Answers
Answer:
Step-by-step explanation:
a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°
By applying Pythagoras theorem in ΔBCD,
BD² = BC² + CD²
BD² = (10)² + (24)²
BD = √676
BD = 26 cm
B). Surface area of the wedge = Sum of all the surfaces of the wedge
Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(24)[/tex]
= 120 cm²
Area of CDEF = Length × Width
= ED × CD
= 26 × 24
= 624 cm²
Area of BCFA = 10 × 26 = 260 cm²
Area of ABDE = ED × BD
= 26 × 26
= 676 cm²
Total surface area of the wedge = 2(120) + 624 + 260 + 676
= 1800 cm²
C). Volume of the triangular prism = Area of the triangular base × Height
= (Area of BCD) × DE
= 120 × 26
= 3120 cm³
d). By applying sine rule in the right triangle BCD,
sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BC}{BD}[/tex]
m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]
= 22.6°
Related Questions
The length of two sides of a right triangle are leg: 9 m and hypotenuse: 15 m. Find the length of the third side.
Answers
Answer:
Length of Third Side = 12 m
Step-by-step explanation:
You can use the Pythagorean Theorem to solve this: a² + b² = c² or c² - b² = a² in which a and b are legs, and c is the hypotenuse. We use the second equation to solve this: 15² - 9² = a² or 225 - 81 = a². This simplifies to 144 = a². To find a specifically, find the square root of 144, 12.
Hope it helps!
you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3
Answers
Answer:
2/3
Step-by-step explanation:
which is more 10,000 ft or 2 miles
Answers
Answer:
2 mi =10560ft
find the area of the triangle
Answers
Answer:
area = ½bh
= 1/2×11× 15
= 82.5 Square inches
82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5
what is .16 divided by .03220
Answers
0.16÷0.3220=0.49689440993
HELP PLEASE!!!!!!!!!!!!!!!!
Answers
Answer:
only if you help me i can help you if you help me
Step-by-step explanation:
use exponents to write an equivalent expression for 2.9 x 2.9 x 2.9 x 2.9.
Answers
Answer:
2.9 to the 4th power
Step-by-step explanation:
The square has an area of x^2-10x+25 what is the side length
Answers
Answer:
(x-5)
Step-by-step explanation:
Factors to be (x-5)^2 so each side is (x-5)
We have a side that is opposite our angle,
and we have the hypotenuse. Which ratio
will we use?
Answers
Answer:
Sine
Step-by-step explanation:
Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.
SOH represents Sine, Opposite, Hypotenuse.
Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse
So, sine will be used.
Evaluate the following i¹⁹⁸
-1
1
√-1
1i
Answers
Answer:
i^198 is -1
hope I helped :)
Can someone just explain to me how to find “u” Thanks!
Answers
Answer:
u = 4 yards
Step-by-step explanation:
Step 1: Find u using sin
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
[tex]sin(30)=\frac{u}{8}[/tex]
[tex]8*sin(30)=u[/tex]
Step 2: Plug into a calculator
[tex]8*sin(30)=u[/tex]
[tex]8 * \frac{1}{2} = u[/tex]
[tex]4 = u[/tex]
Answer: u = 4 yards
what is the area of the composite figure
Answers
Answer:
132cm
Step-by-step explanation:
elimination method
x-5=-y
3x-10=2y
Answers
Answer:
(4,1)
Step-by-step explanation:
Multiply the first equation by -3
(x-5=-y)*-3 = -3x+15=3y
Then combine like terms with the new equation and the second equation
(-3x+15=3y) + (3x-10=2y) = 5=5y
Divide 5 by both sides
1=y
Plug in 1 for y in an equation. Doesn’t matter which one and solve
x-5=-(1)
Distribute the negative sign to the 1
x-5=-1
Add 5 to both sides
x=4
X-5= -y
-X+5=y
-4+5=y
1=y
3X-10=2(-2+5)
3X-10= -2X+10
3X+2X=10+10
5x=20
X=4
2x-4y=-20 write it in y=ax+b form
Answers
Answer:
[tex] y = \frac{1}{2} x + 5[/tex]
Step-by-step explanation:
[tex]2x - 4y = - 20 \\ \\ - 4y = - 2x - 20 \\ \\ y = \frac{ - 2}{ - 4}x - \frac{20}{ - 4} \\ \\ y = \frac{1}{2} x + 5[/tex]
Is Figure B a scale copy of Figure A?
