In right-angled triangle, the difference between two of the angles is 20 degrees. a) Work out the Size of the angles in the triangle. b) How many solutions are there to A?
Answer:
The sum of interior angles of a triangle is 180°
In a right triangle, one of the three angles is 90°. Therefore, the sum of the other two angles is 90°.
Let a = one unknown angle
Let b = the other unknown angle
As the sum of the angles is 90°:
⇒ a + b = 90°
As the difference between the two angles is 20°:
⇒ a - b = 20°
Rewriting the first equation to make a the subject:
⇒ a = 90° - b
Substituting this into the second equation and solving for b:
⇒ 90° - b - b = 20°
⇒ 90° -2b = 20°
⇒ 70° = 2b
⇒ b = 35°
Substituting found value for b into a = 90° - b and solving for a:
⇒ a = 90° - 35°
⇒ a = 55°
Therefore, the two unknown angles are 35° and 55°
Measure of each bisected angle of 60o is ___________
Answer:
30°
Step-by-step explanation:
The bisected angle of 60° will have a measure equal to half of it, which is 30°.
I need help finding the equation and graphing it.
Step-by-step explanation:
First find the slope with the equation y/x
80/50=8/5 (you want this in fraction form)
y-80=8/5(x-50)
y-80=8/5x-80
y=8/5x+0
the y-intercept is zero (so place a dot at the origin)
next, go up 8 values and then 5 to the right (5,8), continue to do this process until you have enough points to graph a line. (10,16), (15,24), (20,32)
Hope this helps!
find the measure of angle x in the figure
Answer: Hey I don't think this is the correct answer, but I think it's 128
Step-by-step explanation: 128 is probably the answer I'm very sorry if it's not correct!
The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two rectangular prisms. Prism 1 has a height of 10 inches, length of 20 inches and a width of 7 inches. Prism 2 is smaller and to the right of Prism 1. Prism 2 has a height of 4 inches, length is 20 inches and width is 4 inches. Marcus shipped 1 of the larger boxes and 2 of the smaller boxes. Which equations show the total volume of the boxes Marcus shipped? Select the three equations that apply.
Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.
What is the volume of a rectangular prism?The volume of a rectangular prism of lenght l, width w and height h is given by:
V = lwh.
Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:
V1 = 20 x 10 x 7 = 1400 in³.
Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:
V2 = 20 x 4 x 4 = 320 in³.
Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:
V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
Please help
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A company is making a steel reinforced concrete tunnel to prevent water from coming into the area. They are going to cover it with a protective coating.
They need to know the surface area of the tunnel to purchase the protective coating.
Calculate the surface area of the tunnel
The surface area of the cylinderical tunnel needed to purchase the protective coating is 452.16cm².
How to calculate the surface area?Your information is incomplete. Therefore, an overview of the surface area of a cylindrical tunnel will be given.
Let's assume that the radius is 4cm and the height is 7cm. The surface area of the tunnel will be:
= πr²h + 2πr²
= (3.14 × 4² × 7) + (2 × 3.14 × 4²)
= 351.68cm + 100.48cm
= 452.16cm²
In conclusion, the surface area is 452.16cm².
Learn more about surface area on:
https://brainly.com/question/16519513
A photo is reduced with a scale factor of 1 to 3. If the photo is now 4 inches wide, how wide was the original photo? Show the math.
Answer:
12 inches wide.
Step-by-step explanation:
It is reduced to a 1:3 factor. where 1 is the new length and 3 is the old length. We can write a proportion [tex]1:3=4:x[/tex]. Now, if four numbers are in a proportion we can cross-multiply and we get [tex]1x=3\cdot 4 \rightarrow x = 12[/tex].
What is the definition of an exponential equation?
Answer:
Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with the same base, use the property of equality of exponential functions
Choose the graph that represents the statement.
An acute angle is less than 90°.
An acute angle is less than 90° is shown in the second option. Hence, the second option is correct.
