Answer: If the side which lies on one ray of the angle is longer than the other side, and the other side is greater than the minimum distance needed to create a triangle, the two triangles will not necessarily be congruent. to "swing" to either side of point G, creating two non-congruent triangles using SSA.
Step-by-step explanation:
Here is one of them. I will give the other guy to give you the other one.
Express in simplest radical form square root 96/2
Answer:
√[(2*2)*(4*6)]
= 4 √6
Step-by-step explanation:
√96.
Sometimes it is better to ‘simplify’ by getting a coefficient multiplied by a smaller number within the radical. Other times, you’re really not simplifying, but making it more complicated. This is probably one of those times where leaving it as √96 is better.
If you had something like √196, you would want to change that form since it turns out that 196 is a perfect square.
Regardless, I’m assuming this is a problem for a class and your teacher/text book wants you to do the following……
You could start by factoring it in small steps within the radical sign.
If you find factors that are perfect squares, you can take them out of the radical.
You can find large factors if you want, but you can also start with small factors.
Probably the easiest number to factor out is 2 since 96 is an even number.
96/2 = 48.
square root 96 radical form
48 is also an even number, so you can factor another 2.
Now you have √[(2*2)*24]
If you can factor out larger numbers, it can save you a little time.
So from here let’s factor out a 4.
√[(2*2)*(4*6)]
= 4 √6
Sally is 13 years old.
Tammy is 12 years old.
Danny is 10 years old.
Sally, Tammy and Danny share £28 in the ratio of their ages.
Tammy gives a third of her share to her mother.
How much should Tammy now have?
Answer:
$6.40
Step-by-step explanation:
13 + 12 + 10 = 35
28 / 35 = 0.8
0.8 * 12 = 9.6
9.6 * 2/3 = 6.4
The money Tammy has now if Sally is 13 years old. Tammy is 12 years old. Danny is 10 years old. Sally, Tammy, and Danny share £28 in the ratio of their ages. Tammy gives a third of her share to her mother is $4.57.
What is ratio?It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3.
Given:
The age of Sally = 13 years,
The age of Tammy = 12 years,
The age of Danny = 10 years,
Then according to the question
13x + 12x + 10x = 28
35x = 28
x = 4 / 7
One-third of Tammy's money = 12 × 4 / 7 ×1 / 3 = 2.285
Money left = 48 / 7 - 2.285 = 4.57
Therefore, the money Tammy has now, if Sally is 13 years old. Tammy is 12 years old. Danny is 10 years old. Sally, Tammy, and Danny share £28 in the ratio of their ages. Tammy gives a third of her share to her mother is $4.57.
To know more about Ratios:
https://brainly.com/question/13419413
#SPJ2
|(–3.86 + 6.82)| + |(4.02 – 12.45)|
Answer:
-5.47
Step-by-step explanation:
–3.86 + 6.82=2.96
4.02-12.45= -8.43
-8.43+2.96= -5.47
Use the function below to find F(4).
F(x)=5•(1/3)^x
A.20/3
B.20/81
C.5/81
D.5/12
Answer:
. θ , F(x)=1 − e−x.
Step-by-step explanation:
Answer:
5/81
Step-by-step explanation:
At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a while, Jackie gets tired and decided to rent a bike to get to the south end of the trail. She cycles at an average speed of 15 mph. If Jackie gets to the south end of the trail in two hours, how far did she walk? (Round to two decimal places)
Answer:
3.08 milesStep-by-step explanation:
Total distance = 10 milesTotal time = 2 hoursDistance walked = xSpeed walked = 2 mphDistance cycled = 10 - xSpeed cycled = 15 mphUsing the given data we can have the equation below to the time:
x/2 + (10 - x)/15 = 230x/2 + 30(10 - x)/15 = 30(2)15x + 20 - 2x = 6013x = 60 - 2013x = 40x = 40/13x = 3.08 miles rounded to 2 decimal placesCan I get help on function
Solve 8x − 2(x + 1) = 7x + 8. (5 points) Question 3 options: 1) 6 2) −6 3) 10 4) −10
Answer:
3.) 10
Step-by-step explanation:
8x-2(x+1) = 7x+8
8x-2x-1=7x+8
6x-1=7x+8
-1=1x+8
+1 +1
1x+9
/x
x=1+9
x=10
Oscar buys a dozen donuts for a party. Three fourths of the donuts are chocolate. How many donuts are chocolate?
Answer:
9
Step-by-step explanation
There is 12 in a dozen, so 3/4 out of 12 is 9. You can get this by doing 3/4 times 12, or .75 times 12.
Hope this helps!
