All categories

3 years ago

Can someone please help me with these questions (picture)

Mathematics

2 answers:

Roman55 [17]3 years ago

5 0

Answer:

4 sqrt(5); 41.0

Step-by-step explanation:

Question 7:

Using Pythagoras theorem:

y = sqrt(12^2 - 8^2)

y = sqrt(80)

y = 4 sqrt(5)

Question 8:

A = Area rectangle + Area circle

A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2

A = 10.56 + 9.68 pi

A = 41.0

Alexxx [7]3 years ago

4 0

Step-by-step explanation:

Answer 1 to find the base to apply the Pythagoras theorem..of finding length..

Hypotenuse²= Base²+ Height²

So,

(H)²= (B)²+(H)²

12²= 8²+y²

144-64=y²

80=y²

√80= y

√2×2×2×2×5= y

2×2√5= y ( take one 2 from each pair)

4√5= y

hope it helps...

You might be interested in

I NEED HELP WITH THIS:

Lena [83]

Answer:

the answer is C because its 6 times 6 times 6

3 0

3 years ago

Read 2 more answers

-3(v+3)-4(v+2) simplify

sergey [27]

Answer:

-7v - 17

Step-by-step explanation:

-3(v+3)-4(v+2)

= -3v - 9 - 4v - 8

= -7v - 17

7 0

4 years ago

Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at ne

BlackZzzverrR [31]

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

$\triangle HGI, \triangle JKL$

$G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)$

$J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)$

Given that:

$HI\cong KL$ and

$\angle I \cong \angle L$

SAS congruence between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. $\triangle GHI \cong \triangle JKL$ by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula to find IG and LJ:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$IG =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units$

$LJ =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units$

Hence, segment IG ≅ segment LJ

$\therefore$ ΔGHI ≅ ΔJKL by SAS

4 0

3 years ago

Suppose you invest, every month, in an annuity that pays 3% interest, compounded monthly. After 25 years, you have $550,000. How

erma4kov [3.2K]

Answer:

180100

Step-by-step explanation:

Use savings annuity formula

Substitute A(25) = $550,000 , R= 0.03 and N=12 simplify and solve for D.

4 0

3 years ago

Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every

DaniilM [7]

36 because I did this on my test before

5 0

3 years ago