If AD is 10 inches long BD is 6 inches long
Answer:
AB = 8 inches
Step-by-step explanation:
given :
AD = 10 inches
BD = 6 inches
AB = ?
using pythagoras theorem
a^2 + b^2 = c^2
BD^2 + AB^2 = AD^2
6^2 + AB^2 = 10^2
36 + AB^2 = 100
AB^2 = 100 - 36
AB^2 = 64
AB = [tex]\sqrt{64[/tex]
AB = 8
The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC is equal to 8 inches.
In the figure of triangle ADC ,
DB is perpendicular to AC such that A- B- C.
Measure of angle CBD = 90 degrees
This implies,
As angle ABD and CBD are linear pair
⇒ Measure of angle CBD + Measure of ABD = 180°
⇒ 90° + Measure of ABD = 180°
⇒ Measure of ABD = 180° - 90°
⇒ Measure of ABD = 90°
Now triangle ABD is right angle triangle,
AD = 10 inches
BD = 6 inches
By applying Pythagoras theorem we have,
AB² + BD² = AD²
⇒ AB² = AD² - BD²
⇒ AB² = 10² - 6²
⇒ AB² = 100 -36
⇒ AB² = 64
⇒ AB = √64
⇒ AB = 8 inches
Therefore, the length of the AB is equal to 8 inches.
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help me with these asap
What is the first step in solving 6(3x+10) = 78?
Multiply both sides of the equation by 6.
Subtract 6 from both sides of the equation.
Simplify the left side of the equal sign by distributing the 6 across (3x + 10).
Answer:
Simplify the left side of the equal sign by distributing the 6 across (3x + 10).
Step-by-step explanation:
6(3x+10) = 78
Distribute the 6
18x +60 = 78
Subtract 60 from each side
18x+60-60 = 78-60
18x = 18
Divide each side by 18
18x/18 =18/18
x =1
Answer:
3rd option
Step-by-step explanation:
Given
6(3x + 10) = 78 ← distribute the parenthesis on left side
18x + 60 = 78 ( subtract 60 from both sides )
18x = 18 ( divide both sides by 18 )
x = 1
MCQ type questions.
[tex]1) \sqrt{ - 1 } = [/tex]
[tex]i) \: i \\ ii) \: {i}^{2} \\ iii) {i}^{3} \\ iv) \: {i}^{4} [/tex]
Answer: Option one i.
Explanation:
Just rewrite √-1 as i.
“HOT PIZZA” is offering a 20% discount on all its pizzas
Ali orders a pizza for the reduced price of £5.60
what was the original price of the pizza?
Answer:
p = £7.00
Step-by-step explanation:
Represent the original price by p. Then 0.80p = £5.60, or p = £7.00.
If a price is discounted by 20%, the discounted price is (1 - 0.20), or 0.80, times the original price.
Which graph shows a function whose inverse is also a function?
T
5
4
3
2
+1)
-2.-1
3
4
5
X
Answer:
hello the function graph is turned 90 degree like clock way.
All the plotted graphs represent functions whose inverse is also a function.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the function whose inverse is also a function.
A one to one function is a type of function whose inverse is also a function. The linear equations are one to one functions. They are of the form {y} = ax + b. This means that all of the graphs plotted represent a function whose inverse is also a function. So, we can conclude that all the plotted graphs represent the straight line, and all of them represent functions whose inverse is also a function.
Therefore, all the plotted graphs represent functions whose inverse is also a function.
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Please help me answer 23, 24, 25 and 26!!!
Answer:
23. c
24.b
25. box 2
26. 48, 26
Step-by-step explanation:
calculate the perimeter of segment in r= 21cm, a=135
Step-by-step explanation:
r=21cm
a=135
perimeter=2r+ar
=2×21+135×21
=42+2835
=2877cm
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answer:C
Step-by-step explanation:it’s really simple
Answer:
C.
Step-by-step explanation:
[tex]\sqrt{8}+2\sqrt{3}[/tex]
I really don't understand this.
Answer:
parang wla po yung answer
Step-by-step explanation:
The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .
