=last answer
find the angle of elevation of the sun if a building 325 feet tall casts a shadow 296 feet long
Answers
Answer:
Step-by-step explanation:
SOH CAH TOA
we have the (opposite) --> 325
we have the (adjacent) --> 296
so do the inverse tan of opposite over adjacent...
[tex]tan^{-1} (\frac{325}{296} ) = 47.67[/tex] degrees
a cube has volume 125 cubic inches, what is the surface area of the cube
Answers
Answer:
150 square inches.
Step-by-step explanation:
[tex]V=s^3[/tex]
s=125
[tex]s=\sqrt[3]{125} =5[/tex]
Therefore, total surface of a cube = [tex]6*s^2[/tex]
=6×5×5
[tex]150 in^2[/tex]