Answers
Given:
The diagram of two right triangles.
To find:
The value of d and a.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
(a) In first triangle,
[tex]\tan 60^\circ=\dfrac{d}{4}[/tex]
[tex]\sqrt{3}=\dfrac{d}{4}[/tex]
[tex]4\sqrt{3}=d[/tex]
Therefore, [tex]d=4\sqrt{3}[/tex].
(b) In second triangle,
[tex]\sin 45^\circ=\dfrac{a}{2}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{a}{2}[/tex]
[tex]\dfrac{2}{\sqrt{2}}=a[/tex]
[tex]\sqrt{2}=a[/tex]
Therefore, [tex]a=\sqrt{2}[/tex].
Related Questions
Use picture
Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7
Answers
X= -2 and -7
What is the Volume of a hexagonal pyramid shown if the hexagon has a side length of 4 inches and the height of the pyramid is 12 inches?
Answers
Answer:
166.24 in³Step-by-step explanation:
Volume formula:
V = 1/3 Bh, B-base area, h- heightBase area:
B = 3√3a² / 2 = 3√3*4² / 2 = 41.57 in (rounded)Volume:
V = 1/3*41.56*12 = 166.24 in³How many right angles are there in an angle that turns through 360º?
Answers
4 right angles
90 + 90 + 90 + 90 = 360
However, it that figure is a circle-- it may include 0 right angles since circles have no angles.
Number 16 please help 10 points no links pleAse
Answers
Directions: Write your scale factor as a fraction. For example, if your scale factor is you should type
1/2. Make sure you completely simplify all fractions!
The polygons below are similar. Give the scale factor of figure B to figure A.
Answers
Answer:
scale factor of 4
Step-by-step explanation:
16÷4=4
8÷2=4
A car rental company charges a $50 flat fee and an additional $20 per day. A second company also
charges a flat fee plus an additional cost per day. This tables the cost to rent a car from the second
car company
What is the absolute value of the difference, in dollars, between the flat fees the two companies
charge?
Enter your response here:
Days
2
4
Cost
$130
$160
$175
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . ,and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
5
Answers
The difference between the flat fees of the two companies is $20
find value of x. 58degrees 22 side length (right angle triangle)
Answers
Answer:
638
Step-by-step explanation:
A triangular pyramid has a height of 27 meters and a base with an area of 575 square meters. What is the volume of the pyramid?
Answers
Answer:
5175cm³
Step-by-step explanation:
Volume =1/3 base area * height
1/3 *575*27
=5175cm³
whats the answer on this question
k + 12 = g + 12
Answers
K + 12 = g + 12
Step 1: flip the equation
g + 12 = k + 12
Step 2: Add -12 to both sides
g + 12 = k + 12
-12. -12
Answer: g = k
can someone help me?? i’ll mark brainlist
Answers
A bag contains red and blue marbles, such that the probability of drawing a blue marble is an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the range of the random variable? a. {1, 2, 3} c. {6, 7, 8} b. {0, 1, 2} d. {8, 9, 10} Please select the best answer from the choices provided A B C D
Answers
Answer:
Step-by-step explanation:
a
A batch of 24 cupcakes requires 9 ounces of flower. Julio made 132 cupcakes for the bake sale. How many pounds and ounces of flower did he use?
Answers
Answer:
49.5 ounces the flower
3 pounds, 1.5 ounces
Step-by-step explanation:
Given that :
24 cupcakes 9 ounces of flower
Number of ounces of flower required for 132 cupcakes will be x
Using cross multiplication method :
24 cupcakes = 9 ounces
132 cupcakes = x ounces
Cross multiply :
24 * x = 132 * 9
24x = 1188
divide both sides by 24 to isolate x
x = 49.5
Hence, 49.5 ounces the flower is required for 132 cupcakes
To express in pounds :
1 pound = 16 ounces
49.5 ounces = 3 pounds 1.5 ounces
Rahim was asked to make p the subject of this formula
Q = -7
He started his answer as follows
3Q = p - 21 hence p =
Complete Rahim's final answer.
Answers
Answer:
P =3Q +21
Step-by-step explanation:
Given: Rahim was asked to make p the subject of this formula
Q = p/3 - 7
He started his answer as follows
3Q = p - 21 hence p =
To Find, Complete Rahim's final answer.
Solution:
Q = p/3 - 7
Multiply both sides by 3
3Q = 3(p/3 - 7)
3Q = 3 × p/3 - 3 × 7
3Q = p - 21
Adding 21 both sides
3Q + 21 = p -21 +21
3Q + 21 = p
interchange sides
p = 3Q + 21
hence p =3Q +21
Pls help me I don't understand!!!!!!!!