Answer:
9
Step-by-step explanation:
3/4 divided by 12 is 9
plz brainllest
Solve for x. I NEED HELP ASAP!
Answer:
x = 105
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7, thus
sum = 180° × 5 = 900°
Sum the interior angles and equate to 900
x + 102 + 165 + 123 + x + 11 + 128 + 161 = 900, that is
2x + 690 = 900 ( subtract 690 from both sides )
2x = 210 ( divide both sides by 2 )
x = 105
Solve for X . They are alternate angles
Answer:
x=28
Step-by-step explanation:hard to explain maybe look at another response, they would probably do better
Can y'all help me plz like i really need help im not lying pllzzz y'all and 30 points
Answer:
10,164
Step-by-step explanation:
What is the x-intercept of the equation. Write you answer as an ordered pair. 3x−4y=15
Answer:
X- intercept is (5,0)
Step-by-step explanation:
The sum of three consecutive even numbers is 552. What is the 1st number?
Answer:
Let 2n = the first of three consecutive even numbers, where n is an integer.
Let 2n + 2 = the second of three consecutive even numbers, and
Let 2n + 4 = the third of three consecutive even numbers.
We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:
2n + (2n + 2) + (2n + 4) = 552
Removing the parentheses, we have:
2n + 2n + 2 + 2n + 4 = 552
Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:
2n + 2n + 2n + 2 + 4 = 552
Now, collecting like-terms on the left, we get:
6n + 6 = 552
To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:
6n + 6 - 6 = 552 - 6
6n + 0 = 546
6n = 546
Now, divide both sides by 6 to finally solve for n:
(6n)/6 = 546/6
(6/6)n = 546/6
(1)n = 91
n = 91
Therefore, the first of three consecutive even numbers, 2n, is:
2n = 2(91)
= 182
The second of three consecutive even numbers is:
2n + 2 = 2(91) + 2
= 182 + 2
= 184
The third of three consecutive even numbers is:
2n + 4 = 2(91) + 4
= 182 + 4
= 186
CHECK:
2n + (2n + 2) + (2n + 4) = 552
182 + 184 + 186 = 552
552 = 552
Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.
Mr. Fredrick burns about 2100 calories per day without exercising. For each mile that he walks, he burns an additional 150 calories. Write a linear function modeling the number of calories Mr. Fredrick burns in a given day. How many miles should Mr. Fredrick walk each day to maintain his current weight if he eats 2700 calories per day?
Answer:
4 miles
Step-by-step explanation:
2100+150x=2700
2100-2100+150x=2700-2100
150x=600
Divide by 10.
15x=60
x=4
Hope this helps plz hit the crown :D
Answer:
Y=150x+2100
Step-by-step explanation:
He will have to walk 4 miles to maintain his weight
What is the slope intercept equation?
Answer:
y=2/3x+4
Step-by-step explanation:
M is rise over run, so in this graph is 2 rise over 3 run and positive. The y intercept is 4 because x=0 there and that is the y axis.
Please help due soon!!!
Answer: 1,-1,-7
Step-by-step explanation:
-3-2(-2)= -3+4= 1
-3-2(-1)= -3+2= -1
-3-2(2)= -3-4= -7
Helppppppp and fast
Answer:
it's 2 11 1/4
Step-by-step explanation:
Answer:
its 11 1/4
Step-by-step explanation:
cause I'm big brain
5 (3 - 2y) + 4y = 3
solve please!
Answer: y=2
Step-by-step explanation:
What is the answer to this question ???
Answer:
4/5
Step-by-step explanation:
(Plz answer I am time)
For which pairs of function is (g*f)(a)=|a|-2
Answer:
Option 3
Step-by-step explanation:
Option 1
f(a) = a² - 4
g(a) = √a
(gof)(a) = [tex]\sqrt{a^{2}-4}[/tex]
Option 2
f(a) = [tex]\frac{1}{2}a-1[/tex]
g(a) = 2a - 2
(gof)(a) = [tex]2[\frac{1}{2}a-1]-2[/tex]
= (a - 2) - 2
= a - 4
Option 3
f(a) = 5 + a²
g(a) = [tex]\sqrt{(a-5)}-2[/tex]
(gof)(a) = [tex]\sqrt{(a^2+5-5)}-2[/tex]
= |a| -2
Option 4
f(a) = 3 - 3a
g(a) = 4a - 5
(gof)(a) = 4(3 - 3a) - 5
= 12 - 12a - 5
= 7 - 12a
Therefore, Option 3 is the answer.
On skates, Ian can travel `\frac{3}{4}`of a mile in 5 minutes. On his bike, he can travel `3\ \frac{1}{2}`miles in 12 minutes. How fast, in miles per hour, can Ian travel on skates AND on his bike?
