Answer:
33
Step-by-step explanation:
HJ = HI + IJ
HJ = 3x - 9, HI = x and IJ = x + 5
So 3x - 9 = x + x + 5
Solve for x
Combine like terms
3x - 9 = 2x + 5
Add 9 to both sides
3x = 2x + 14
Subtract 2x from both sides
x = 14
Find HJ
HJ = 3x - 9
We have found that x = 14
HJ = 3(14) - 9
Multiply 3 and 14
HJ = 42 - 9
Subtract
HJ = 33
ASAP !
Determine the value of x.
Question 1 options:
A: x = 2
B: x = 2.5
C: x = 1
D: x = 2.9
Answer:
x=2
Step-by-step explanation:
We can use the Pythagorean theorem since this makes a right triangle
a^2+b^2 = c^2
The radius is 1.5
1.5^2 + x^2 = (1+1.5)^2
1.5^2 +x^2 = 2.5^2
2.25+x^2=6.25
Subtract 2.25 from each side
x^2 = 4
Taking the square root of each side
x= 2
Answer:A
Step-by-step explanation:Took quiz
How many triangles???????
Based on the diagram, there are 8 triangles in total
TrianglesA triangle is a polygon with three sides and three angles.
Types of trianglesEquilateral triangle: The three sides and angles are equal.Isosceles triangle: It has two equal sides and two angles.Scalene triangle: No side and angle is equal.Therefore, there are 8 triangles in the diagram.
Learn more about triangles:
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ILL GIVE POINTS!!
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3
Answer:
no A
Step-by-step explanation:
sqrt13 is the ans
hope it helps
3. Find the value of p in each of the following when f(x) is divided by d(x), with the help of remainder theorem:
(a) f(x) = px3 + 4x - 10 d(x) = x + 3 R = 5
(b) f(x) = x + 3x2 - px + 4 d(x) = x - 2 R = 8
(c) f(x) = 2x3 - 4x2 + 6x-p d(x) = x-2 R = 18
(d) f(x) = 4x3 - 3x2 + 3x - P d(x) = x-2 R = 12
(e) f(x) = 2x8 - 3x2 + px - 8 R = f(3) = 10
(f) f(x) = x3 + 5x2 - px + 6 R = 2p d(x) = x-1
(g) f(x) = x4 + x3 + =px² + x + 20 f(2) = 20
it's a optional mathematics Questions please solve him
The remainder theorem says that dividing a polynomial f(x) by a 1st-degree polynomial g(x) = x - c leaves a remainder of exactly f(c).
(a) With f(x) = px ³ + 4x - 10 and d(x) = x + 3, we have a remainder of 5, so
f (-3) = p (-3)³ + 4(-3) - 10 = 5
Solve for p :
-27p - 12 - 10 = 5
-27p = 27
p = -1
(b) With f(x) = x + 3x ² - px + 4 and d(x) = x - 2, we have remainder 8, so
f (2) = 2 + 3(2)² - 2p + 4 = 8
-2p = -10
p = 5
(you should make sure that f(x) was written correctly, it's a bit odd that there are two x terms)
(c) f(x) = 2x ³ - 4x ² + 6x - p, d(x) = x - 2, R = f (2) = 18
f (2) = 2(2)³ - 4(2)² + 6(2) - p = 18
12 - p = 18
p = -6
The others are done in the same fashion. You would find
(d) p = 14
(e) p = -4359
(f) p = 10
(g) p = -13/2 … … assuming you meant f(x) = x ⁴ + x ³ + px ² + x + 20
simplify (2^2×4^-2)×5^8+2+3^0
Which of the following have a total of 8 possible outcomes? Check all that apply.
Answer:
Probably the first three answers
Step-by-step explanation:
The rest are
4) 3×5=15 (which is not 8)
5) 6×2=12 (≠8)
So it's just the first three
97. An elevator in a tall building goes up 7 floors, then
down 9 floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?
so, start floor = x
x + 7 - 9 - 4 + 8 - 2 = 14
x = 14
the elevator started on the 14th floor.
to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?
3x – 10y = 50
3x = 50 – 10y
50 + 10y = 3y
50 + 3y = 10y
Answer:
3x=50-10y
Got it right on edge
The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb.
Let x represents the number of 3 lb weights and y represents the number of 10 lb weights.
Hence, The correct equation to find the number of each type of weight Bob has,
⇒ 3x + 10y = 50
⇒ 3x = 50 - 10y
Thus, The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
Learn more about the mathematical expression visit:
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(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
Solve for x.
