Answer:
b=15 g=25
Step-by-step explanation:
lets translate that story problem to mathematics equations
the problem told that no. of girls are 10 more than no of boys so this will =
g=b+10
then in class there are 40 students that means
g+b=40
now we have to equations with two variables then we should substitute
(b+10)+b=40
lets remove the brackets
2b+10=40 subtract 10 from both sides
2b=30 now divide both by 2
b=15 so g=25 after you write the equation once again with the new proof or number
Which of the following is the MOST reasonable equation for the line of best fit?
Answer:
either c or b that's what I think
There are 35 birds in a tree. Then 17 flew away. How many birds are tin the tree now. Regroup a ten.
What is the surface area of the triangular prism (Look at image)
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
For a prism we take into account the following:
[tex]\boxed{\bold{Lateral\ area = (Perimeter \ of \ the \ base) (height)}}[/tex][tex]\boxed{\bold{Total\ area = Lateral\ area + 2 (base\ area)}}[/tex]Taking into account the above, we first find the lateral area:
In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:
3² + base² = 5²9 + base² = 25
base² = 25 - 9
base² = 16
base = 4
From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:
Equal sides = 5 Uneven side = 8The perimeter of the triangular base will be the sum of the sides, that is:
Perimeter = 5 + 5 + 8
⇒ Perimeter = 18
Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:
Side area = (18) (20)
⇒ Lateral Area = 360 m²
Now we find the area of the triangular base with base = 8 and height = 3:
[tex]\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}[/tex]
Since we have that the lateral area is 360m² and the area of the triangular base is 12m², we replace in the equation of the total area:
Total area = 360 + 2 (12)
Total area = 360 + 24
Total area = 384 m²
The total area of the prism will measure 384m²
I hope I have helped you, greetings from Venezuela!
please help
a) Complete the table for the graph of y = 0.98 for values of x from 0 to 5
(2)
0
1
3
X
2
4
5
y
(1
b) Which of the following could be the graph of y = 0.94 ?
B.
A
C
Total marks
C C
Answer:
Either B or C but i'll have to say B if I had to choose.
Step-by-step explanation:
[tex] {0.9}^{0} = 1[/tex]
[tex] {0.9}^{1} = 0.9[/tex]
[tex]0.9 ^{2} = 0.81[/tex]
[tex] {0.9}^{3} = 0.729[/tex]
[tex] {0.9}^{4} = 0.6561[/tex]
[tex] {0.9}^{5 } = 0.59049[/tex]
As we can tell it decreases slowly.
what does the 50th term of this arithmetic sequence: 29,32,35,38
Answer:
176
Step-by-step explanation:
First term (a) = 29
Common difference (d) = 32 - 29 = 3
For calculating the 50th term , n = 50
Now
[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]
hope it will help :)
A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?
A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds
Answer: D. took quiz :)
Step-by-step explanation:
Answer: d. the probability of a time from 75 seconds to 250 seconds
Step-by-step explanation:
Find the value of x.
Then find the value of y.
Answer:
x = 2°y = 150°Step-by-step explanation:
First, let's find x:-
(15x-2)° = (9x+10)°
15x-2 = 9x+10
6x = 12
x = 2°
Now, let's find y:-
28 + y° = 180°
y = 180-28
y = 150°
______________________
Hope this helps you!
Have a great day!
Alternate exterior angles are congruent
Which angle forms a pair of alterhate
exterior angles with angle 3?
f
<3 = 41?)
Answer:
Angle 6
Step-by-step explanation:
The opposite exterior angle to angle 3 is angle 6.
For another example, the opposite exterior to angle 1 is angle 8.
If you were to cut them out and put them over each other, they're congruent. Hope that helped you out :)
Answer:
<3=<6 forms a pair of alternate
exterior angles with angle 3.
Factorise the following.
Answer:
viii. 2x(1 - 2x)(1 + 2x)(1 + 4x²)
ix. 4xy
Step-by-step explanation:
viii. 2x - 32x⁵
= 2x(1 - 16x⁴)
= 2x(1² - (4x²)²)
= 2x(1 + 4x²)(1 - 4x²) ( a² - b² = (a + b)(a - b))
= 2x(1 + 4x²)(1² - (2x)²)
= 2x(1 + 4x²)(1 - 2x)(1 + 2x)
ix. (x+y)² - (x - y)²
= (x+ y + x - y)( x + y - x + y)
= 2x x 2y
= 4xy
The UAE Special Forces usually accepts about 12% of applicants. This year 2.330 soldiers
applied. About how many will be accepted? *ROUND to nearest whole number
Answer me please!
Answer:
280 soldiers
Step-by-step explanation:
Given data
Acceptance rate= 12%
Number of applicants= 2,330 soldiers
Let us find 12% of 2330
= 12/100*2330
= 0.12*2330
=279.6
Therefore, approximately 280 soldiers will be accepted
3). What is the area of a rectangular window measuring 36 inches across 25 points
and 60 inches tall? *
To find the area of a rectangle, just multiply the dimensions.
36
x60
00
360
1800
2160
The area of the rectangle is 2,160 in sq
---
hope it helps
-20 = -5 - 3x I need help on this
Answer:
x=5
Step-by-step explanation:
add 5 to both sides
-20+5 = -3x
-15=-3x (divide)
x=5
Which three lengths CANNOT be the lengths of the sides of a triangle? *
5 points
23m, 17m, 14m
O 11m, 11m, 12m
05m. 7m, 8m
Answer:
0.5m 7m 8m cannot be the lengths of the sides of a triangle.