Answer:
a) 9 miles/hour
b) 17.5 miles/hour
Step-by-step explanation:
The formula for speed = Distance (Miles) / Time(hours)
a) he can travel 3/4 of a mile in 5 minutes.
= 3/4 miles = 5 minutes
We convert 5 minutes to hour
= 60 minutes = 1 hour
5 minutes = x
Cross Multiply
60x = 5
x = 5/60
x = 1/12 hour
Hence, his skate speed =
3/4miles /1/12 hour
= 3/4 ÷ 1/12
= 3/4 × 12/1
= 9 miles/hour
b) On his bike, he can travel 3 1/2 miles in 12 minutes.
= 3 1/2 = 12 minutes
= 7/2 miles = 12 minutes
We convert 12 minutes to hour
= 60 minutes = 1 hour
12 minutes = x
Cross Multiply
60x = 12
x = 12/60
x = 1/5 hour
Hence, his skate speed =
7/2 miles /1/5 hour
= 7/2 ÷ 1/5
= 7/2 × 5
= 35/2 miles/hour
= 17.5 miles/hour
Which graph does NOT represent a function?
Answer:
option 3
Step-by-step explanation:
Using the vertical line test, a function will only he passed through once, option 3 is passed through twice
Multiply: (x2 + 3x + 5)(5x2 + 3x – 1)
Answer:
3(x+3)(3x+x 2 +5)
Step-by-step explanation:
hope it helps
Answer:
5x^4+18x^3+33x^2+12x−5
given the functions f(x)=2x-4 and g(x)= x+2 find the value of x
Show your work
x = 0 and x = 4
To find intersection equate them.
x² - 2x - 4 = 2x - 4
subtract 2x - 4 from both sides
x² - 4x = 0 → (take out common factor x)
x(x - 4 ) = 0 ⇒ x = 0 , x = 4
Can anyone help me please it would be helpful
Answer:
2.2 more kg
Step-by-step explanation:
0.8+3.95=4.75
6.95-4.75=2.2
hope I helped!!
Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
Answer:
12x² - 6; 21 inches ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The side lengths of a triangle are 4x² - 3 in., 4x² - 2 in., 4x² - 1 in.
∴ S1 = 4x² - 3 inches
∴ S2 = 4x² - 2 inches
∴ S3 = 4x² - 1 inches
→ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ P = S1 + S2 + S3
∴ P = 4x² - 3 + 4x² - 2 + 4x² - 1
→ Add the like terms
∵ P = (4x² + 4x² + 4x²) + (-3 + -2 + -1)
∴ P = 12x² + -6
→ Remember (+)(-) = (-)
∴ P = 12x² - 6
∴ The expression of the perimeter of the Δ is 12x² - 6
∵ x = 1.5
→ Substitute x in the perimeter expression by 1.5
∵ P = 12(1.5)² - 6
∴ P = 12(2.25) - 6
∴ P = 27 - 6
∴ P = 21 inches
∴ The perimeter of the triangle is 21 inches
The expression can be used to find the perimeter of the triangle is 12x² - 6 and its perimeter is 21 inches when x = 1.5
Answer:
its A. 12x2 −6; 21 inches
Step-by-step explanation:
The sum of the measures of two angles is 178.2°. One angle has a measure of 40°. What is m , the measure in degrees of the second angle?
please answer as soon as possible! I will give brainliest to correct answer!
Answer:
138.2degrees
Step-by-step explanation:
178.2 - 40 = 138.2
can somebody plz go answer mine the one that is not answerd
Answer:
what is it about
Step-by-step explanation:
The local community center has an indoor basketball gym with two different payment options.
Option A is to buy a $21 membership card and pay $1 each time you go. Option B is to pay $4
each time you go without a membership.
When will the cost of Option A be equal to the cost of Option B?
Answer:
Step-by-step explanation: 6 visits
Answer:
Answer:
option a will be the same cost as b when its at 24 because you have to pay 21 then 1 dollar each time you go so you go 3 times and you can go 6 times till 24 on the other plan so 6 time for b and 3 for a and that's when they will be the same
udligie 1s 12 , 1111
The area of an isosceles triangle is 240 cm. If the base of the triangle is 20 cm
the length of its equal sides,
Answer:
20३८३८३८३३८३८३८३८९२२
Step-by-step explanation:
82282922929293
Answer:
the length of its equal sides = 26 cm
Step-by-step explanation:
A = b*h/2
h = 2*A/b
h = *240/20
h = 26 cm
hypotenuse = [tex]\sqrt{10^2 + 24^2} = 26 cm[/tex]