1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm
Answers
Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.
Now using the Pythagorean theorem you can find the height:
Height - sqrt(1.2^2 - 0.75^2)
Height = sqrt(1.44 - 0.5625)
Height = sqrt(0.8775)
Height = 0.93675 meters
The height of the tent is smaller than the height of Suzie so she cannot stand up.
Related Questions
What are the coordinates of the terminal point determined t= 10pi/3?
Answers
we know that :
10*pi/3------> convert to degrees------> 10*180/3=600 degrees
600=360+240
240 degrees belong to the III quadrant so
the x-coordinate is negative
the y-coordinate is negative
240°=180°+60°
60 degrees is the angle to find the terminal point
let ∅=60°
in the unit circle
r=1 units
x=-r*cos ∅----> x=-cos 60------> x=-(1/2)
y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2
the point is ( -1/2 , -√3/2)
(4,-5) with slope of 2
Answers
that's a point slope form so
y +5 = 2(x -4)
Solve T=L(2+RS) for R
Answers
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
Find the missing side of triangle
Answers
Answer:
Download gauthmath it will help Jesus loves you
Can anyone plz solve this question step by step ASAP!
Answers
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answers
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
work.
(b) Determine the sum of the exterior angles.
Answers
Answer:
A.1800 B.360
Step-by-step explanation:
a- 12-2×180=1800
b- 30x12=360
what is 5cd
when c = 3
and d = 4
Answers
Answer:
60
Step-by-step explanation:
5*3*4
what is the degree of the polynomial below
Answers
Answer:
d
Step-by-step explanation:
trust me gang
Answer:
the degree is the value of the highest exponent... 4x^3 the exponent is a three
answer "D"
Step-by-step explanation:
Which expression is equivalent to (3^2)^-2
Answers
Answer:
1/3^4
1/81
Step-by-step explanation:
(3^2)^-2
We know that a^b^c = a^(b*c)
3 ^(2*-2)
3^-4
We know that a^-b = 1/a^b
1/3^4
1/81
Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -1.
Answers
Answer:
y=3/5x-1
Step-by-step explanation:
A worker can complete the assembly of 15 cell phones in 6hrs. At this rate, how many can the worker complete in a 40hrs work week?? With full workin!!
Answers
Answer: 100 cell phones.
Step-by-step explanation:
The worker makes 2.5 phones an hour. 2.5 x 40 = 100.
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
Please hurry I will mark you brainliest
What are the slope and y-intercept of this line?
Answers
Answer:
y=2x-1
Step-by-step explanation:
The slope is 2/1=2 and the y-intercept is -1.
Answer:
Slope = 2, Y intercept = -1
Step-by-step explanation:
For the Slope use Rise/Run to calculate (you go two up and 1 over which means 2/1 which equals 2).
For the Y intercept find where the line intersects the Y Axis which is -1.
Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now
Answers
Answer:
19. 11
21. 119
Step-by-step explanation:
19.
(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =
= (-5)² - [4(-6 + 4)² + 3] + 5
= (-5)² - [4(-2)² + 3] + 5
= (-5)² - [4(4) + 3] + 5
= (-5)² - [16 + 3] + 5
= 25 - 19 + 5
= 6 + 5
= 11
21.
5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)
= 5 - 8[6 - 4 - 14] - 3² · (-2)
= 5 - 8[2 - 14] - 3² · (-2)
= 5 - 8[-12] - 3² · (-2)
= 5 - (-96) - 9 · (-2)
= 5 + 96 + 18
= 101 + 18
= 119
the circumference of a circle is 11pi ft. find its diameter, in feet
Answers
Answer:
The diameter would be 11 feet
Step-by-step explanation:
C = pi * d
we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:
C/pi = d
Now we plug in everything
11pi/pi = d
The pi cancel each other out leaving with 11 feet
Therefore D = 11 feet
Confused on this one
Answers
Answer:
2nd is the correct answer for your question
Substitute 1/2 for x.
First term is 6 (1/2)^4
1/2 x 1/2 x 1/2 x 1/2 = 1/16
6 x 1/16 = 6/16
geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!
HELP ASAP!!!
THANK YOU SO MUCH:)))
Answers
Answer:
56 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 (14) (8)
A = 56 cm^2
Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.
Answers
Answer:
1/84Step-by-step explanation:
Total people:
3 + 6 = 9Probabilities of men:
P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7Required probability is:
P(first 3 men) = 1/3*1/4*1/7 = 1/84What is the value of the expression 53.5-5? please explain
Answers
Reason- an expression is an equation without an equal sign and this expression is saying 53.5 - 5.
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
Find the value of x. Round
the nearest tenth.
Answers
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
Find max, min of f(x)=|x^2+4x-5| (x∈[-3;0])
Answers
Write an expression for the area and the perimeter of this rectangle. The rectangle has a length of 15 and a width of x-5
Answers
Answer:
Area: 2(15 + (x - 5))
Perimeter: 2(15)+2(x - 5)
Step-by-step explanation:
To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.
Area: 2(15 + (x - 5))
To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.
Perimeter: 2(15)+2(x - 5)
Hope this helped.
The point slope form of the equation off the line that passes through (-4, -3) and (12, 1) is y -1=1/4(x-12). What is the standard form of the equation for this line ?
Answers
Y-1=1/4x-3
Y=1/4x-3+1
Y=1/4x-2
Now write it in standard form ax+by+c
-1/4x+y=-2
It’s better not to have a negative in front so y-1/4x=-2
Determine which lines are parallel and which are not parallel. Explain your reasoning.
1. m∠3=69°, m∠7=71°
2. m∠3=76°, m∠8=114°
(please explain!!)
Answers
Answer:
If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.
So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.
Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:
angle 3 and angle 7 should be equal.
Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.
Here we have two cases:
1) m∠3=69°, m∠7=71°
Here we can see that:
m∠3 ≠ m∠7
Thus, lines R and S are not parallel.
And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.
2) Now we have that:
m∠3=76° , m∠8=114°
Notice that angle 8 and angle 7 are adjacent, then we have that:
∠7 + ∠8 = 180°
And we know that:
∠8 = 114°
Then:
∠7 + 114° = 180°
∠7 = 180° - 114° = 76°
Then we have:
∠7 = ∠3
From this we can conclude that lines R and S are parallel.
(again, we can not do anything with lines N and M)
A square has an area of 49 cm squared what is the length of each side
Answers
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?
Answers
Answer:
780
Step-by-step explanation:
Let x be the original price
x - x*72% is the new price
x - .72x = 218.40
.28x = 218.40
Divide each side by .28
.28x/.28 = 218.40/.28
x =780
Find the measure of the indicated angle to the nearest degree
Answers
Answer:
16 degrees
Step-by-step explanation:
Tan(?) = perpendicular/base
Tan(?) = 13/46
?=arctan(13/46)=16
SOME ONE PLEASE ACTUALLY HELP ME
Answers
Answer:
y = 658.3 ft
Step-by-step explanation:
x = 745.5 ft
y = 658.3 ft
tan 28 = 350/y
y = 658.3
Answered by GAUTHMATH
Answer hurry which one 1 2 3 or 4?
Answers
Answer:
Option: 1Step-by-step explanation:
Let,
Footprints that Adele will find be = f
So, Footprints that Yumiko finds = 2f = f + f
Since,
As given that,
Yumiko finds 16 Footprints so it will be,
2f = f + f = 16
And,
f = 16 / 2
= 8
Which is half of Footprints found by Yumiko.
So the bar model 1 represents it correct.
Answer:
option 1
Step-by-step explanation:
i did the quiz