Answer:
Their present age are 15 and 18
Step-by-step explanation:
a : b = 5 : 6
[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]
Water is flowing into a conical drinking cup with an altitude of 8 inches and a radius of 5 inches, as shown in the figure.
Answer:
[tex]V=435.41\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
Water is flowing into a conical drinking cup.
The radius of cup, r = 5 inches
The height of the cup, h = 8 inches
Let us assume to find the volume of water coming. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 52\times 8\\\\=435.41\ \text{inches}^3[/tex]
So, the volume of water flowing is [tex]435.41\ \text{inches}^3[/tex].
Berapakah hasil dari
=> 7³ + 8?
[tex] \: [/tex]
Answer:
[tex]351[/tex]
Step-by-step explanation:
[tex]7³ + 8[/tex]
[tex](7 \times 7 \times 7) + 8[/tex]
[tex]343 + 8[/tex]
[tex]351[/tex]
Hope it is helpful....Berapakah hasil 7^3 + 8 = ...
Mari kita coba jawab!
Langkah pertama:
= 7 × 7 × 7
= 49 × 7
= 343 .
Langkah kedua:
= 8
= 8 .
Langkah ketiga:
= 343 + 8
= 351 .
Maka, hasilnya 351 .
Estimate the product of -3.33 and 0.199 using the compatible numbers -3 and 0.2. Find the exact product of -3.33(0.199).
Answer:
-0.6
-0.66267
Step-by-step explanation:
Estimating the product :
Using compatible number :
-3 * 0.2
__ 0.2
* ___-3
______
_ - 0.6
______
-3 * 0.2 = 0.6
The exact product :
-3.33(0.199).
Using calculator :
-3.33(0.199) = - 0.66267
Answer:
-0.66267
Your. Welcome
I AM MARKING BRAINLEST IF YOU HELP ME PLEASE! Don't forget to show work :)
Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
Answer:
Step-by-step explanation:
6x the ''2'' is supposed to be a exponent all the time -42=0
6x2 -42 + 42=0 +42 {add 42 to both sides}
6x2=42
6x2 42
------fraction brackets = ------- {divide by 6}
6 6
x2 =7
solve for x: 3(x-5)+4x-2=4
Answer:
x = 3
Step-by-step explanation:
3(x−5)+4x−2=4
Step 1: Simplify both sides of the equation.
3(x−5)+4x−2=4
(3)(x)+(3)(−5)+4x+−2=4(Distribute)
3x+−15+4x+−2=4
(3x+4x)+(−15+−2)=4(Combine Like Terms)
7x+−17=4
7x−17=4
Step 2: Add 17 to both sides.
7x−17+17=4+17
7x=21
Step 3: Divide both sides by 7.
7x
7
=
21
7
x=3
A truck is being filled with cube-shaped packages that have side lengths of \frac{1}{4} 4 1 foot. The part of the truck that is being filled is in the shape of a rectangular prism with dimensions 8ft\times6\frac{1}{4}ft\times7\frac{1}{2}ft8ft×6 4 1 ft×7 2 1 ft.
Complete Question
A truck is being filled with cube-shaped packages that have side lengths 1/4 foot. The part of the truck that is being filled is in the shape of a rectangular prism with dimensions 8ft × 6 1/4 ft × 7 1/2 ft. Find the number of cubes that can fill that part of the truck
Answer:
1500 cubes
Step-by-step explanation:
Step 1
Find the volume of the cube
V = side length ³
V = (1/4 ft)³
V = 1/64
Step 2
Find the volume of the rectangular prism
= Length × Width × Height
= 8ft × 6 1/4 ft × 7 1/2 ft
= 8 × 25/4 × 15/2
= 375 ft³
Step 3
Number of cubes in the truck
Volume of the Rectangular Prism ÷ Volume of the cube
= 375ft³ ÷ 1/4ft³
= 375 × 4
= 1500 cubes
Therefore, the number of cubes that can fill that part of the truck(Rectangular prism) = 1500 cubes
A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the area of the square?
Answer:
√2π / 4
Step-by-step explanation:
what is the product of 172837286 and 17368364????
Answer:
3.0019009e+15
Step-by-step explanation:
the word and is multiplication so multiply the two numbers
Answer:
3.001900896*10^15 is the answer
PLEASE HELPPPPPPPPPPPPPPPPPPPP
Answer:
28cm^2
Step-by-step explanation:
By splitting the shape into 2 separate rectangles, you can find that they would be 6cm by 3cm and 5cm by 2cm. doing length x width on both and adding them gives 28cm.
what is the value of f(x) = 2•2 ^x for f(-2)?
Answer:
Sorry icant help
Step-by-step explanation:
i never did this before
Suppose that F(x)= x^2 and G(x) 4/5 x^2. Which statements best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) stretched vertically.
b. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.
C. The graph of G(x) is the graph of F(x) compressed vertically.
d. The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis.
Answer:
Step-by-step explanation:
C. The graph of G(x) is the graph of F(x) compressed vertically.
If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.
Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).
Please help I’ll give brainliest
Answer:
367.5
Step-by-step explanation:
5x7x10.5
Answer:
367.5
Step-by-step explanation:
5 x 7 = 35
35 x 10.5 = 367.5
The graph shows the value of a certain model of car compared with its age.
Which statement is false?
Car's value ($)
Car's ago (years)
A. The correlation coefficient is close to -1,
B. The car's value is the explanatory variable.
O O Od
C. The car's age is strongly correlated to its value.
D. The data show a negative linear relationship.
Answer:
B. The car's age is the explanatory variable
Step-by-step explanation:
The graph shows a negative linear relationship between car's age and car's value because, as as one variable increases, the other decreases.
Also, data points are close to each other along the line of best fits, therefore, the correlation coefficient would be close to -1, showing a strong negative relationship.
An explanation variable is one that isn't affected or dependent on another variable. In this case, the car's age is the explanatory variable and not the car's value. The car's value is dependent on the car's age, therefore, the car's age is the explanatory variable.
The statement in option B is FALSE.
Find the original price.
Original price: $_____
Discount: 20%
Sale price: $75
Answer:
$90
Step-by-step explanation:
Answer:
The original price is $93.75 if it is 20% off you will pay $75.
Step-by-step explanation:
1st.) We know the original price is considered 100%
So...Subtract the discount from the original percent.
100% (original percent)
20% (discount percent)
----
80%
2nd.) Make equation. We need the percent to be in decimal form so move the decimal point to the left two places. (80% will now equal 0.8)
0.8x=$75
0.8x/0.8=$75/0.8
x=$93.75
----------------------------
The original price is $93.75 if it is 20% off you will pay $75.
Please help I’ll give brainliest
Answer:
Answer is 670000 If you can please give me brainliest
Worth 12 points and please actually help me
Answer:
(-3,0)
Step-by-step explanation:
Step 1 identify coordinates of A
The coordinate of A is (-6 , 2)
Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value
(-6 + 3 , 2 - 2)
Simplify
(-3 , 0)
Its due in 20 mins
Will mark brainliest
Answer:
a) 20 km away fro the starting point.
b) The bearing from P to R is 80°.
c) Q is 60 km North P.
d) Q is - 60 km west of P
Step-by-step explanation:
Stating Facts in the Question:
P to Q is 80 km and bearing 330°
It turned around, Q to R is 60 km and bearing 250°.
a) Picture a number line (Look at the first image)
You go 80 to the right. You turn around and go 60 to the left.
80 - 60 = 20
20 km away fro the starting point
b) Picture a number line (Look at the second image)
P to Q is bearing 330°
Q to R is 60 km is bearing 250°
P to Q is red
Q to R is blue
330° - 250° = 80°
The bearing from P to R is 80°
c) P to Q is 60 km
The plane went forward or North so the answer is 60 km.
Q is 60 km North P.
d) Q to P is 60 km
Q is not to the west of P
Q is - 60 km west of P
Given the expression below, what will the sign of the product be? Justify your answer. 4x (9) * 2.78 x (13) * (-}) *(-6.2) * (- 2873) * (31)
Answer:
i don't know ha ha ha ha sorry