Answer:
DP = 15.
Step-by-step explanation:
I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.
D is the midpoint of AB so
2x + 14 = 8x - 52
14+52 = 8x - 2x
6x = 66
x = 11.
So side AD = 2(11) + 14 = 36.
Now PC = PA = 39.
So by pythagoras:
DP^2 = AP^2 - AD^2
= 39^2-36^2 = 225
DP = sqrt 225
= 15.
–6x − 8y = –14
y = –2
Answer:
x = 5
Step-by-step explanation:
If you input the y-value into the equation you get x = 5.
-6x-8(-2) = -14
-6x+16 = -14
-6x+16-16 = -14-16
-6x = -30
(-6x)/-6 = (-30)/-6
x = 5
is 15m 36m 39m right triangle
Answer is below. Look at my explanation to understand my answer.
To see if these lengths can make a triangle, we can use the "triangle side theorem."
The formula is:
a + b > c
a + c > b
b + c > a
So, with that being said...
15 → A
36 → B
39 → C
So, we can use the triangle side theorem by adding A & B, A & C, and B & C.
If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.
So, let's add 15 and 36 to see if it can make a triangle.
15 + 36 = 51
If you read above, C is 39.
So, 51 > 39
15 + 36 > 39 ✓
Let's repeat this process again.
Instead of C, B is what we're now seeing if the sum is greater than it.
15 + 39 = 54
54 is greater than 36...
54 > 36
So it is true.
15 + 39 > 36 ✓
Now, A is what we're seeing if the sum is greater than it.
36 + 39 = 75
75 is greater than 15...
75 > 15
So it is true.
36 + 39 > 15 ✓
So yes, these lengths can make a triangle.
Let me know of any questions or concerns.
given a is equal to 60 degree and 30 degree prove that sin a + b is equal to sin a cos b + cos a sin b
Answer:
A = 60 and B = 30
Now, A + B = 60 + 30 = 90
Also, A – B = 60 – 30 = 30
sin (A + B) = sin 90 = 1
sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30
Find the volume of the composite solid.
Here's the solution,
the volume of the given figure is :
=》
[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]
volume of pyramid :
=》
[tex] \dfrac{l \times b \times h}{3} [/tex]
=》
[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]
=》
[tex] \dfrac{120}{3} [/tex]
=》
[tex]40[/tex]
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
[tex]l \times b \times h[/tex]
=》
[tex]4 \times 5 \times 2[/tex]
=》
[tex]40[/tex]
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
The volume of the composite solid will be 80 cubic cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The volume of the Pyramid will be given as,
V = (1/3) × Base area × height
Then the volume of the geometry will be
V = L x W x H + (1/3) x Base area x height
V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6
V = 40 + 40
V = 80 cubic cm
Thus, the volume of the composite solid will be 80 cubic cm.
More about the geometry link is given below.
https://brainly.com/question/7558603
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The cost of a video game increased from $225 to $450. By what percentage was the price of the video game increased?
Answer:
76% more
Step-by-step explanation:
If you divide 450/255 then you get 1.76470588 This means that it is 76% more than the old cost. ( The one just means adding money instead if subtracting)
Jovan has a credit card with a $1,583 balance his interest rate is 8.8% if he does not pay for 3 years how much interest does
Answer:
$417.91
Step-by-step explanation:
Hey, can you please help me the best that you can. I would really appreciate it, thank you! :)
1 cookie = 45 oz sugar
2 cookies = 2×45 oz = 90 oz
3 cookies = 3×45 oz = 135 oz
...
523 cookies = 523×45 oz = 23,535 oz
the volume of a cube is 710 cm cubed work out the length of its side rounded to one decimal place
Answer:
8.9cm
Step-by-step explanation:
Volume of a cube = L × L × L = L³
710 = L³
L = ³√710
L= 8.9 cm
The length of each side of Cube is 8.9 cm.
What is Volume of Cube?The length is to be multiplied by itself three times to get the volume. The volume is measured in cubic units.
For example, cubic units.
Given:
Volume of a cube is 710 cm.
So, Volume of Cube = l³
710 = l³
l = ∛710
l = ∛ (71 x 10
l = 8.9 cm
Hence, the edge length is 8.9 cm.
Learn more about Volume of Cube here:
https://brainly.com/question/11168779
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List all the elements of the sample space for the following experiment: You roll a die and toss a penny.
Its not B
Answer:
Answer A.
Step-by-step explanation:
There is a 1/2 chance of getting either heads or tails on a coin since there are only two sides. That means that half of the pairs should contain H and half should contain T.
There is a 1/6 chance of rolling every number on a die. So this needs to be represented with the numbers 1-6 on every pair.
So if we combine both of those, 1-6 being on every pair and H being on half and T being on the other half, we get
1, H
2, H
3, H
4, H
5, H
6, H
1, T
2, T
3, T
4, T
5, T
6, T
Which is answer A.
can someone help me please?
PLEASE HELP ME ANSWER THIS!!
Answer:
i think its X=108
Step-by-step explanation:
Answer:
x=118°
Step-by-step explanation:
a straight line is 180°
therefore 180-62=x
During one month, a homeowner used 300 units of electricity and 120 units of gas for a total cost of $114.00. The next month, 290 units of electricity and 150 units of gas were used for a total cost of $115.30. Find the cost per unit of gas.
$_____
HELP PLEASE❤️MUCH APPRECIATION!
Answer:
The answer is A.
