Answer:
Here a = 20,, b= 8
Step-by-step explanation:
Using Pythagoras theorem,
a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100
Answer:
a = 20, b = 8
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
a² + 15² = 25²
a² + 225 = 625 ( subtract 225 from both sides )
a² = 400 ( take the square root of both sides )
a = [tex]\sqrt{400}[/tex] = 20
(2)
b² + 6² = 10²
b² + 36 = 100 ( subtract 36 from both sides )
b² = 64 ( take the square root of both sides )
b = [tex]\sqrt{64}[/tex] = 8
What is the missing degree measure of the third angle of the triangle below?
46°
56°
68°
90°
Answer:
56 degrees
Step-by-step explanation:
Hello there!
Remember the sum of the angles in a triangle is equal to 180
so to find the missing angle we subtract the given angles from 180
180 - 34 - 90 = 56
so we can conclude that the measure of the missing angle is 56 degrees
Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from
Answer:
third angle Δ = 56°hope it help you
This statement shows the ______ property.
Answer:
besti you didnt put the statement
∠A and \ angle B∠B are complementary angles. If m\angle A=(x+8)^{\circ}∠A=(x+8) ∘ and m\angle B=(8x+1)^{\circ}∠B=(8x+1) ∘ , then find the measure of \angle A∠A.
Answer: [tex]17^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle A=(x+8)^{\circ}[/tex]
[tex]\angle B=(8x+1)^{\circ}[/tex]
Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]
[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]
[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]
what are the coordinates of the circumcenter of ABC
Answer:
4,3 8,2
Step-by-step explanation:
Find the product
0.75 x 2.1 =
Answer:
the anwser is 0.1575
Step-by-step explanation:
+_(!_+_7$!$!_+_+$($!_;"+_+_!
help
me
im so lost lol
Answer: 10.2
Step-by-step explanation:
Use the Pythagorean Thoerem
[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]
[tex]b=\sqrt{104}\\\\b=10.2[/tex]
Answer:
x = 10.2
Step-by-step explanation:
the exact solution is 10.19804
50a+80
GIVING BRAINLEST
Answer:
180
Step-by-step explanation:
Write a real world problem for: 80-3x=53
Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
Find the inverse of the given function.
y = log2(4x)
Answer:
f^−1(x)=2^x/4
Step-by-step explanation:
The inverse of the function will be;
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ y = log₂ (4x)
Now,
Since, The function is,
⇒ y = log₂ (4x)
Find the inverse of the function as;
⇒ y = log₂ (4x)
⇒ [tex]2^{y} = 4x[/tex]
⇒ [tex]\frac{2^{y}}{4} = x[/tex]
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Thus, The inverse of the function y = log₂ (4x) is,
⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]
Learn more about the function visit:
https://brainly.com/question/28361556
#SPJ2
A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answer to the nearest hundreth of a degree.
Answer:
The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°
Step-by-step explanation:
The number of of equal sides in a regular 13-gon = 13 sides
The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;
θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]
By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°
Michael surveyed 960 of the students in his school about their favorite color. 912 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:
95%
Step-by-step explanation:
912÷960=0.95
Hope this helps.
11x - 8y = -4
-4x + 3y = 2
Answer:
x=4, y=6. (4, 6).
Step-by-step explanation:
11x-8y=-4
-4x+3y=2
----------------
4(11x-8y)=4(-4)
11(-4x+3y)=11(2)
-------------------------
44x-32y=-16
-44x+33y=22
-------------------
y=6
11x-8(6)=-4
11x-48=-4
11x=-4+48
11x=44
x=44/11
x=4
If ΔABC ≅ ΔDEF, find the measure of ∠B.
Answer:
I believe it is 67 degrees
Step-by-step explanation:
Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.
find the value of given expression
[tex] \sqrt{23 - ( - 2)} [/tex]
Answer:
hello
The answer will be 5
Step-by-step explanation:
hope it helps
the square on the right is a scaled copy of the square on the left identify the scale factor
Find C.
Round to the nearest tenth
Answer:
Step-by-step explanation:
c^2=a^2+b^2-2abcosC
cosC= (a^2+b^2-c^2)/(2ab)
C=arccos[(a^2+b^2-c^2)/(2ab)]
C=arccos(90^2+55^2-50^2)/(2(90)55)
C=arccos(8625)/(9900)
C=29.4 degrees
I really need help...Will mark brainiest
Answer:
[tex]x^{2} -1[/tex]
Step-by-step explanation:
You will need to multiply and distribute out the equation.
[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]
ASSAP EASY MATH does a shape stay congruent when it has been rotated
Answer:
They are still congruent even after being rotated they still will remain the same shape.
Step-by-step explanation:
Answer:All the sides of each shape must be identical. so yes if it is
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
a rational number m is called a perfect square if and only if for some positive rational number, m equals
Help meeeee please and thank you
1. Complete these statements. Give an example and solution of each.
Whenever you divide two terms with the same base, you ______ the base and _______ the exponents.
