Answer:
x= 16
4x+21 = 85 degrees
Step-by-step explanation:
The angles shown are vertical angles and vertical angles are equal
85 = 4x+21
Subtract 21 from each side
85 -21 = 4x+21-21
64 = 4x
Divide by 4
64/4 = 4x/4
16 = x
Answer:
16degrees
Step-by-step explanation:
As these angle are (vertically opposite angles)
So,85=4x+21,
85-21=4x
x=64/4
x=16degrees
A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?
Using Pythagoras theorem
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]
[tex]\\ \Large\sf\longmapsto P^2=225[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]
[tex]\\ \Large\sf\longmapsto P=15ft[/tex]
Answer:
Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)Step-by-step explanation:
we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)
Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?
Answer:
He has 4/35 of with money left
Step-by-step explanation:
1 - 3/5 - 2/7 = 4/35
This basically answers the question
What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number
Answer:
C
Step-by-step explanation:
The product of a negative rational number and a positive integer is a negative rational number
Answer: C (A Negative Rational Number)
Step-by-step explanation
A Negative number mutiplied by a positive number is a negative number.
Please click thanks and mark brainliest if you like
1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?
3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?
Answer:
a. he earn 14578.00 in that month.
Find the marked price if: Selling price =Rs 4999.50 and Discount percentage = 10%.
Answer:
HOPE IT HELP YOU....
if it is right plz comment me .
ji and jl are opposite rays
HELP!
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
the ctarting line there are water stations every
Answer:
When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.
Answer:
It will always be less than both.
Step-by-step explanation:
Multiplying by something smaller than 1 will always make the result smaller, so taking something like
0.8⋅0.5 means that we are taking half of 0.8
OR 45 of 0.5 (same thing)
either way it makes it smaller, which means we will get something smaller than both.
Please help me solve this guys today is my last day & I’ve been trying so hard
y = x^2 - 3x - 4
Factored Form: y = (x - 4)(x + 1)
X-Intercepts: (4,0) and (-1,0)
Axis of Symmetry: x = 1.5
Vertex: (1.5, -6.25)
Domain: All real numbers
Range: y > -6.25
Hope this helps!
Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?
6
338
365
3,300
Answer:
338
Step-by-step explanation:
55miles/h,
it would take 310/55 =62/11 h to reach syracuse
62/11 h = 338.181818mins ≈ 338mins
1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm
Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.
Now using the Pythagorean theorem you can find the height:
Height - sqrt(1.2^2 - 0.75^2)
Height = sqrt(1.44 - 0.5625)
Height = sqrt(0.8775)
Height = 0.93675 meters
The height of the tent is smaller than the height of Suzie so she cannot stand up.
trigonometric identities
With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.
Then from the Pythagorean identity, it follows that
sin²(θ) + cos²(θ) = 1 ==> sin(θ) = -√(1 - cos²(θ))
and so
sin(θ) = -√(1 - (-8/13)²) = -√105/13
Recall the double angle identity for sine:
sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169
HELP PLEASE !! REAL ANSWER ONLY
find the surface area of the cylinder round to the nearest tenth
Answer:
CSA is 12.57
TSA is 18.85 .. i dont know what the question is asking..
I will recommend you to use TSA
Answer:
19ft
Step-by-step explanation:
Formula for surface area of the cylinder=2πr(r+h)
We have,
h=2ft
d=2ft
r=d/2=2/2=1ft
Now,
2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215
Rounding to the nearest tenth,
We get Surface area of the cylinder=19 ft
SHOW YOUR STEPS PLEASE. SOMEONE PLEASE HELP ME I NEED THE ANSWER ASAP!!!
The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function c(x)=1.7x^2-13.6+166.4, where x is the speed in kilometres per hour. At what approximate speed should the boat travel to achieve minimum cost? what is the minimum cost?
Answer:
x = 4
139.2
Step-by-step explanation:
Given the Cost function :
C(x) = 1.7x² - 13.6x + 166.4
To achieve minimum cost ;
dc/dx = 0
dc/dx = 2(1.7)x - 13.6
3.4x - 13.6 = 0
3.4x = 13.6
x = 13.6 / 3.4
x = 4
To achieve minimum cost, speed = 4 ;
Minimum cost will be :
C(x) = 1.7x² - 13.6x + 166.4
Put x = 4
C(4) = 1.7(4)² - 13.6(4) + 166.4
C(4) = 27.2 - 54.4 + 166.4 = 139.2
Minimum cost = 139.2
If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is
We know
[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
ATQ
[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]
[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]
[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]
[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]
[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]
[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]
[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]
[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]
[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]
Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q
unwanted ans will be reported
If it has infinite solutions
[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]
[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]
[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]
[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]
[tex]\\ \sf\longmapsto -p-q=6[/tex]
[tex]\\ \sf\longmapsto p+q=-6[/tex]
[tex]\\ \sf\longmapsto p=-6-q[/tex]
Take p as 1
.q=-6-1=-7The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
18+24.25π units²
18+12.125π units²
36+24.25π units²
36+12.125π units²
Answer:
carna estralia con frema es 36+12.125tt ernits es answeana
Step-by-step explanation:
Answer:
18+12.125π units²
please help me please i will give brainliest
Answer:
I think It would be A
Step-by-step explanation:
Answer:
i think its A
Step-by-step explanation:
(if its not im sorry :( )
if 5 hockey balls and 3 sticks cost $230.00 and 5 balls and 2 sticks cost $200 how much does one hockey ball cost?
step by step explanation:
Answer:
$28.