If you look at the x values of the coordinates, you can see that they multiply by 2 when dilated to the next shape.
M (5,0) ---> M' (10,0) 5 to 10 means a scale factor of 2. So A is your answer.
I need help asap i will give good rating
make sure to keep answer in exact form
Answer:
70 square units
Step-by-step explanation:
this rhombus contains four right triangles with legs of 5 and 7 units
the area of one triangle is:
1/2(7)(5) = 17.5
17.5 x 4 = 70
Julie can pack 18 hampers in 5 hours, Kyle can pack 14 hampers in 4 hours. Julie and Kyle work together to pack a total of 40 hampers. If they continue to work at the same rate, how long will it take them to pack the 40 hampers? Give your answer in hours and minutes, to the nearest minute.
Answer:
It will take 1 hour and 25 minutes to pack the 40 hampers
Step-by-step explanation:
Julie can pack 18 hampers in 5 hours
Kyle can pack 14 hampers in 4 hours
Julie and Kyle work together to pack a total of 40 hampers
Work done by Julie in one hour = 18/5
Work done by Kyle = 14/4
Work done all together
14/4 * 4 + 18/5 *5 = 40 * 1/x
14+18/40 = 1/k
K = 40/32 = 1.25 hours
I WILL MARK BRAINLIEST! A parabola opening up or down has vertex (0,3) and passes through (4,7). Write its equation in vertex form.
Ok...so we have this........
y = ax2 + 4 ....... and we need to find "a"
So we have
-1 = a(-10)2 + 4
-5 = a (100)
(-1/20) = a ....... So we have ..........
y = (-1/20)(x- 0)2 + 4 or just (-1/20)x2 + 4
Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.
Hope This Helped!
I couldn't copy paste the equation on here, so i attached it in pictures.
I WILL GIVE BRAINLIEST!! I really need help with this question.
Answer:
x = 70°, y = 110° , z = 85°
Step-by-step explanation:
∠ BEA and ∠ CDA are corresponding angles and congruent , then
x = 70°
x and y are adjacent angles and sum to 180°
x + y = 180°
70° + y = 180° ( subtract 70° from both sides )
y = 110°
∠ ABE and ∠ ACD are corresponding angles and congruent , then
z = 85°
what percent of 71 is 177.5?
Answer:
250%
Step-by-step explanation:
177.5 / 71 = 2.5
2.5 x 100 = 250%
Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.
someone help me solve this please and with the steps :)?
Answer:
7.20
Step-by-step explanation:
A city has a higher elevation than Coachella, CA. Select all numbers that could represent the city's elevation. Be prepared to explain your reasoning.
Complete question :
A city has a higher elevation than Coachella, CA.
Coachella's elevation is 22 feet below sea level (-22 ft.)
Select the four numbers that could represent the city’s elevation. Be prepared to explain your reasoning.
Group of answer choices
-11 feet
4 feet
-8 feet
-35 feet
0 feet
-44 feet
Answer:
- 11 feets
4 feets
0 feets
-8 feets
Step-by-step explanation:
Kindly note, that, elevation below sea level should be represented with negative Integers:
Coachella's elevation = - 22 feets
SINCE it is a stated that city A has a higher elevation than Coachella ;
Therefore, Elevation of city A is greater than - 22 feets
Therefore x from the options possible elevation of city A are :
All values in the option greater than - 22; The numbers include :
-8 feets, 0 feets, - 11 fees, 4 feets
devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18mm. to get the wax for the candle, devin melts blocks of wax that are each 8 mm by 6mm by 5mm. how many of the wax cubes will devin need in order to make the candle? show all formulas and calculations
Answer:
(1/3)(9*9*10)=270cm^3 pyramid volume
270/(4*4*4)=4.22cubes
round
5 wax cubes
Hey can you help me fast!
Answer:
29 square feet?
Step-by-step explanation:
yk im like 99.9% sure this is right, but that other 1% is just doubting me. So all I did to solve this was add up teh sides to find the perimeter of the shape, or in this case, the hole in the ground.
my answer is wrong d o. n o t. put my answer down
Thissss isssss the rest
Answer:
In a triangle, sides opposite of congruent angles are congruent.
1) Find the value of x. Round to the nearest tenth.
Answer:
x ≈ 12.9
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x}[/tex] ( multiply both sides by x )
x × tan35° = 9 ( divide both sides by tan35° )
x = [tex]\frac{9}{tan35}[/tex] ≈ 12.9 ( to the nearest tenth )
Matteo is making a wooden cube to hold his sisters jewelry. The volume of the cube is 343 cubic inches. What is the length of one size of the jewelry box?
Please tell me how to do it!
Any links get reported.
Answer:
2
Step-by-step explanation:
you need to see
I literally do not understand this at all. PLEASE HELP ASAP
help please ill give brainliest answer
Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW
Answer:
63.554
Step-by-step explanation:
V=pir^2h
r=3.4/2
h=7
V=pi(1.7)^2(7)
=63.554
Please helpppppp!!!!!!
Answer:
C.
Step-by-step explanation:
Please help help me please ASAP NO LINKS
Answer:
70
Step-by-step explanation:
the formula for area of a trapezoid is (a+b)/2*h, where a and b each equal a base and h represents height. the base measurements of this figure are 9 and 11, and the height is 7 inches. in the formula, that is (9+11)/2*7. first, 9+11 is 20, divided by 2 is 10. 10*7=70, so the area is 70 in^2.