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3 years ago

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5) ?

Mathematics

1 answer:

kogti [31]3 years ago

3 0

(1,9) (-3,5)
Midpoint = (1+{-3}/2) (9+5/2)
(1-3/2) (14/2)
(-2/2) (7)
(-1) (7)

Midpoint Answer = (-1, 7)

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In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°. Find the length of k, to the nearest inch.\

s2008m [1.1K]

Given:

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

In ΔKLM, using law of sine, we get

$\dfrac{k}{\sin K}=\dfrac{l}{\sin L}$

$\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}$

$k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}$

On further simplification, we get

$k=\dfrac{48\times 0.819152}{0.7193398}$

$k=\dfrac{39.319296}{0.7193398}$

$k=54.66025
$

Approximate the value to the nearest inch.

$k\approx 55
$

Therefore, the length of k is 55 inch.

4 0

3 years ago

Please please help!

Dimas [21]

Answer:

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 9) and (x₂, y₂ ) = (3, 1)

d = $\sqrt{(3+3)^2+(1-9)^2}$

= $\sqrt{6^2+(-8)^2}$

= $\sqrt{36+64}$

$\sqrt{100}$ = 10 → C

8 0

3 years ago

In the diagram, the length of segment VS is 39 units.

Darina [25.2K]

Answer:

$TV=38\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The figure shows a kite

The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular

That means

TS=VS

TQ=VQ

TR=RV

we have

$VS=39\ units$

$TS=6x-3$

$6x-3=39$

solve for x

$6x=39+3\\6x=42\\x=7$

Find the value of RV

$RV=2x+5$

substitute the value of x

$RV=2(7)+5=19\ units$

Remember that

$TV=TR+RV$ ---> by segment addition postulate

we have

$TR=RV=19\ units$

$TV=19+19=38\ units$

5 0

3 years ago

I’m having a hard time understanding substitution. Please help!

Vikentia [17]

$b_1=\frac{2A}{h}-b_2$

Step-by-step explanation:

Given expression is;

$A=\frac{h(b_1+b_2)}{2}$

Solving for $b_1$

Multiplying both sides by 2

$2*A=\frac{h(b_1+b_2)}{2}*2\\2A=h(b_1+b_2)$

Dividing both sides by h

$\frac{2A}{h}=\frac{h(b_1+b_2)}{h}\\\frac{2A}{h}=b_1+b_2$

Subtracting $b_2$ from both sides

$\frac{2A}{h}-b_2=b_1+b_2-b_2\\\frac{2A}{h}-b_2=b_1\\b_1=\frac{2A}{h}-b_2$

$b_1=\frac{2A}{h}-b_2$

Keywords: division, subtraction

Learn more about subtraction at:

#LearnwithBrainly

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3 years ago

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. if tyra typically works 45 h

Debora [2.8K]

She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:

21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.

Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.

She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:

5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.

Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together

40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.

856 + 160.5 = 1016.5.

Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.

Hope this helps, let me know if you need anything else! :)

7 0

3 years ago

Read 2 more answers