Answer:
$ is less than or equal to $16
Step-by-step explanation:
Form and solve an equation for .
2x
x+30
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the triangle and equate to 180
2x + x + 30 + 90 = 180
3x + 120 = 180 ( subtract 120 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
prove the identity tan^2x+6=sec^2x+5
Which system of equations has the same solutions as the system below? `3x-y=7` `2x+3y=12`
Answer:
the system : 9x-3y =21
2x+3y = 12
Step-by-step explanation:
hello :
an system of equations has the same solutions as the system below
the system 3x-y=7
2x+3y=12
for exempl : 3×(3x-y)=3×7
2x+3y)=12
means :
9x-3y =21
2x+3y = 12
6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as the system of equations 3x - y = 7, 2x + 3y = 12
What are system of equations?A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Given system of equations
3x - y = 7........................(1)
2x + 3y = 12...................(2)
Multiply equation 1 with 2
2(3x - y) = 2 × 7
6x - 2y = 14
Subtract 6 from equation 2
2x + 3y - 6 = 12 - 6
2x + 3y - 6 = 6
So, 6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as 3x - y = 7,
2x + 3y = 12
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A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD =4, BD =6, what is the length of DC
Answer:
[tex]AC=5[/tex]
Step-by-step explanation:
From the question we are told that:
Dimensions
[tex]AD=4\\BD=6[/tex]
Generally the equation for these similar right triangle is mathematically given by
[tex]\frac{AC}{AB}=\frac{AB}{AD}=\frac{BC}{BD}[/tex]
[tex]\frac{AC}{AB}=\frac{AB}{AD}[/tex]
Where
[tex]AD=x[/tex]
[tex]AC=x+4[/tex]
Therefore
[tex]AB^2=x(x+4)[/tex]
Generally the Pythagoras equation for [tex]\triangle[/tex]ADB is mathematically given by
[tex]AB^2=BD^2+AD^2[/tex]
[tex]x(x+4)=4+x^2[/tex]
[tex]x(x+4)-(4+x^2)=0[/tex]
[tex]x^2+4x)-(4+x^2)=0[/tex]
[tex]4x-4=0[/tex]
[tex]x=1[/tex]
Therefore
[tex]AC=x+4[/tex]
[tex]AC=1+4[/tex]
[tex]AC=5[/tex]
A cake having a mass of 150g was divided into 2 pieces in the ratio of 3:7. What is the mass of the heavier piece?
Answer:
105g because 3+7=10 and 150÷10= 15 then 15x3=45 and 15x7=105
Unit 8 right triangles and trigonometry homework 4
Answer:
don’t click the link
Step-by-step explanation:
hey man i’m struggling to but plz don’t click the links. it hacks your devices
find the value of x and y
If your question is as made by me then the solution is given with it . Hope you find it useful.
The realtion of y is alternative angle.
What is (-3, -2) reflected over the y-axis
Answer:
3,-2
Step-by-step explanation:
Answer:
(3, -2)
Step-by-step explanation:
[Cartesian plane]
______________
+y
↑
-x ← — | — → +x
(-3,-2) |
↓
-y
______________
[Flipping over the y axis]
-The reflection will be the-
same distance from the y axis
+y
↑
-x ← — | — → +x
(-3,-2) → | → (3, -2)
↓
-y
Madjeen jogs around the pond by her house twice a day. In the morning, she jogs $3.5$ laps around the pond. In the evening, she jogs $1$ lap around the pond. Madjeen jogs a total of $5.4$ miles. Write and solve an equation to find out how many miles are in each lap around the pond.
Answer:
1.2 miles
Step-by-step explanation:
Morning laps = 3.5 laps
Evening laps = 1 lap
Total miles jogged = 5.4 miles
Total laps made = (3. 5 + 1) = 4.5 miles
Number of miles per laps covered :
Total miles jogged / number f lapses hugged around pond.
= 5.4 miles / 4.5
= 1.2 miles
Therefore, number of miles per round around the pond is 1.2 miles
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
Answer this plz I’m stuck on it
Answer:
The value of the car decreased by 16 percent.