2.8
2.8
4
Figure A
10
10
16
Figure B
Choose 1 answer:
Answers
Answer:
no
Step-by-step explanation:
PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown
Answers
Answer:
triangle
Step-by-step explanation:
6. Find the height of the brace.
Answers
Answer:
Brace girders
As a horizontal link between foundations or pile heads, the braces are dimensioned with the relationship between free span and the height of the beam, L / h <10, preferably 7, but the height should not be less than 40 cm.
PLEASE HELP ME I NEED HELP RIGHT AWAY!!!
A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?
thank you for helping
Answers
Answer:
There are 40 books total
Step-by-step explanation:
you need to set a proportion
The first fraction is 55/100 it's over 100 because it's percent
the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books
then you multiply diagonally
55×x= 22×100
55x=2,200
Then you solve it like a regular equation by dividing both sides by 55
x=40
Answer:
There are a total of 40 books in the box.
Can you please solve this
Answers
Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
Step-by-step explanation:
I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.
1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.
2. I used the same method. Now I will multiply the two.
3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answers
Answer:
Step-by-step explanation:
width = area ÷ length = 5x+3
Jim and Krutika win some money and share it in the ratio 3:1. Jim gets £40 more than Krutika.
How much did they get altogether?
Answers
Step-by-step explanation:
let the amount that Krutika gets be x, therefore, gets him the amount that jim get will be x +40
therefore 3/1=x+40/x
hence 3x=x+40
therefore x=40/2
x=20
Step-by-step explanation:
let the amount that Krutika gets be x, therefore, gets him the amount that jim get will be x +40
therefore 3/1=x+40/x
hence 3x=x+40
therefore x=40/2
x=20
The table shows the height of a ball, h(t), after t seconds. The data can be modeled using a quadratic regression equation.
Time (s) 1 2 3 4
Height (ft.) 88.7 139.9 158.9 146.1
Approximately when will the ball hit the ground?
0 s
5.2 s
6.3 s
7.5 s
Answers
Answer:
6.3 seconds
Step-by-step explanation:
Make a table
Find the slope of the lines given two points. (-7, 2) and (-7, 1)
Answers
Answer:
undefined
Step-by-step explanation:
m=1-2/-7-(-7)
m=-1/0
x=0 slop
the line will be vertical and the slope is undefined
A rectangle has a perimeter of 238 meters and a length of 67 meters what is the area of the rectangle
Answers
Answer:
3,484 meters squared
Step-by-step explanation:
Since it’s a rectangle, opposite sides are the same length. This means 2 of the sides are 67 meters each, since the length of the rectangle is 67 meters. To find the width, add the 2 sides together that we know the length of (in this case it would be 67+67) and subtract it from the total perimeter (238-[67+67]). Take the result (104) and divide it by 2 (104÷2=52). Now that we know the width is 52 meters, you can find the area by multiplying the length times the width (67*52=3,484 meters)
Remember that the perimeter is the total length around the outside of the shape, and the area is the space inside of the shape
I’m not good at explaining things but I hope this helps!
Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4
Answers
Answer:
Graph f(x)=1/4x-3. f(x)=14x−3 f ( x ) = 1 4 x - 3. Rewrite the function as an equation. y=x4−3 y = x 4 - 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps. ... Any line can be graphed using two points. Select two x ...
Step-by-step explanation:
A family eats a t a reastaurant. The bill was $54 . The family leaves a tip and spends $60 total. How much was the tip as a percentage of the bill? (Round to the nearest whole percent)
Answers
Answer:
3%
Step-by-step explanation:
I need to know how to find the measure of angle a.
Answers
Answer:
90°
Step-by-step explanation:
We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.
Let's first find an expression for each angle.
Angle A: m<A = x + 100
Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.
Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.
Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.
(x + 100) + (x + 60) + 40 = 180
x + 100 + x + 60 + 40 = 180
2x + 200 = 180
2x = -20
x = -10
The measure of angle A is x + 100, and x = -10
m<A = x + 100 = -10 + 100 = 90
Answer: 90°
Dan has 3 ⅔ cups of milk. If he used ¼ of the milk for his breakfast, how much milk does Dan have left?
Answers
Answer:3 whole numbers 2/12
Step-by-step explanation:
2/3 x 1/4
3 2/12
What is the common difference of the arithmetic sequence on which the series is based?
: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.
Answers
Answer:
Step-by-step explanation:
1.5
Hope that helps!
Answer:
1.5
Step-by-step explanation:
......................
what does 9a^2 + 2b^2 if a=4 and b=7?
Answers
Answer:
242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
Given
9a² + 2b² ← substitute a = 4 and b = 7
= 9(4)² + 2(7)²
= 9(16) + 2(49)
= 144 + 98
= 242