X + 10
2x - 50
x = [?]
Answer:
x +10 = 2x-50
x-2x = -50-10
-x. = -60
-x/-1 = -60/-1
x = 60°
The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism?
Answer:
The volume is 245 m^2
Step-by-step explanation:
the volume formula is aways base time height, or V = bh
so plot the number in, 35 x 7 = 245
You go to the doctor and he injects you with 13 milligrams of radioactive dye. After 12 minutes, 4.75 milligrams of dye remain in you system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound will sound the alarm whenever more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived and the amount of dye decayse exponentially?
Answer:
Step-by-step explanation:
You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.
If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.
Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in
[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:
[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have
13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:
[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get
.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that
b = .9195228407 Yikes.
Now for the model, using the fact that a = 13 and b = .9195228407:
[tex]A=13(.9195228407)^t[/tex]
We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:
[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get
[tex].1538461538=.9195228407^t[/tex] Take the natural log of both sides, which allows us to bring the t out front:
ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get
t = 22.3 minutes
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.
Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
please answer this question!!
Answer:
x = 1
Step-by-step explanation:
6x - 9 = 2x - 5
Move variables to one side
6x - 9 = 2x - 5
-2x -2x
4x - 9 = - 5
Isolate variable
4x - 9 = - 5
+ 9 +9
4x = 4
4x/4 = 4/4
x = 1
PLEASER HELP WILL GIVE BRAINLIEST!
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
Answer ASAP please!
Answer:
e. is incorrect
sin (x)= f/e
Triangles and angles
Pls help
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten
hours? How many kilometers will he travel in ten hours? (1 mi= 1.6 km)
Answer:
1287.48 km
Step-by-step explanation:
80 miles = 128.748 km
Distance = Speed x TimePutting in 'x' for distance
x = 80*10
x = 800 miles
or
x = 1287.48 km
What is 7.3482 rounded to 2, 3 and 4 significant figures?
2 figures - 7.3
3 figures - 7.35
4 figures - 7.348
how do i round
$191.2392
Step-by-step explanation:
its round is 200.0000 .
hope it will help you Mark with brilliant
Answer:
$191
Step-by-step explanation:
Can someone please help me with these 4 questions?
150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food last?
Step-by-step explanation:
150=45
150 -25=x
:150=45
125=x
cross multiply
150x/150=5625/150
x=38 days
A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly.
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
Geometry, please answer question ASAP
Answer:
length = 11 ft
breathe = 5 ft
perimeter of rectangle = lxb
= 11ft x 5ft
= 55 ft
the answer is 55 ft
Answer:
Perimeter of rectangle = 2(l+b)
=2(11+5)
=2x16=32ft
My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
Answer:
It is 36
Step-by-step explanation:
minus × minus equals + so its 36
Answer:
36
Step-by-step explanation:
(-4) is -4
then
(-9) then 36
1 by 6 of a construction work is finished in the first year, 1 by 8 part in the second year and 1 by 12 in the third year how much work is finished in 3 year
Answer:
3/8
Step-by-step explanation:
first year's work is 1/6
second year's work is 1/8
third year's work is 1/12
combining all 3 gives us
1/6 + 1/8 + 1/12
which simplifies to 3/8
There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
BES
O
1 - 12
VX
1
12
4
O
112
○ - 12
Mark this and retum
Save and Exit
Next
Submit
Answer:
3 12
------ = ---------
1 4
Step-by-step explanation:
We need to keep the relationship in the same order
3 ft 12 ft
------ = ---------
1 yd 4 yds
3 12
------ = ---------
1 4
Answer:
the answer is B
Step-by-step explanation:
Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here
Answer:
3:15 hours
Step-by-step explanation:
i don't know I just took the test
Answer:
4.75 or 4 3/4
Step-by-step explanation:
rate = distance/time
Multiply both sides by time:
time * rate = distance
Divide both sides by rate:
time = distance/rate
We are given:
distance = 76 km
rate = 16 km/h
time = ?
time = distance/rate
time = 76 km/(16 km/h)
time = 4.75 h = 4 3/4 h
help me with my homework
Answer:
a.[tex]\frac{x+10}{5} = 9.5[/tex]
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: [tex]\frac{x+10}{5}[/tex]. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:
[tex]9.5 = \frac{x+10}{5}[/tex]
Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50