What is an acute angle?Acute angles are those that are smaller than 90° and fall between 0° and 90°; they are referred to as such. For example, temperatures of 60°, 30°, 45°, and others. An acute triangle is a triangle whose all internal angles are less than 90 degrees. An equilateral triangle is called an acute triangle if its internal angles measure 60°.
There are various types of angles, most commonly they are :
Acute angleRight angle Obtuse angleIn the second option, the circle is void, which means the angle is less than 90°. As we compare this with the first option the circle is filled, which means that the angle is equal to 90° which means that it is a right angle.
So, this concludes that the second option is correct.
To get more information about acute angles:
https://brainly.com/question/10334248
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Calculate the shaded area
Answer:
116 cm²
Step-by-step explanation:
area shaded = total area - area not shaded
πr² is the area of a circle
total area = πr² = π*(6.5cm)² = 132.732289614 cm²
area not shaded = πr² (note the radius is 2.3cm for the non-shaded portion) = π*(2.3cm)² = 16.6190251375 cm²
area shaded = total area - area not shaded = 132.732289614 cm² - 16.6190251375 cm² = 116.113264476 cm² ≈ 116 cm²
Divide.
−3/8÷−6/7
A.−7/16
B.−9/28
C.9/28
D.7/16
Answer:
-7/16
Step-by-step explanation:
what is AxB and we know b=100 and a=? and than make a-78=679
Answer:
A × B = 60100
Step-by-step explanation:
B = 100
A = ?
A - 78 = 679
A = 679 - 78
A = 601
A×B=601×100
=60100
Can someone help?
Find the product. Write your answer in factored form.
Answer:
2x+8/x^2-x-6
Step-by-step explanation:
=x^2+4x-1x-4
=(x-1)(x+4)
=x^2+2x+2x+4
=(x+2)(x+2)
=x^2-3x-1x+3
=(x-1)(x-3)
= (x-1)(x+4)/(x+2)(x+2) x 2x (x+2)/(x-1)(x-3)
= (x+4)(2)/(x+2)(x-3)
= 2x+8/x^2-x-6
Restrictions:
x cannot = -2, 1, 3,
Suppose the sample space for a continuous random variable is 0 to 400. If
the area under the density curve for the variable from 0 to 72 is 0.18, what is
the area under the density curve from 72 to 400?
A. 0.92
O B. 0.18
O C. 0.82
D. 0.982
Answer:
P(72 ≤ x ≤ 400) = 0.82. Correct: C.
Explanation:
Probability Distribution
In any probability distribution, the total probability of the sample space must be 1.
Since the sample space is given as a random variable x that takes values from 0 to 400, then:
P(0 ≤ x ≤ 400) = 1
For any value of x:
If the sample space is divided into two parts like:
P(0 ≤ x ≤ 72) and P(72 ≤ x ≤ 400), then the combined probability must be 1:
P(0 ≤ x ≤ 72) + P(72 ≤ x ≤ 400) = 1
Or, equivalently:
P(72 ≤ x ≤ 400) = 1 - P(0 ≤ x ≤ 72)
P(72 ≤ x ≤ 400) = 1 - 0.18
P(72 ≤ x ≤ 400) = 0.82
A. The value 0.92 is not correct since does not match with the value 0.82.
B. The value 0.18 is not correct since does not match with the value 0.82.
C. This is the correct value. Correct Choice
D. The value 0.982 is not correct since does not match with the value 0.82.
Answer: .82
Step-by-step explanation:
Took the test
A bicycle company needs to ship 328 bicycles across country. If they can fit 50 bicycles per truck, about how many trucks do they need?
