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4 years ago

What's the name for the angle 35°

1 answer:

7 0

Any angle that would be less than 80 degrees would be known to be called an "Acute Angle". Therefore, your correct answer would then be known to be called an Acute Angle.

I hope this helps you!

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Luis was hired to make some jewelry for a special occasion. He needs to make the jewelry out of an alloy that is 54%silver and h

AleksAgata [21]

9514 1404 393

Answer:

3 ounces of 75%
7 ounces of 45%

Step-by-step explanation:

Let x represent the number of ounces of 75% silver needed. Then (10-x) is the number of ounces of 45% silver. The total silver required is ...

0.75x +0.45(10 -x) = 0.54(10)

0.30x +4.5 = 5.4

0.30x = 0.9

x = 0.9/0.3 = 3 . . . . . ounces of 75% silver

10-x = 7 . . . . . ounces of 45% silver

Luis needs 7 ounces of 45% silver and 3 ounces of 75% silver.

8 0

3 years ago

I have to take a pic of the question

11111nata11111 [884]

ANSWER

$y=\frac{2}{3}x+\frac{4}{3}$

EXPLANATION

We want to find the equation of the straight line given on the graph.

The general form of a linear equation is given as:

$y=mx+b$

where m = slope; b = y-intercept

To find the slope, we apply the formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x1, y1) and (x2, y2) are two points on the line

Let us pick (1,2) and (4,4)

Therefore, the slope is:

$m=\frac{4-2}{4-1}=\frac{2}{3}$

To find the equation, we now apply the point-slope formula:

$y-y_1=m(x-x_1)$

Therefore, we have that the equation of the line is:

$\begin{gathered} y-2=\frac{2}{3}(x-1) \\ y-2=\frac{2}{3}x-\frac{2}{3} \\ y=\frac{2}{3}x-\frac{2}{3}+2 \\ y=\frac{2}{3}x+\frac{4}{3} \end{gathered}$

That is the equation of the line.

8 0

1 year ago

5. Find the sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4

Elza [17]

Answer:

The sum of the first 35 terms of the arithmetic sequence when a = 5 and d = 4 is 2555.

Step-by-step explanation:

Given:

a = 5

d = 4

To Find :

The sum of first 35 terms of the arithmetic sequence = ?

Solution:

Step 1 : finding the 35th term

$a_n = a_1 +(n-1)d$

$a_35 = 5 +(35-1)4$

$a_35 = 5 +(34)4$

$a_35 = 5 +136$

$a_35 = 141$

Step 2: Finding the sum of first 35 terms

$S_n = \frac{n(a_1 +a_n)}{2}$

Substituting the values

$S_n = \frac{35(5+141)}{2}$

$S_n = \frac{35(146)}{2}$

$S_n = \frac{5110)}{2}$

$S_n = 2555$

7 0

4 years ago

What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

PilotLPTM [1.2K]

ANSWER

The orthocenter is $(-4,8)$

EXPLANATION

The orthocenter is the point of intersection of all the altitudes of a triangle.

If it is a right angle triangle then the orthocenter is the point at which the right angle is made.

If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.

So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.

The given triangle has vertices $J(-4,-1)$ , $(-4,8)$ , and $L(2,8)$ .

$Slope_{JK}=\frac{8--1}{-4--4}$

$Slope_{JK}=\frac{8+1}{-4+4}$

$Slope_{JK}=\frac{9}{0}$

Since the denominator is zero, the slope is undefined.

If the slope of a straight line is undefined, then that line is parallel to the y-axis. In other words, it is a vertical line.

$Slope_{JL}=\frac{8--1}{2--4}$

$Slope_{JL}=\frac{8+1}{2+4}$

$Slope_{JL}=\frac{9}{6}$

$Slope_{JL}=\frac{3}{2}$

$Slope_{KL}=\frac{8-8}{2--4}$

$Slope_{KL}=\frac{0}{2+4}$

$Slope_{KL}=\frac{0}{6}$

$Slope_{KL}=0$

if a straight line has a slope of zero, that line is parallel to the x-axis or it is horizontal.

From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.

See graph.

Therefore the coordinates of K, $(-4,8)$ is the orthocenter of the given triangle.

3 0

3 years ago

If Susan subtracts 11 from one-fourth of her number she gets 11

Dmitry_Shevchenko [17]

So "one fourth of her number" basically means 1/4 of an unknown number, x. So 1/4x. then susan subtracts 11. So its 1/4x - 11 = 11 (because she gets 11)

4 0

4 years ago