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?
Answer:
y=-x/2
Step-by-step explanation:
m=(4-1)/(-8-(-2))
m=3/-6
m=-1/2
b=y-mx
b=1-(-1/2*(-2))
b=1-1
b=0
y=-x/2
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes my homework is due today
Answer: 38
Step-by-step explanation: to evaluate an expression for these variables, plug in those numbers for the variables.
Plugging in -1 for y and -19 for z gets you this:
-2(-1)^2(-19)
Now simplify according to order of operations (PEMDAS - parenthesis exponents multiplication/division addition/subtraction)
-1^2 = 1
-2(1) = -2
-2(-19) = 38
Your answer is 38
PLEASE HELP ME!?!
(2 questions)
Find an equation of the line whose slope in 5/2 and whose x intercept is -3
Answer:
5/2 x -3
Step-by-step explanation:
Brian purchased a trophy in the shape of a square pyramid for the most valuable player on his lacrosse team. The trophy had a slant height of 4 inches and each side of its base measured 4 inches. Brian wanted to engrave on the four sides of the trophy but not on the base of the trophy. How many square inches of the trophy were available for engraving?
Answer:
up , up , up , upitdy.
ngl im not sure bro but somehow i got 16 4x4=16
Step-by-step explanation:
At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberry muffins, how many dozen apple muffins will he prepare? Can you please explain how to do this.
What is the rule for the translation graphed below?
Answer:
(x,y) ==> (x+2, y-1)
Step-by-step explanation:
I need an idea for how to film something maybe around 30 seconds using this criteria. I can use anything in my house and have one actor.
EXERCISE
Use framing to shoot a scene that creates a feeling of a character being trapped (claustrophobia), then emerging from that sense of entrapment.
● Use six shots
● Do not use camera movement
● Do not rely on acting
Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them
Step-by-step explanation:
VOLUME!! *last question*
Answer:
D.756
Step-by-step explanation:
thanks me later
pa follow po thankyou
if ABC is a straight line and angle CBD=119
Hello this is not question .
Factor -9y - 3 with a negative GCF
Answer:
-3(3y-1)
Step-by-step explanation:
−9y−3
Factor out 3.
3(−3y−1)
Rearrange Terms.
-3(3y-1)
The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5
Answer:
x = 2/3
Step-by-step explanation:
Let's unpack the equation [tex]x*2=5[/tex] from our definition of [tex]*[/tex]:
[tex]x*2=3x+2(2)-1=5[/tex] (where [tex]x\in \mathbb{Z}[/tex])
Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:
[tex]3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3[/tex]
I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE
Answer:
50
Step-by-step explanation:
a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees
Jake spins a spinner divided into five even sections numbered one through five. He then flips a coin. What is the probability of him spinning a one and flipping a heads?
Answer:
12.5% chance
Step-by-step explanation:
First a spinner has a 25% chance of landing on a one, then a tails is a 50% chance, subtract devide 25 by two and you get 12.5.
A bowl of mixed vegetables contains carrots, broccoli, and cauliflower. If the bowl contains 80 vegetable pieces, and 25% of the pieces are carrots, how many carrots are in the bowl?
Answer:
Number of carrot pieces in bowl = 20
Step-by-step explanation:
Given:
Total number of vegetable pieces = 80
Percent of carrot = 25%
Find:
Number of carrot pieces in bowl
Computation:
Number of carrot pieces in bowl = Total number of vegetable pieces x Percent of carrot
Number of carrot pieces in bowl = 80 x 25%
Number of carrot pieces in bowl = 80 x 0.25
Number of carrot pieces in bowl = 20
Answer:
20
Step-by-step explanation:
I took it on Edge
Give each trig ratio as a fraction in its simplest form.
Sin Q = Cos Q = Tan Q = Sin R = Cos R= Tan R=
Answer:
sin q = 14/50
cos q = 24/25
tan q = 7/24
sin r = 24/25
cos r = 7/25
tan r = 24/7
Step-by-step explanation:
The required trigonometric ratio are as follows;
[tex]SinR= \frac{24}{25}, CosR = \frac{7}{25}, TanR = \frac{24}{7} \\\\SinQ = \frac{7}{25}, CosQ = \frac{24}{25}, TanQ = \frac{7}{24}[/tex]
WE have to determine the trigonometric function in simplest form.
In order to find trigonometric ratio, In right angle triangle QRP.
Length of PR = 14
Length of QR = 50
To find length of PQ using Pythagoras theorem.
[tex](H)^{2} = (P)^{2} + (B)^{2}\\\\(50)^{2} = (14)^{2} + (B)^{2} \\\\B^{2} = 2500 - 196\\\\B^{2} = 2304\\\\B = 48[/tex]
Length of PQ is 48.
Therefore,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)
Then,
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{14}{50}\\\\SinQ = \frac{7}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{48}{50} \\\\CosQ = \frac{24}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{14}{48} \\\\TanQ = \frac{7}{24}[/tex]
And In right angle triangle RPQ,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{48}{50}\\\\SinQ = \frac{24}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{14}{50} \\\\CosQ = \frac{7}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{48}{14} \\\\TanQ = \frac{24}{7}[/tex]
To know more about Trigonometric function click the link given below.
https://brainly.com/question/20367642