Example:
Whenever you multiply two terms with the same base, you _________ the base and ___________ the exponents.
Example:
Answer:
Whenever you divide two terms with the same base, you keep the base and subtract the exponents.
Example:
x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴
or
8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷
Whenever you multiply two terms with the same base, you keep the base and add the exponents.
Example:
x³ × x⁷ = x³⁺⁷ = x¹⁰
or
12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴
Write a problem you could represent with the equation 3k - 12 = 6 . Solve the equation and show your solution .
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3k - 12 = 6}[/tex]
[tex]\large\text{ADD 12 to BOTH SIDES}[/tex]
[tex]\textsf{3k - 12 + 12 = 6 + 12}[/tex]
[tex]\large\text{Cancel out: -12 + 12 because it gives you 0}[/tex]
[tex]\large\text{Keep: 6 + 12 because it helps you solve for k}[/tex]
[tex]\mathsf{6 + 12 = 18}[/tex]
[tex]\large\text{New equation: 3k = 18}[/tex]
[tex]\mathsf{3k = 18}[/tex]
[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3k}{3} = \dfrac{18}{3}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you 1 }[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{18}{3}}\large\text{ because that helps you solve for k}[/tex]
[tex]\large\text{New equation}\mathsf{\dfrac{18}{3}=k}[/tex]
[tex]\mathsf{\dfrac{18}{3}=18\div3\rightarrow\bf 6}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf k = 6}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero
Answer: Los dos números son 8 y 5
Explanation:
Considere los dos números como
x
and
y
A partir de los datos dados, escribimos:
x
−
y
=
3
x
+
y
=
13
A partir de la primera ecuación, determinamos un valor para
x
.
x
−
y
=
3
agregar
y
a ambos lados.
x
=
y
+
3
En la segunda ecuación, sustituya
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Abra los corchetes y simplifique.
y
+
3
+
y
=
13
2
y
+
3
=
13
Sustraer
3
de cada lado.
2
y
=
10
Divide ambos lados por
2
.
y
=
5
En la primera ecuación, sustituya
y
con
5
.
x
−
y
=
3
x
−
5
=
3
Agregar
5
a cada lado.
x
=
8
Step-by-step explanation:
Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 47 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.
Step-by-step explanation:
Take milk to to be M and snack bars to be S.
Use algebra, so
2m + 3s = 64 and also
4m + 2s = 72
Multiply the top equation by 2 so both have 4m, so
4m + 6s = 128 and also
4m + 2s = 72
Then minus the numbers form the top equation by the bottom equation, so
4m + 6s = 128
- - -
4m + 2s = 72
This gives you 4s=56 so divide by 4 so s=14
No put 14 into the equation for s and rearrange to solve for m, so
2m+3s=64 So
2m+3x14=64
2m+42=64
Then minus 42
2m=22
m=11
Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime.
Answer:
(x, y) ⇒ (x - 5, y - 3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).
Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:
(x, y) ⇒ (x - 5, y - 3)
Write in the line in slope-intercept form given the slope of 1/3, through the point (-6,9)
Answer:
y = ¹/₃x + 11Step-by-step explanation:
A line passing through point (x₁, y₁) with the slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-6, 9) x₁ = -6, y₁ = 9
So:
y - 9 = ¹/₃(x - (-6))
y - 9 = ¹/₃(x + 6) ← point-slope form
y - 9 = ¹/₃x + 2 {add 9 to both sides}
y = ¹/₃x + 11 ← slope intercept form
Which equation can be used to find the value of x?
Answer: D
Step-by-step explanation:
The perimeter is all the sides added up
2.5x + 2.5x + 10 + 2 + 10 =>
5x + 22
It is also given that the perimeter is 10.5x
meaning that both these values are equal
5x + 22 = 10.5x
(2x + y) (2x + 2y) =
Answer: 4x^2 + 6xy + 2y^2
Step-by-step explanation:
(2x + y)(2x + 2y) =
2x*2x + 2x*2y + y*2x + y^2y =
4x^2 + 4xy + 2xy + 2y^2 =
4x^2 + 6xy + 2y^2
Answer:
4x² + 6xy + 2y²
Step-by-step explanation:
Given
(2x + y)(2x + 2y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis
= 4x² + 4xy + 2xy + 2y² ← collect like terms
= 4x² + 6xy + 2y²
HELP FASTTT WILL MARK BRAINLIST⚠️⚠️
Which mapping diagram represents a function from xy?
Answer:
A
Step-by-step explanation:
For every input there can only be ONE output
A triangle has sides that are 3, 7, and squareroot 57. Is the triangle a right triangle?
Answer:
my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side
3²+7²=9+49=58
(√57)²=57
57≠58 it's not a right angle triangle
assume the sides to be a,b and c
a=3 b=7 c=√57
by Pythagoras theorem
a²+b²=c²
3²+7²=√57²
but 58≠57
hope it's clear