Step-by-step explanation:
We have the system of equations
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Checking in equation 2:-
5(28) + 2(30)
= 10 + 60
= 200.
- this checks out OK.
The cost of one hockey ball will be $28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The system of equations from the given data are:-
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Therefore, the cost of one hockey ball will be $28.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ5
Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE
How is adding and subtracting radical expressions similar to adding and subtracting variables ?????
Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.
Answer:
combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense
Step-by-step explanation:
so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3
Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answer:
(x , y ) -----> (x , y -4)
Step-by-step explanation:
There is no change in x-coordinate
Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)
7 + a = 3
a = 3 - 7
a = -4
y-coordinate of A' = y-coordinate of A - 4
What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20
Answer:
E
Step-by-step explanation:
(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
15² = x × 20
225 = 20x ( divide both sides by 20 )
[tex]\frac{225}{20}[/tex] = x , that is
x = [tex]\frac{45}{4}[/tex] → E
The value of the x in the given triangle is 45/4.
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.
Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.
we have,
CA / CB = CD / CA
15/20 = x/15
x = 15²/20
x = 225/20
x = 45/4
Hence, the value of the x in the given triangle is 45/4.
Learn more about similar triangles click;
https://brainly.com/question/14926756
#SPJ7
1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).
Answer:
1..
solution....
here given
25cm
1m=100cm
now,
25/100=1/4
1:4
2....
(a+4)(a-4)
a^2-4^2
a^2-16
Step-by-step explanation:
hope it will help you
Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.
Answer:
2x-4(x+7)=2
Step-by-step explanation:
Peter's age:x.... twice age:2x
Phil's age:x+7...4times age:4(x+7)
Difference if ages is 2
Hence; 2x-4(x+7)=2
Answer:
Answer
4.9/5
38
loitzl9006
Ambitious
54 answers
6.5K people helped
Answer:
x=25
Step-by-step explanation:
we know that "x" is Peter's age
assume that "y" is Phil's age
In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x
create equation with these two things
y = 1/5 x
including "7 years more"
many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?
in order to avoid mistakes
read the sentence and point, which: y or 1/5 x is greater and smaller
"Phil's age is 7 years more than ..."
so y is greater, and 1/5 x smaller
y = 1/5 x
greater = smaller
we must add 7 to smaller number to make an equality
greater = smaller + 7
y = 1/5 x + 7
Second sentence:
"4 times Phil's age is 2 years less than twice Peter's age."
Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x
4y = 2x
read the sentence once again
"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater
4y = 2x
smaller = greater
including "2 years less" we add 2 to a smaller number
smaller + 2 = greater
4y + 2 = 2x
Substitute y=1/5 x + 7 to the equation 4y+2 = 2x
Step-by-step explanation:
If a change dispenser contains 32 coins consisting of
only dimes and quarters worth $5.15, how many
dimes are in the dispenser?
=================================================
Work Shown:
d = number of dimes
q = 32-d = number of quarters
$5.15 = 515 cents
10d+25q = 515
10d+25(32-d) = 515
10d+800-25d = 515
-15d+800 = 515
-15d = 515-800
-15d = -285
d = -285/(-15)
d = 19
There are 19 dimes. You can stop here if you want.
q = 32-d = 32-19 = 13
There are 13 quarters
-------------------------------
Check:
1 dime = 10 cents
19 dimes = 19*10 = 190 cents
1 quarter = 25 cents
13 quarters = 13*25 = 325 cents
total value = 190 cents + 325 cents = 515 cents = $5.15
The answer is confirmed.
determine the general term of this sequence -15:-11;-7;,,173
Answer:
UWUNOE BRO HUUZEM HIHUDHS
Step-by-step explanation:
Is it possible to build a triangle with side lengths of 3, 3, and 9?
Answer:
N0
Step-by-step explanation:
The sides of a triangle must be
a-b< c< a+b where a and b are the two smaller sides and c is the larger side
3-3 <9< 3+3
0<9<6
This is not true so it cannot make a triangle
answer:
no
step-by-step explanation:
each side must be smaller than the sum of other sides
so
9+3>3-right
3+3<9-wrong
Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?
Answer:
3
Step-by-step explanation:
I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think
Answer:
45 gift bags.
Step-by-step explanation:
take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion
Select All the correct answers
Select all the statements that are true for the following systems of equations.
System A
2x-3y=4
4x.y = 18
System B
3x - 4y 5
y = 5x + 3
System C
2x-3y - 4
12x-3y 54
1. All three systems have different solutions.
2. Systems A and B have different solutions
3. Systems A and C have the same solution
4. Systems B and C have the same solution
5. System C simplifies to
2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three
Answer:
a
Step-by-step explanation:
kjddhllkfewtuikkbccjg