A) 3
B) 5
C) 7
D) 10
Answer:
c) 7
Step-by-step explanation:
328/50 + 6.6
you have to round up to fit all the bicycles
Help me with this please and thanks
9514 1404 393
Answer:
89
Step-by-step explanation:
The arc intercepted by the inscribed 45° angle is twice that, 90°. The angle at x is half the sum of the intercepted arcs, so is ...
x = (90° +88°)/2
x = 89°
_____
Alternate solution
The inscribed angle intercepting the 88° arc will have half that measure, so is 44°. The triangle's exterior angle x will be equal to the sum of the remote interior angles:
x = 45° +44° = 89°
The length of a diagonal in a square is
32 inches. Find the perimeter of
the square.
Rs 7.65 + Rs 8.65please solve this for me
Answer:
16.30
Step-by-step explanation:
It is 16.30 because 8.65+7.65 = 16.30
help! how do I solve 3 and 4 ASAP
Please help!!
Distance is the number of units between two integers.
Use number line to find the distance between each pair
of integers
Y=
X=
Z =
Answer: X=1 units
Y= 5 units
Z=3 units
Step-by-step explanation:
Answer:
X=1 units
Y= 5 units
Z=3 units
Step-by-step explanation:
find the qoutient of 144/5 you have 5 minutes be quick
PLEASE HELP thanks!!
Answer:
b = 70
b = a = 70
b = c = 70
Step-by-step explanation:
snice b and 70 are opposite the top; they are equal.
b and a are alternate internal they are again equal so a is 70.
and finally a is equal with c because they are opposite at the top.
I hope I helped you! :)))
plz answer this is urgent.
Answer: 9 subtracted from y and multiplied by 2
Answer:
2y subtracted from 9
I hope this answer is correct.
Write an equation of the line with a slope of 4/5 and y-intercept of 0
Answer:
y = [tex]\frac{4}{5}[/tex] x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{4}{5}[/tex] and c = 0 , thus
y = [tex]\frac{4}{5}[/tex] x ← equation of line
A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. What transformations were applied to the building at site A to relocate the building to site B? Did the mayor change the size or orientation of the library?
The building at site A was translated _______ unit (s)right and _______ unit(s) down, then it was reflected across the x or y (select) - axis.
The size was or was not (select) changed.
The orientation was or was not (select) changed.
Answer:
2 right, 4 down, y-axis
Step-by-step explanation:
Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.
__
We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.
If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.
The building at site A was translated 2 units right and 4 units down; then it was reflected across the y-axis .
Help. (The 25. Is the question number.)
Basically, just plug in the expressions into the formula and simplify:
[tex]A = \frac{1}{2}*(3ab)*(7a^2b+11a^2b) = \frac{3}{2}ab*(18a^2b) = 27a^3b^2[/tex]
can you please answer that + here's something that will make you laugh
will mark brainlyest and 100 point
Answer:
The fourth and last answer is correct
Step-by-step explanation:
For the fourth one you have an exponent of an exponent, the base stays the same and the exponents get to be multiplied.
6^-1^16
For the last one both -8 x -2 and 8 x 2 equal 16.
What is the y intercept of the line y=.8x+3
Answer:
(0,3)
Step-by-step explanation:
to find the y-intercept, you plug 0 into the x, so
y=.8(0)+3
y=0+3
y=3
Can someone help me with this question??? WIll Mark brainiest!!!!!!!!!!!!!!!
Answer:
99y[tex]d^{2}[/tex]
Step-by-step explanation:
Answer:
90yd²
Step-by-step explanation:
Area pf trapezium = 1/2 * (sum of parallel sides) * perdendicular distance b/w them.
Here,
Sum of II sides = 11 + 9yd = 20yd
Perpendicular distance = 18 yd
So, area of trapezium is
1/2 * 20yd * 18yd = 180yd²
As the triangle inscribed is right - angled triangle, area of ∆ = 1/2 * 10yd * 18yd = 90yd²
Shaded area = total area - area of ∆
= 180yd² - 90yd²
= 90yd²
I will mark brainliest the first 2 people that answer my question first
Answer:
I believe it is 136° hope it helps