Step-by-step explanation:
First I divided 15,540 by 18,500, and I got .84. Then, I subtracted .84 from 1, and got .16. Then I turned .16 into a percent, and got 16%.
Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
Answer:
Step-by-step explanation:
Please answer the problem above
Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
complete the tables of values
Answer:
a=0
b=-8
c=-16
d=0
e=-3
f=-6
Step-by-step explanation:
Help! With this math problem
Answer:
Its C
Step-by-step explanation:
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Answer:
III
Step-by-step explanation:
the answer would be the third one because if you divided the three numbers by 3 then they will be 3,5,4 which is a type of right angled triangle...you can also check it with pythagoras theorm.
Answer:
I and III
Step-by-step explanation:
How to tell if a triangle is a right triangle with given sides : If a and b are measures of the shorter sides of a triangle, c is the measure of the longest side, and c2 = a2 + b2, then the triangle is a right triangle. If c2 ≠ a2 + b2, then the triangle is not a right triangle. let us see some example problems based on the above concept.
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows: c² = a² + b². 10² = (5√3)² + 5². 100 = 75 + 25. 100 = 100. Therefore, the triangle with the given measurements is a right triangle.
21² + 21² = 29²
and
9² + 12² = 15²
pls help....which of them is it and no link or I will report
What is the percent of change from 800,000 to 600,000?
How many photovoltaic cells does it take to power a cell phone?
3
6
9
12
Answer: 12
Step-by-step explanation:
Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.
Please help!
Answer:
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Step-by-step explanation:
The system of equation in matrix form is defined by following vector formula:
[tex]\vec A \cdot \vec x = \vec b[/tex] (1)
Where:
[tex]\vec A[/tex] - Matrix of coefficients.
[tex]\vec x[/tex] - Column vector of variables.
[tex]\vec b[/tex] - Column vector of results.
If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:
[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Then,
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
A cube is made up of squares with sides 3 cm long. What is the surface area of the cube?
9514 1404 393
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has an area that is ...
A = s² = (3 cm)² = 9 cm²
Then the area of the cube is ...
6 × 9 cm² = 54 cm²
Answer:
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has has an area that is ...
A= s²=(3cm)²=9cm²Then the area of the cube is ...
6×9cm²= 54cm²Hola me podría alguien ayudar con esto? Muchas gracias!
Answer:
Las respuestas estan a continuacion.
Step-by-step explanation:
Tres mas que un numero = a+3
La diferencia entr eun numero y 5 = a - 5
4 menos que n = 4 - n
Un numero aumenta en 1 = x + 1
Un numero disminuido en 10 = z - 10
El producto de dos numeros = x*y
Dos veces la suma de dos numeros = 2(a+b)
Doce veces un numero sumado a otro = 2a+b
El coceinte de dos numeros = a/b
Un numero aumentado en 3 = x+3
Un numero dismunuido en 2 = a - 2
El producto de m y n = m*n
El antecesor de un numero cualquiera = n - 1
El sucesor de un numero cualquiera = x+1
Espero te haya servido!
Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong
Answer:
r=1.681793,−1.681793
Step-by-step explanation:
Factor the expression: -30x - 15
Answer:
Factored expression: -15 (2x + 1)
the composite figure is made up of three simpler shapes? what is the area of the figure
Answer:
B. 68 square cm
Step-by-step explanation:
0.5 x 6 x 5 = 15
5 x 7 = 35
9 x 2 = 18
15+35+18 =68
Mary has $15.63 left in her wallet after spending $8.01 on snacks. How much did she have in her wallet before she bought the snacks? (Do not put the $ sign in your answer. Just type the amount without the $ sign.
What's 8x3 please help me.
Answer:
24
Step-by-step explanation:
Answer: Equals 24! Have a great day!
Please help I would appreciate it
Answer:
Lower and upper quartiles(B)
Step-by-step explanation:
Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The y-axis intersects the x-axis at the point (0 , 0).III.The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.IV.The y-axis is a horizontal number line that passes through the origin.
Answer:
No i does not well it will be 0,5 or any other number but the x wont change
Step-by-step explanation: