Answer:
x = y = 6.5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
the triangle is isosceles, both base angles are 45° then the 2 legs are congruent , that is x = y
using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 13[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = y = 6.5[tex]\sqrt{2}[/tex]
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
(Proportion)
Evaluate 4n when n =13
Evaluate a/b when a = 27 and b=3
Evaluate 3x - 14 when x=6
Evaluate z2 + 8.5 when z =2
Evaluate x(36-y) when x =4 and y = 8
PLEASE HELP!!!
Answer:
1) 52
2) 9
3) 4
4) 12.5
5) 112
Step-by-step explanation:
So for each of them, we just need to substitute and solve.
4n = 4 * 13 = 52
a/b = 27/3 = 9
3x - 14 = 3*6 - 14 = 18 - 14 = 4
z2 + 8.5 = 2*2 + 8.5 = 4 + 8.5 = 12.5
x(36 - y) = 4(36 - 8) = 4(28) = 112
I hope this helped and please mark brainliest!
¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?
what is the answer i need help what is A
Step-by-step explanation:
V=a×b×c
136/2=68in³
68in³=a×3in×3in
a=68/9
a=7.5in =x
Question 6
Which set of data has the weakest linear association?
10
10
8
8
6
6
2
0
3
5
10
10
8
8
6
6
4
2
2
0
un
N
3
Answer:
the first set is the weakest
Faith is organizing textbooks on her bookshelf. She has a Spanish textbook, a math
textbook, and a physics textbook. How many different ways can she line the textbooks
up on her bookshelf?
Answer:6
Step-by-step explanation: 3 *2*1=6
Answer:
6
Step-by-step explanation:
took test
3*2*1=6
formula for profit percentage?
Answer:
For instance, say you pay $8,000 for goods and sell them for $10,000. Your gross profit is $2,000. Divide this figure by the total revenue to get your gross profit margin: 0.2. Multiply this figure by 100 to get your gross profit margin percentage: 20 percent.
Step-by-step explanation:
Helpppppp mehhhhhh plssss
Answer:
b
Step-by-step explanation:
HELP!!!! 100 POINTS FOR THESE QUESTIONS. CHECK PHOTO FOR QUESTIONS. GEOMETRY
1.How many inches are in a foot
2.The space between the finger and the thumb is 3 1/2 inches, convert this measurement to feet
3. The hand in the image is 15 inches in front of the camera. Convert this measurement to feet.
4. Write the ratio of distance from the camera to the hand to the space between the fingers. Use the measurements that were calculated in feet
5. According to Wikipedia, the tower that houses Big Ben is 315 feet in height. Write a ratio of the distance from the camera to the base of the tower to the height of the tower. *hint – introduce a variable on this step*
6. Setup a proportion to find the distance from the camera to the base of the tower
7. Solve the proportion from number 6.
Answer:
1=12 inches
2=42 inches
3= 315 feet
4= it looks like he’s less than 1/4th of a mile away from big ben
5=?
6=?
Step-by-step explanation:
thats all i could help with
What is the longest side of a right triangle?
A )Right Angle
B) Hypotenuse
C)Lega
D )Leg B
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
Answer:
1196
Step-by-step explanation:
trust me i checked the answer!
NEED HELP WITH THIS ASAP!!
Find the distance between the two points rounding to the nearest tenth (if necessary). (2,−3) and (0,−8)
Answer:
square root of 29
Step-by-step explanation:
use the distance formula and then plug the numbers in, i got the sqrt(29) after i did that
A grocery store buys 300 lb of rice. After a week, the store has sold 210 lb of the rice. The manager uses this bar to show how rice has been sold. Select true or False each statement.
7/100 of the rice has sold true or false
70% of the rice has sold true or false
3/10 of the rice remains to be sold. true or false
90% of the rice remains to be sold true or false
Answer
false
true
false
false
If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?
Answer:
sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]
Step-by-step explanation:
Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the third side, the adjacent is found using Pythagoras' identity, that is
adj² + opp² = hyp²
adj² + 2² = 5²
adj² + 4 = 25 ( subtract 4 from both sides )
adj² = 21 ( take the square root of both sides )
adj = [tex]\sqrt{21}[/tex] , then
cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]
Using the double angle identity
sin2x = 2sinxcosx
= 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]
= [tex]\frac{4\sqrt{21} }{25}[/tex]
Jim buys some tacos and burritos which cost him $15.75. John buys some tacos and burritos which cost him $8.25. Tacos cost $1.50 each and burritos cost $2.25 each, how many of each did Joe and John buy?
Let t = the number of tacos and b= the number of burritos.
1. Which equation represents Joe?
2. Which equation represents John?
3. John bought:
tacos
burritos
4. Joe bought:
tacos
burritos
Triangles ABC and DEF similar
Answer:
DE = 4 1/2
EF = 3 3/4
Step-by-step explanation:
AB/AC = DE/DF
6/4 = DE/3
cross-multiply:
4DE = 18
DE = 18/4 or 4 1/2
AB/BC = DE/EF
6/5 = 4.5/EF
cross-multiply:
6EF = 22.5
EF = 3.75
Plz help I don’t know how to solve this
Answer:
7- 110
11-70
about rest I don't know sorry
A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results.
Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?
PLEASE ANSWER ASAP!!!
Step-by-step explanation:
dkdjfjfjfjureuwuweee
PLZ HELP ME WILL GIVE BRAINLIEST. THANKYOU!!
Answer:
x = -4
y = -1
Step-by-step explanation:
-2x - 9 = -5x - 21
3x - 9 = -21
3x = -12
x = -4
y = -2(-4) - 9
y = 8 - 9
y = -1
Answer:
x=−4 and y=−1
Step-by-step explanation:
I will solve your system by substitution.
y=−2x−9;y=−5x−21
Step: Solve y=−2x−9for y:
Step: Substitute−2x−9foryiny=−5x−21:
y=−5x−21
−2x−9=−5x−21
−2x−9+5x=−5x−21+5x(Add 5x to both sides)
3x−9=−21
3x−9+9=−21+9(Add 9 to both sides)
3x=−12
(Divide both sides by 3)
x=−4
Step: Substitute−4forxiny=−2x−9:
y=−2x−9
y=(−2)(−4)−9
y=−1(Simplify both sides of the equation)
Answer:
x=−4 and y=−1
lütfen bana yardımcı olun
Answer:
d cevap eksiler artı oldu
If mZBAC = (7x + 1) º and
mZBCA = (52 + 9) . what is the
measure of the vertex angle?
==========================================================
Explanation:
Angle BAC can be shortened to "angle A" since the letter A is in the middle.
Angle BCA can be shortened to "angle C" for similar reasoning.
We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent
-----------
Let's use this fact to solve for x.
angle A = angle C
7x+1 = 5x+9
7x-5x = 9-1
2x = 8
x = 8/2
x = 4
Once we know what x is, we can find each base angle
angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29Both angles A and C are 29 degrees each, so this confirms we have the correct x value.
-----------
The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.
A+B+C = 180
29+B+29 = 180
B+58 = 180
B = 180-58
B = 122
The vertex angle is 122 degrees.
So we can say either angle B = 122, or we could say angle ABC = 122
"angle ABC" is the same as "angle CBA".
which number line shows the inequality 4x-3>-7
x>-1
Step-by-step explanation:
I don't see any number lines but it would be one with an open circle going right from -1.
how do i use the quadratic formula on 5x + x2 + 10 = 0
Answer:math away is the best for the question u have
Step-by-step explanation:
Mathaway
Step-by-step explanation:
Solve the equation for x by finding a, b and c o f the quadratic then applying the quadratic formula.
5 ± i√15
x = ----------------------------
2
(2x + 1, XS-5
f(x)= x?, -5
3-x, x5
f(-10) =
f(2) =
f(-5) =
f(-1) =
f(8) =
Answer:
Step-by-step explanation:
The value of the function is given by the relation
f ( x = -10 ) = -19
f ( 2 ) = 4
f ( -5 ) = 25
f ( -1 ) = 1
f ( 8 ) = -5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = { 2x + 1 when x ≤ 5
x² when -5 ≤ x ≤ 5
3 - x when x ≥ 5 }
Now , the value of the function is given by
when x = -10
f ( -10 ) = 2 ( -10 ) + 1
f ( -10 ) = -19
f ( 2 ) = 2²
f ( 2 ) = 4
f ( -5 ) = ( -5 )²
f ( -5 ) = 25
f ( -1 ) = ( -1 )²
f ( -1 ) = 1
f ( 8 ) = 3 - 8
f ( 8 ) = -5
Hence , the function is solved
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ7
fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Given the equation:
2 = -(7/4) + (1/4)x
Add 7/4 to both sides of the equation:
2 + 7/4 = -(7/4) + (1/4)x + 7/4
(1/4)x = 15/4
Multiply both sides by 4:
x = 15
The solution to the equation 2 = -(7/4) + (1/4)x is x = 15
Find out more on equation at: https://brainly.com/question/2972832
Simplify the expression. 25(z-4)
Answer:
25z-100
Step-by-step explanation:
What is the surface area of the cone in terms of pi
15 m 8 m
Answer:
Multiply po ba yan? Or hindi po?
Basahin niyo po yung comment ko hehehe
Help plsss !!!! Thnk you!!!!
(a^2 + ab – 3b^2) + (4a^2 - ab + b^2) =
Answer:
i tried ok
Step-by-step explanation:
10 i think lol
Answer:
5a²-2b²
bro this is the answer ok
if you need explanation tell ok
hope it helps you
please mark me as brainlist