Answers
Answer:
13 large 8 small
Step-by-step explanation:
mark the other person brainliest plz
The tree was 8.5 inches when it was planted. The tree grew 1.5 inches each year.
Can anyone do it pleaseeeee
Answers
Answer:
hi
Step-by-step explanation:
probably it must be like this,
8.5+1.5=10 in
hope it helps
have a nice day
please help for brainliest
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Answers
Answer:
841.6 ft
Step-by-step explanation:
Solve this using the quadratic formula.
y=-16x^2+212x+139 becomes -16x^2 + 212x + 139. The x-value of the axis of symmetry is
-212
x = ----------- = 6.625 (This time measurement is in seconds.)
2(-16)
The maximum height reached by the rocket is the y value when x = 6.625 and is y(6.625) = 841.6 ft
If you flip a coin 7 times what is the probability that you will get exactly 2 tails
Answers
Answer:
The answer is 2/7.
Step-by-step explanation:
If you flip a coin 7 times then 7 is the denominator, which stands for the total amount of times you flipped the coin. The numerator is 2, which is the amount of times you land on the same thing, in this case, landing on tails.
Hope this helps!
-Luna
A right rectangular prism is 6 cm by 14 cm by
5 cm. What is the surface area of the right
prism?
Answers
Step-by-step explanation:
answer is 360 square centimeters
For every 1 circle there are
3 triangles, therefore the simplified
ratio of circles to triangles is:
Answers
Answer:
1:3
Step-by-step explanation:
Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.
Answers
Answer:
2560 J
Step-by-step explanation:
mv^2/2
80(8)^2/2
2560 J
A classmate buys and resells scooters. If they original buy a scooter for $45.85 and mark it up 90%. What is the new selling price?
Answers
Answer:
$87.12
Step-by-step explanation:
To mark up the price you are basically doing 45.85×190%.
If you take a percentage and make it a normal number you need to divide by 100.
190÷100= 1.9
So you multiply 45.85×1.9=87.115
Because this is money you cant have $87 and 11 and a half cents. So you need to round
You need to round up because it is 5, which means that you get $87.12
Hope this helped.
What is the value of K?
k =
8
o
4
k
N
1
M
Answers
Answer:
m
Step-by-step explanation:
it should be
If the given ΔXYZ is rotated by 180 degrees around point X in a clockwise direction, what are the new coordinates of the Y and Z vertices? Select the two correct answers.
Answers
Answer:
Options C and D
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices,
X → (0, 0)
Y → (-1, -2)
Z → (0, -2)
Rule for the rotation of a point (h, k) by 180° about the origin is given by,
(h, k) → (-h, -k)
By this rule,
Coordinates of the image points will be,
X(0, 0) → X'(0, 0)
Y(-1, -2) → Y'(1, 2)
Z(0, -2) → Z'(0, 2)
Therefore, Option (C) and Option (D) are the correct options.
Answer
C/D
Step-by-step explanation:
Which one is correct?
Answers
Answer:
720cm^2
Step-by-step explanation:
i dont think this is right answer
Answer:
720cm^2
Step-by-step explanation:
pls dont report
What is the measurement of R ?
Answers
Answer:
in a rhombus opposite angles are equal therefore it's also 135
What is the roots of x+2=0
Answers
Answer:
Subtract 22 from both sides of the equation.
x=-2
Answer:
x = -2
Just move the 2 to the other side. Remember to switch the sign.
Name one attribute that all squares and rhombus always share.
Answers
Answer:
equal sides!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both of them have sides that are equal. The second attribute is both of the shapes are parallel to each other
below are two parallel lines with a third line intersecting them.
x= ??°
Answers
Answer:
x = 53
Step-by-step explanation:
x = 53 because they are alternate exterior angles
can someone help meee
Answers
Answer:34
Step-by-step explanation:
tell me in the comments If u want the explaination.
PLS HELP ! Will give brainliest!
Answers
Given:
The quadratic equation is :
[tex]16x^2-20x-6=0[/tex]
To find:
The quadratic formula for the given equation after substituting the values.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]16x^2-20x-6=0[/tex]
In this equation, [tex]a=16,b=-20,c=-6[/tex].
Substituting [tex]a=16,b=-20,c=-6[/tex] in the above formula, we get
[tex]x=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(16)(-6)}}{2(16)}[/tex]
Therefore, the required quadratic formula for the given equation after substituting the values is [tex]x=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(16)(-6)}}{2(16)}[/tex].
